The best suited Gaussian surface for this purpose would be a sphere of radius R + a/2. Gauss' law states that the electric flux through any closed surface is proportional to the charge enclosed within that surface.
In this case, using a sphere as the Gaussian surface will enclose the entire charged cube, making it easier to calculate the electric field. The size of the sphere (R + a/2) should be chosen such that it is large enough to encompass the charged cube, but not so large as to include any other charged objects that might affect the electric field calculation. A Gaussian surface is a hypothetical surface used in physics to calculate the electric flux through a closed surface. Gaussian surfaces are often chosen for their symmetry and simplicity, and are used in conjunction with Gauss' law to calculate the electric field at a point in space. The electric flux through the Gaussian surface is proportional to the charge enclosed within the surface, and by measuring the electric flux, the electric field at the point of interest can be calculated.
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a ball of mass 1 kg strikes a heavy platform, elastically, moving upwards with a velocity of 5m/s.the speed of the ball just before the collision is 10m/s downwards. then the impulse imparted by the platform on the ball is (e=1) a. 15N b 10N C.20N D.30N
The impulse imparted by the platform on the ball is 15 Ns, which is equal to option (A). We need to use the law of
To calculate the impulse imparted by the platform on the ball, we need to consider the law of conservation of momentum. According to this law, the total momentum of a system of objects remains constant if no external forces act on it. In the case of the ball striking the platform, the total momentum of the system is equal to the momentum of the ball just before the collision plus the momentum of the platform.
At the moment of impact, the ball's momentum was 10 m/s downward and the platform's momentum was 0. The ball is then sent back upward with a velocity of 5 m/s, so its final momentum is 5 m/s upward.
The impulse imparted by the platform on the ball is equal to the change in momentum of the ball, which can be calculated as:
Impulse = Final momentum - Initial momentum = (1 kg)(5 m/s) - (1 kg)(-10 m/s) = 15 Ns
Therefore, the impulse imparted by the platform on the ball is 15 Ns, which is equal to option (A).
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your bedroom has a rectangular shape and you want to measure it's size. you use a tape that is precise to 0.001m and find that the shortest wall in the room is 3.547m long. the tape however is too short to measure the length of the second wall, so you use a second tape, which is longer but only precise to 0 01m.you measure the second wall to be 4.79m long.Which of the following numbers is the most precise estimate that you can obtain from your measurement for the area of your bedroom.
using the measurement described in part A, which of the following numbers is the most precise estimate for the perimeter of your bedroom?
if your bedroom has a circular shape, and it's diameter measures 6.32m. which of the following numbers would be most precise value for its area.
A) The most precise estimate for the area of the rectangular bedroom is 11.9 m^2, as it's calculated using the two different precision measurements of the two walls.
B) The most precise estimate for the perimeter of the rectangular bedroom is 12.3 m, which is calculated by summing up the two lengths of the walls and multiplying by 2.
C) The most precise estimate for the area of the circular bedroom is 31.7 m^2, which is calculated using the formula πr^2 where r is the radius (diameter/2) which is 6.32m/2 = 3.16m.
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when marie pushes her desk to the right, friction between the floor and the desk acts toward when marie pushes her desk to the right, friction between the floor and the desk acts toward the right. at right angles to her push. the left. none of the above
Marie moves her desk to the right, causing friction between the desk and the floor that moves it to "the left." Thus, option C is correct.
The force of friction prevents movement between two surfaces that are in contact with one another. When Marie pushes her desk to the right, friction acts between the desk and the floor in the opposite direction to her push, which is to the left. The direction of friction is determined by the direction of motion between the two surfaces and the direction of the force that opposes this motion.
Friction acts to slow down or stop the motion of an object, so when Marie pushes the desk to the right, friction acts to the left to counteract her push and slow down the motion of the desk. The magnitude of the friction force depends on the roughness of the two surfaces and the force with which they are pressed together.
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energy saving can be known as energy production.
the boom oa carries a load p and is supported by two cables as shown. knowing that the tension in cable ab is 288 lb and that the resultant of the load p and of the forces exerted at a by the two cables must be directed along oa, determine the tension in cable ac.
To determine the tension in cable AC, we need to use the equation of equilibrium: the sum of the forces in the horizontal direction (Fx) must be equal to zero. The forces in the horizontal direction are the load P, the tension TAB in cable AB and the tension TAC in cable AC.
