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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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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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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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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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?
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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energy saving can be known as energy production.
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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gasoline is to be stocked in a bulk tank once at the beginning of each week and then sold to individual customers. the joint density of y1, the proportion of the capacity of the tank that is stocked at the beginning of the week, and y2, the proportion of the capacity sold during the week, is given by f(y1, y2)
Oil or other petroleum liquids are used to create gasoline, a fuel. The majority of gasoline is utilized in car engines. Finished motor is created in refineries and blending plants for petroleum.
Why is gasoline called that?Etymology. The word "gasoline" (commonly abbreviated to "gas") is indeed an American term for motor vehicle fuel. The brand "Cazeline" or "Gazeline," which bears the last name the British publisher, coffee trader, and social activist John Cassell, is claimed to have had some impact on the phrase.
Are autos that run on gasoline?An combustion engine that runs on gasoline is referred to as a "petrol engine" in American English (gasoline). The ability to run on fuels like liquid petroleum gas gas and ethanol mixes can frequently be added to gasoline engines.
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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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Balloon A has charge q, and identical mass balloon B has charge 10q. You hang them from threads near each other. Choose all of the statements with which you agree. Check all that apply. A.) The force that A exerts on B is 10 times the force that B exerts on A. B.) The angle between the thread supporting A and the vertical is less than the angle between the thread supporting B and the vertical. C.) The force that A exerts on B is 1/10 the force that B exerts on A. D.) A and B exert the same magnitude forces on each other.
The required option is A.) The force that A exerts on B is 10 times the force that B exerts on A., C.) The force that A exerts on B is 1/10 the force that B exerts on A.
What is electrostatics force?Non-contact forces, such as electrostatic forces, pull or push on objects without actually making contact with them. When certain materials are rubbed together, a phenomenon known as "charge" can be transferred from one surface to another. Uncharged items are pulled by charged objects, which in turn may push or pull against other charged ones.
According to question:For options
A.) The force that A exerts on B is 10 times the force that B exerts on A.
C.) The force that A exerts on B is 1/10 the force that B exerts on A.
because,
The forces between two charged objects are proportional to the product of the charges and inversely proportional to the square of the distance between the objects. So, the force that A exerts on B is proportional to q * 10q / d^2 and the force that B exerts on A is proportional to 10q * q / d^2, where d is the distance between the two objects. Thus, the force that A exerts on B is 10 times the force that B exerts on A, and the force that A exerts on B is 1/10 the force that B exerts on A.
As for B.) The angle between the thread supporting A and the vertical, and the angle between the thread supporting B and the vertical depend on the mass of the balloons and the tension in the threads, which are not given in the problem. So, it's not possible to determine the relative angles of the threads.
And D.) A and B do not exert the same magnitude forces on each other, as explained above
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If you wanted to document the apparent retrograde motion of Mars, you would need to measure and record Mars's __________ over a period of __________.
If you wanted to document the apparent retrograde motion of Mars, you'd need to measure and record Mars's position among the constellations over a period of several months.
Earth, about every 26 months, comes up from behind and overtakes Mars. It will look to us as if Mars is moving up and down. The illusion will disappear and once again we will see Mars move in a straight line as we move farther along the curved orbit and see the planet from a different angle. This apparent movement is called retrograde motion.
Mars retrograde lasts about a couple months. When it's happening, Mars usually stays in a particular constellation.
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Determine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load.
Using the information provided, I am unable to determine the internal normal force, shear force, and bending moment in the beam at points C and D.
What is force?A force is an effect in physics that may modify the velocity of an item. A force can cause a mass item to change its velocity, or accelerate. Intuitively, force may be characterized as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Here,
We need to do a structural analysis on a beam to estimate the internal normal force, shear force, and bending moment utilizing methods such as equilibrium equations and the force-moment method. We only have information on the location of the load and the type of support at point B in this situation, thus a thorough analysis is impossible. I am unable to calculate the internal normal force, shear force, and bending moment in the beam at positions C and D using the information supplied. To do a thorough structural analysis, further information on the load, support conditions, and beam geometry is necessary.
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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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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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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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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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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 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?
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?
Superman throws a boulder of weight 1950N at an adversary on the surface of the earth, where the magnitude of the acceleration due to gravity, g = 9.80m/s2 . What horizontal force must Superman apply to the boulder to give it a horizontal acceleration of 14.6m/s2 ?
The mass of the boulder can be calculated from its weight, which is given as [tex]1950 N[/tex]
How do you define force?Force is a physical quantity that represents an interaction between two objects. It is a vector quantity. Force is expressed in units of Newtons (N).
What does Newton's laws of motion describes?Newton's laws of motion explains how objects move and interact with each other. These laws state that the acceleration of an object is proportional to the force applied to it and inversely proportional to its mass. The laws also state that the sum of forces acting on an object is equal to its mass times its acceleration.
[tex]m=W/g=1950 N/9.8m/s^{2}=198Kg[/tex]
Substituting the mass and the desired acceleration into the equation, we have:
[tex]F=198Kg*14.6m/s^{2}=2889 N[/tex]
Therefore, Superman must apply a horizontal force of [tex]2889 N[/tex] to the boulder to give it a horizontal acceleration of [tex]14.63m/s^{2}[/tex]
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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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A 3.96-kg pile of snow is sitting on the ground. A physics teacher
exerts a force upon the pile of snow to both lift it and set it into
motion. The snow leaves the shovel with a speed of 4.61 m/s at a
height of 0.536 m. Determine the work done upon the pile of snow.
Work is the amount of energy transferred to an object by an external force when it is moved over a certain distance by that force