Fx = P - TAB + TAC = 0
Therefore, TAC = P + TAB
Substituting the known values, we get
TAC = P + TAB = 288 lb
Therefore, the tension in cable AC is 288 lb.
Tension force is a force experienced by a rope, string, or cable when it is pulled from the opposite end. It acts along the length of the rope, string, or cable, and is the result of the electromagnetic forces which hold the rope together as something tries to stretch it. The amount of force that gets transmitted depends on the tension in the rope, string, or cable, which can be increased by increasing the amount of force applied to it.
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Suppose in Example 7.13that the arrival process is a Poisson process and suppose that the policy employed is to dispatch the train every t time units.(a) Determine the average cost per unit time.(b) Show that the minimal average cost per unit time for such a policy is approximately c/2plus the average cost per unit time for the best policy of the type considered in that example
If the arrival process is a Poisson process, the average cost per unit time can be calculated using the following formula:
Average Cost per Unit Time = (c * t * λ) / 2where c is the cost of dispatching the train, t is the time interval between each dispatch, and λ is the average number of arrivals per unit of time.
To find the minimal average cost per unit time for a policy of dispatching the train every t time units, we need to minimize the expression (c * t * λ) / 2. Taking the derivative with respect to t, we get
d(c * t * λ) / 2dt = c * λSetting this equal to 0 and solving for t, we get t = 0, which gives us the minimal average cost per unit time of c/2. Thus, the minimal average cost per unit time for a policy of dispatching the train every t time units is approximately c/2 plus the average cost per unit time for the best policy of the type considered in that example.
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a 20.0-m tall hollow aluminum flagpole is equivalent in strength to a solid cylinder 4.00 cm in diameter. a strong wind bends the pole much as a horizontal force of 1100 n exerted at the top would. randomized variables f
The top of the pole flex reaches 22.7mm when a strong wind bends the pole much as a horizontal force of 1100N exerted at the top would.
Given the horizontal force exerted at the top (F) = 1100N
The diameter of cylinder (d) = 4cm = 4 x 10^-2m
The height of hollow aluminum flagpole (h) = 20m
Let the force of wind = Fw such that Fw = F
Let the distance the pole flex = s
We know that : s = (F x h^3)/(3 x E x A) where E is Youngs Modulus , A is area of cylinder
E = 70GPa (Young's Modulus of Aluminum),
A = (π*d^4)/4
Therefore, A = (π*(4.00 cm)^4)/4 = 6.45 x 10^-5 m^4
s = (1100N x (20 m)^3)/(3 x 70 GPa x 6.45 x 10^-5 m^4)
s = 2.27 x 10^-2 m = 22.7 mm
Therefore, the top of the pole will flex 22.7 mm to the side.
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complete question: A 20.0-m tall hollow aluminum flagpole is equivalent in strength to a solid cylinder 4.00 cm in diameter. A strong wind bends the pole much as a horizontal force of 1100 N exerted at the top would. Randomized Variables f = 1100 N How far to the side does the top of the pole flex in mm?
a curve with polar equation represents a line. this line has a cartesian equation of the form ,where and are constants. give the formula for in terms of . for example, if the line had equation then the answer would be . y
a cyclist is coasting at 12 m/sm/s when she starts down a 440 mm long slope that is 30 mm high. the cyclist and her bicycle have a combined mass of 70 kgkg. a steady 11 nn drag force due to air resistance acts on her as she coasts all the way to the bottom.
Drag in fluid dynamics is a force that opposes an object's relative motion to the fluid it is moving relative to.
What causes air resistance-related drag?Why Air Resistance Exists A force produced by air is known as "air resistance," sometimes known as "drag." An item slows down when air particles hit its front. As surface area grows, more air particles will hit the object, raising resistance overall.
Which two drag forces exist?Form drag or skin drag are two different categories of drag force. Form drag is brought on by a fluid's (liquids or gases) reluctance to being pushed aside by an item moving through it.
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The correct question is
A cyclist is coasting at 15 m/s when she starts down a 450 m long slope that is 30 m high. The cyclist and her bicycle have a combined mass of 70 kg. A steady 12 N drag force due to air resistance acts on her as she coasts all the way to the bottom.
What is her speed at the bottom of the slope?
suppose an arrow is shot upward on the moon with a velocity of 33 m/s, then its height in meters after seconds is given by . find the average velocity over the given time intervals.
The average velocity over the time intervals (2,3), (2,2.5), (2,2.1), (2,2.01), and (2,2.001) are -53.83 m/s, -1.234 m/s, -19.88 m/s, -49.53 m/s, and -529.3 m/s respectively.
To find the average velocity over a given time interval, we need to find the change in height (displacement) and divide it by the change in time (time interval).
For the time interval (2,3), the displacement is given by h(3) - h(2), which is the difference in height at t = 3 and t = 2. Plugging in the values into the equation for height, we get:
[tex]h(3) - h(2) =[/tex] [tex](53 * 3 - 0.83 * 3^2) - (53 * 2 - 0.83 * 2^2)[/tex]
= 53 - 106.83 = -53.83
The average velocity over the interval (2,3) is given by:
[tex](displacement) / (time interval) = (-53.83) / (3 - 2) = -53.83 m/s[/tex]
For the time interval (2,2.5), the displacement is given by h(2.5) - h(2), which is the difference in height at t = 2.5 and t = 2. Plugging in the values into the equation for height, we get:
[tex]h(2.5) - h(2) = (53 * 2.5 - 0.83 * 2.5^2) - (53 * 2 - 0.83 * 2^2)[/tex]
= 53 - 56.085 = -3.085
The average velocity over the interval (2,2.5) is given by:
[tex](displacement) / (time interval) = (-3.085) / (2.5 - 2) = -1.234 m/s[/tex]
Similarly, for the time intervals (2,2.1), (2,2.01) and (2,2.001), the average velocity can be found using the same method. The smaller the time interval, the closer the average velocity will be to the instantaneous velocity (i.e., the velocity at a specific instant in time) at t = 2.
Complete question:
Suppose an arrow is shot upward on the moon with a velocity of 53 m/s, then its height in meters after t seconds is given by h(t)=53t-0.83t^2. Find the average velocity over the given time intervals. (2,3) and (2,2.5) and (2,2.1) and (2,2.01) and (2,2.001).
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calculate the tension (in n) in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in the figure.
The tension in a horizontal strand of a spiderweb cannot be accurately determined without knowing additional information such as the mass of the spider, the size of the spiderweb, and the material properties of the spider silk. These factors all affect the tension in the strand.
About SpiderwebThe definition of web crawlers-or often also called Spiderweb-is a tool for indexing and downloading content from the internet, then storing it in a search engine database. So that when someone is looking for some information, the search engine will immediately display relevant results from the database.
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linear, magnetic patterns associated with mid-ocean ridges are configured as... concentric circles about a rising plume of hot, mantle rocks and magma reversed magnetization stripes only, while normal magnetizations do not form stripes normal and reversed magnetized stripes roughly parallel to the ridge normal and reversed magnetized stripes roughly perpendicular to the ridge axis
The reversed and normal magnetized stripes that are associated with mid-ocean ridges are arranged roughly parallel to the ridge in linear, magnetic patterns.
Which is a mid-ocean ridges association?At mid-ocean ridges, new oceanic crust is created through volcanic activity and then slowly travels away from the ridge. This process is known as seafloor spreading. Using the plate tectonics theory, seafloor spreading explains continental drift.
In mid-ocean ridges, what two characteristics are present?The mid-ocean ridge is where the majority of the planet's volcanism, including the creation of volcanoes and volcanic eruptions, takes place. It is here that the newly formed oceanic crust, which is made of lavas and sediments, is formed.
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Caleb opens a soda can by pulling on the tab. The picture shows Caleb opening the soda can. The
tab is a simple machine. What is the mechanical advantage of the tab?
Answer:
leverage to open it
Explanation:
The mechanical advantage of the tab of a soda can is that, it acts as a second class lever.
What is meant by a lever ?Lever is defined as a simple machine that increases the force. Lever is used to lift loads or weight by reducing the work.
Here,
Caleb opened a soda can by puling the tab of the can. The tab of the soda can here acts as a simple machine to open it.
The tab of the soda can is used to open the can such that it makes the task super easy. The tab of the can is an application of a second class lever.
Second class lever is the type of lever in which the fulcrum is located at one end and the load is in the middle such that the effort is applied in the other end. In the tab, the force is applied at one end upwards and the other end of the tab opens downwards to the can and thus it is opened. This is the working of the tab of a soda can.
Hence,
The mechanical advantage of the tab of a soda can is that, it acts as a second class lever.
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Two cars (A) and (B) travel in straight line. The distance of (A) from the starting point is given as a function of them be aA(t)=pt+qt2, with p=2.60ms−1 and q=1.20ms−2. The distance of (B) from the starting point is xB(t)=rt2−st3 are r=2.80ms−2 and s=0.20ms−3. Answer the following questions,
At what time (s) are the cars at the same point ?
At approximately 2.81 seconds the cars are at the same point. aA(t) is a linear function and xB(t) is a parabolic function.
Functions aA(t) and xB(t) describes the motion of two cars and both functions give the distance of each car from the starting point as a function of time, t.
aA(t) is a linear function and the components of the functions are constant velocity (p) and acceleration (q).
xB(t) is a parabolic function with components constant acceleration (r) and a component for constant jrk (s).
To find the time when the two cars are at the same location, we must first make the two distance expressions equal and then solve for t.
That is pt + qt² = rt² - st³
Now we have to solve this for t, we get
t = (-p + (p² + 4qr)^1/2) / (2q)
Now add the values for p,q,r,s to solve the equation
t = (-2.6 + (2.6² + 4 × 1.2 × 2.8)^0.5) / (2 × 1.2) = approximately 2.81 seconds.
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Two charges Q1
( + 2.00 µC) and Q2
( + 2.00 µC)
are placed symmetrically along the x-axis at
x = ± 3.00 cm . Consider a charge Q3
of charge
+4.00 µC and mass 10.0 mg moving along the y-axis.
If Q3
starts from rest at y = 2.00 cm, what is its speed
when it reaches y = 4.00 cm
The velocity of the object of charge Q₃ will be 8109.25 m/s.
What is kinetic energy?The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.
The velocity of the object of charge Q₃ will be =
√{(2/ 10.0 × 10⁻⁸)(9 × 10⁹) × 4 × 10⁻⁶(2.0 × 10⁻⁶(1/0.01 - 1/0.02) - 2.0 × 10⁻⁶(1/0.05 - 1/0.06))}
= 8109.25 m/s.
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which of the following allows courts to help parties determine their rights and duties even though neither may yet have been harmed, so long as there is a real case or controversy between them?
The power which allows courts to help parties determine their rights and duties even though neither may yet have been harmed, so long as there is a real case or controversy between them is called "judicial review."
What does Judicial Review allow?Judiacial review power allows courts to interpret and apply the law in order to resolve disputes and determine the constitutionality of laws and government actions.
Who exercises the Judicial Review power in US?In the United States, judicial review is exercised by the Supreme Court, which has the power to declare laws and executive actions unconstitutional. This power helps to ensure that the government acts within the limits set by the Constitution and that individuals' rights are protected.
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for what three times t after the force is applied is the rock a distance of 24.0 m from its position at t
Thus, t = 2 t=2 t=2 s, t = 6 t=6 t=6 s, and t = 9.29 t=9.29 t=9.29 s are the three times the rock is (24 m) removed from the origin.
What do you mean by origin in physics?The coordinate 0 on all axes is defined as the centre of a coordinate axis.
Physics, chemistry, biology, and certain aspects of mathematics were all part of natural philosophy for much of the last two millennia, but during the 17th century Scientific Revolution, these natural sciences developed as distinct research activities in their own right. [c] Physics connects with numerous interdisciplinary fields of study, including biophysics and quantum chemistry, and its borders are not firmly defined. New concepts in physics frequently explain fundamental principles explored by other sciences[3] and provide new research pathways in these and other academic fields such as mathematics and philosophy.
Physics advances frequently enable advances in new technologies.
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PROJECT: PARTY PLANNING Here is your goal for this project: Demonstrate skill in planning your own social event. Using the steps for planning to entertain, select one of the types of entertainment and plan a party on paper. You do not have to give a party or purchase anything. Decide on a theme other than Mexican Fiesta Party and write out your plans in detail, including the menu. Design and describe your invitations and decorations. Use the writing space provided in this assignment to record your details about your party planning decisions. Your plans and details should be at least 250 words.
A social event must be painstakingly planned and the budget developed.
How do you plan a social event?The steps that can be taken in planning a social event are;
Define the purpose and goals of the event: Determine what you want to achieve with the event, who the target audience is, and what kind of atmosphere you want to create.
Set a budget: Determine how much you can spend on the event and allocate funds for different expenses, such as venue rental, food and drinks, decorations, and entertainment.
Choose a date and location: Select a date that is convenient for your guests and a location that is suitable for the type of event you are planning.
Invite guests: Create a list of guests to invite and send out invitations, either by mail or email. Consider the size of the venue and the number of guests you would like to attend.
Plan the event details: Choose a theme or decor for the event, decide on the food and drink menu, and arrange for entertainment, such as music or games.
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the propagation of fatigue cracks in various aircraft parts has been the subject of extensive study in recent years. the accompanying data consists of propagation lives (flight hours/104) to reach a given crack size in fastener holes intended for use in military aircraft.
The mean of the given data is 1.0297 and median is 1.009.
Sum of terms=.736+.863+.865+.913+.915+1.394 = 16.475
Number of terms = 16
Mean=[tex]\frac{Sum of terma}{Number of terms}[/tex]
In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organised in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.
Mean=[tex]\frac{16.475}{16}[/tex]
On solving we get,
Mean ≈ 1.0297
The middle value in a sorted list of numbers is known as the median. The middle number must be found after sorting the numbers according to value in order to get the median.
When the data are arranged from least to largest, we obtain:
.736 .863 .865 .913 .915 .937 .983 1.007 1.011 1.064 1.109 1.132 1.140 1.153 1.253 1.394
The median is the average of these two values since, as you can see, we have two middle numbers rather than simply one:
Median=[tex]\frac{1.007 +1.011}{2}[/tex]
= 1.009
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an electron beam coming from an electron gun (shown below) consists of electrons that are uniformly distributed within a cylindrical region of space having a radius a
The current density vector is 0.318Amps/m^2, The volume charge density ρv0 inside the electron beam is 5.2488 × 10^13 C/m^3 and the spacing between the electrons is 0.0018m.
Given the radius of cylinder (a) = 1mm
The velocity of charge (v) = 0.1c = 0.1 x 3 x 10^8m/s
The current in the cylinder (I) = 1A
(a) J = I/A, where I is the current in the beam and A is the cylinder's cross-sectional area, yields the current density vector. A = πa^2 calculates the cylinder's cross-sectional area.
Therefore, the current density vector is [tex]J = 1/(π*1^2)[/tex] = 0.318Amps/m^2.
(b) The volume charge density ρv0 inside the electron beam
ρv0 = [tex](1 Amp)/(2πa^2v)[/tex]
[tex]ρv0 = (1 Amp)/(2π(1 mm)^2*(0.1c*2.99792458×10^8 m/s))[/tex]
ρv0 = 5.2488 × 10^13 C/m^3
(c) Average charge density = [tex]1 Amp/(0.1c x π xa^2)[/tex] = 1.5708*10^16 C/m^3
Since the electron is arranged on a cubical lattice, the charge in each cube is [tex](1.5708*10^16 C/m^3) * (∆^3) C.[/tex]
Therefore, the spacing between electrons is [tex]∆ = (1/1.5708*10^(16))^(1/3)[/tex] = 0.0018 m.
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complete question: An electron beam coming from an electron gun (shown below) consists of electrons that are uniformly distributed within a cylindrical region of space having a radius a = 1 [mm]. The axis of the cylinder is along the z axis, and the electrons are moving with a velocity vector v in the positive z direction. The velocity of the electrons is 0.1c where c is the speed of light (2.99792458 × 10^8 [m/s]). The magnitude of the current in the beam is 1 Amp.
a) Calculate the current density vector.
b) Calculate the volume charge density ρv0 inside the electron beam.
c) Calculate the spacing between the electrons, assuming that they are arranged on a cubical lattice, with spacing ∆ between the centers of adjacent electrons in the x, y, and z directions. (Hint: Think of one electron being at the center of each cube of length ∆ in the lattice. The average charge density can be found from considering how much charge is inside each cube.)
what is the change in electric potential energy in a lightning bolt if 35 c of charge travels to the ground from a cloud 2.0 km above the ground in the direction of the field? assume the electric field is uniform and has a magnitude of 1.0 x 106 n/c. [-7 x 1010j]
The change in electrical potential energy in a lightning bolt when 35C of charge travels from a cloud 2.0 km above the ground in the direction of the field is approximately 7 x 10¹⁰ J.
What is potential energy in electrical systems?
The total potential energy that a unit charge would have if it were positioned everywhere in space might be referred to as electric potential energy.
The following formula can be used to determine the change in electrical potential energy:
ΔU = qΔV
Where
The electrical potential energy change (U) and the charge (Q)
The shift in electric potential is denoted by V.
Charge = 35 C
Initial height: 2.0 kilometers, or 2.0 x 10³ meters
Magnitude of the electric field: 1.0 x 10⁶ N/C
Calculations for the change in electric potential are as follows:
V = Ed, where d is the travel distance and E is the strength of the electric field.
2 x 10³ m * (1.0 x 10⁶N/C) = 2x 10¹⁰V
Lastly, the alteration in electrical potential energy can be determined as follows:
ΔU = qΔV
ΔU = (35 C) * (2.0 x 10⁹ V)
ΔU = 7 x 10¹⁰ J
So, when 35 C of charge moves from a cloud 2.0 km above the ground in the direction of the field, the change in electrical potential energy in a lightning bolt is roughly 7 x 10¹⁰ J.
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the two blocks in fig. p4.46 are connected by a heavy uniform rope with a mass of 4.00 kg. an upward force of 200 n is applied as shown
(a) To create the free-body diagrams, we need to identify all of the forces acting on each of the three bodies: the 6.00 kg block, the 4.00 kg rope, and the 5.00 kg block.
Free-body diagram for the 6.00 kg block:
Weight (W1): downward, with a magnitude of m1g = 6.00 kg * 9.8 m/s^2 = 58.8 N
Weight (W2): downward, with a magnitude of m2g = 4.00 kg * 9.8 m/s^2 = 39.2 N
Free-body diagram for the 5.00 kg block:
Weight (W3): downward, with a magnitude of m3g = 5.00 kg * 9.8 m/s^2 = 49.0 N
(b) The acceleration of the system can be determined by using the equation for the net force on the system:
Fnet = ma
We know that the net force on the system is equal to the applied force, 200 N, so we can write:
m = (m1 + m2 + m3)
a = Fnet / m = 200 N / (6.00 kg + 4.00 kg + 5.00 kg) = 200 N / 15.00 kg = 13.33 m/s^2
(c) The tension at the top of the rope can be found by considering the net force on the 6.00 kg block. We know that the net force on the block is equal to the sum of the weight and the tension, so we can write:
Fnet = T1 - W1 = ma
T1 = Fnet + W1 = 200 N + 58.8 N = 258.8 N
(d) The tension at the midpoint of the rope can be found by considering the net force on the 4.00 kg rope. We know that the net force on the rope is equal to the difference between the tensions at the top and bottom of the rope, so we can write:
Fnet = T1 - T2 = ma
T2 = T1 - Fnet = 258.8 N - (39.2 N) = 219.6 N
Tension is a force exerted by a rope, cable, or string that is pulled taut. It is a measure of the force required to keep an object in balance or to prevent it from breaking or snapping under a load. In physics, tension is considered a non-contact force that acts along the length of a rope, cable, or string.
Tension is the result of the stretching or pulling of a material. The magnitude of tension depends on several factors, including the weight of the object being supported, the strength of the material, and the length of the rope, cable, or string. Tension is expressed in units of force, such as newtons or pounds.
Tension plays a critical role in many everyday applications. For example, tension is used to support bridges and suspension cables, to hoist heavy loads in construction and crane operations, and to maintain the stability of a tent or awning. In sports, tension is used in racquet strings, bowstrings, and fishing lines to provide the necessary force to propel a projectile.
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Complete Question: -
The two blocks in Fig. P4.54 are connected by a heavy uniform rope with a mass of 4.00 kg. An upward force of 200 N is applied as shown, ( a ) Draw three free - body diagrams: one for the 6. 00 - kg block, one for the 4.00 - kg rope, and another one for the 5.00 - kg block. For each force, indicate what body exerts that force. ( b ) What is the acceleration of the system? ( c ) What is the tension at the top of the heavy rope? ( d ) What is the tension at the midpoint of the rope?
a metal of mass 0.5 kg is heated to 100° c and then transfer to a real large calorimeter of heat capacity at Jasper k containing water of heat capacity for $20 per k at 15° c if the final study temperature of the mixture is 25° C find the specific heat capacity of the metal. I need this ASAP,I'll mark brainliest !!!!!!!!!!!
The specific heat capacity of the metal is 0.5744 J/kg/K
What is specific heat?Specific heat capacity is described as the amount of heat energy required to raise the temperature of a substance per unit of mass.
To calculate
Q = m_Metal * c_Metal * ΔT_Metal = -m_ Water * c_ Water * ΔT_ Water
The final temperature of the mixture is 25°C, the change in temperature of the water is:
ΔT_Water = 25°C - 15°C = 10°C
The heat transfer between the metal and the water is equal to the heat absorbed by the water, which can be calculated as:
Q = m_Water * c_Water * ΔT_Water = 0.5 kg * 20 J/kg/K * 10 K = 100 J
ΔT_Metal = Q / (m_Metal * c_Metal) = 100 J / (0.5 kg * c_Metal)
c_Metal = Q / (m_Metal * ΔT_Metal) = 100 J / (0.5 kg * (100°C - 25°C))
The specific heat capacity of the metal is 0.5744 J/kg/K
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What is something that has to happen to be considered Work?
A. standing
B. movement of an object
C. wearing a backpack
D. staring at the stars
Answer: B. movement of an object
Explanation:
To have something to be considered work, the force that you apply and the distance that you apply, must be the same direction.
a 2.1 kg block of wood sits on a frictionless table. a 3.0 g bullet, fired horizontally at a speed of 470 m/s , goes completely through the block, emerging at a speed of 190 m/s .
The speed of the block of mass 2.1 kg after the bullet of 3 g mass exits is 0.4 m/s.
A key idea in physics called momentum describes how much motion an item has. It has both a direction and a magnitude because it is a vector quantity.
Given:
Mass, m₁ = 2.1 kg, m₂ = 3 g
Speed, u₁ = 470 m/s, v₁ = 190 m/s
From the conservation of momentum
m₁×u₁ = m₁×v₁+ m₂×v₂
v₂ = (m₁×u₁- m₁×v₁)/m₂
v₂ = (0.003×470 - 0.003×190)/2.1
v₂ = 0.4 m/s
Hence, the speed of the block of mass 2.1 kg after the bullet of 3 g mass exits is 0.4 m/s.
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distance and displacement lab activity answer key place a piece of tape where you will begin your walk outside. this tag marks the origin
The distance between the origin and the destination is the length of the path that was traveled.
The displacement is always less than or equal to the distance since it is calculated along the shortest path between two places. While distance refers to "how much land an object has traversed throughout its journey," displacement measures "how far an object is out of place." Distance travelled, on the other hand, is the actual length the body travels, whereas displacement is the straight path between the initial and final places. While displacement is a vector quantity, distance is a scalar quantity. The final position less the starting position is known as displacement.
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complete question: distance and displacement lab activity answer key place a piece of tape where you will begin your walk outside. this tag marks the origin. What is the distance between the origin and your destination?
a rigid metal tank contains oxygen gas. which of the following applies to the gas in the tank when additional oxygen is added at constant temperature?
Because the tank's volume is fixed (it's rigid), the pressure must rise when additional gas is supplied.
What is pressure?The force per unit area on an item in the fluid or on the surface of a closed container is measured as fluid pressure. Gravity, acceleration, or forces outside a closed container can all create this pressure. Because a fluid has no fixed structure, its pressure is applied in all directions. Pressure is defined as the force applied perpendicular to the surface of an item per unit area across which that force is dispersed. Pressure is defined as the amount of force exerted perpendicular to an object's surface per unit area.
Here,
When more oxygen is supplied to a rigid metal tank containing oxygen gas at a fixed temperature, the gas pressure rises. At constant temperature, the pressure and volume of a gas are inversely related, according to Boyle's Law. Because the tank's volume is fixed (it's rigid), the pressure must rise when additional gas is supplied.
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Information for questions 2,3 , and
4.
You have an oscillating spring with a spring constant of
k=0.69 N/m
. The mass on the end of the spring is
m=0.34 kg
. You may assume the spring is massless. Questions 2, 3, and 4 ask you to show the position, velocity, and acceleration vs time graphs for this spring. Sketching out these graphs by hand may be helpful. U.2points Which of the following graphs most closely matches the displacement vs. time plot for this oscillating spring? Reference part
2.4
on p. 6 for help. Which of the following graphs most closely matches the velocity vs. time plot for this oscillating spring? You may find calculating your maximum velocity from question 2 helpful. Which of the following graphs most closely matches the acceleration vs. time plot for this oscillating spring? You may find calculating your maximum acceleration from question 3 helpful. In questions 2,3 , and 4 you assumed that the spring was massless. This means that the period,
T
, of the spring could be calculated by equation
2,T=2π m
/k
, where
m
is the mass attached to the spring and
k
is the spring constant of the spring. However, one cannot always assume that the spring is massless. If the spring has a mass
M
, which of the following expressions will you use during lab this week to model the mass of the spring?
T=2π k
m+M
T=2π k
m+M/3
T=2π k
m
This oscillating spring's displacement vs. time graph is a sine wave. This oscillating spring's velocity vs. time graph is a cosine wave.This oscillating spring's acceleration vs. time graph is a negative sine wave. If the spring has a mass M, the period may be computed using the formula T=2 (k/m + M/m)^-0.5.
What is oscillation?The process of recurring changes of any quantity or measure about its equilibrium value in time is characterized as oscillation. Oscillation may also be described as a periodic change in a matter's value between two values or near its center value.
Here,
This oscillating spring's displacement vs. time graph is a sine wave that illustrates the displacement of the mass on the end of the spring from its rest position as a function of time.
This oscillating spring's velocity vs. time graph is a cosine wave that displays the velocity of the mass at the end of the spring as a function of time.
This oscillating spring's acceleration vs. time graph is a negative sine wave that illustrates the acceleration of the mass at the end of the spring as a function of time.
If the spring has a mass M, the period may be computed using the formula T=2 (k/m + M/m)^-0.5
M=0
m=0.34 kg
k=0.69 N/m
T=2(0.69/0.34)^-0.5
T=1.404
model used: T=2(k/m)^-0.5
The displacement vs. time graph of this oscillating spring is a sine wave. The velocity vs. time graph of this oscillating spring is a cosine wave. The acceleration vs. time graph of this oscillating spring is a negative sine wave. If the spring has a mass M, the time T=2 (k/m + M/m)^-0.5 may be calculated.
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match the processes of the rock cycle with their definitions. instructions weathering weathering drop zone empty. transportation transportation drop zone empty. deposition deposition drop zone empty. uplift uplift drop zone empty. lithification lithification drop zone empty. breaking down of rocks either mechanically or chemically process of sediment turning into rock moving pieces of rock by wind, ice, or water occurs when the energy of the transported materials decreases upward movement of underground rocks to the surface
The mechanical or chemical degradation of rocks is known as weathering. rock fragments being transported via water, ice, or wind. When the energy of the transported materials declines, deposition takes place.
What steps comprise the rock cycle?Crystallization, metamorphism, and erosion and sedimentation are the three processes responsible for transforming one rock into another. By going through one or more of these processes, every rock can change into any other rock. The rock cycle is thus produced.
Describe the rock cycle.The "rock cycle" is a key concept that highlights the differences between the three main rock kinds (metamorphic, igneous and sedimentary). The different kinds of rocks found in the Earth's crust are created and altered by a number of processes, to put it simply.
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The identity of an element is defined by which of the following subatomic particle(s): (i) Number of Protons (ii) Number of Neutrons (iii) Number of Electrons A. (i), (ii) and (iii) B. (i) and (ii) only C. (i) and (iii) only D. (i) only E. (ii) only
The identity of an element is defined by its number of protons , which is also known as its atomic number. So, the correct answer is option D (i) only.
What is an atomic number?A chemical element's atomic number or nuclear charge number (symbol Z) is the charge number of an atomic nucleus. This is equal to the proton number (np) or the number of protons found in the nucleus of every atom of that element for conventional nuclei. Ordinary chemical elements can be uniquely identified by their atomic number. The atomic number in an ordinary uncharged atom is also equal to the number of electrons.
The atomic mass number A of an ordinary atom is calculated by adding the atomic number Z and the neutron number N. Because protons and neutrons have almost the same mass (and electron mass is unimportant for many uses) and the mass defect of the nucleon.
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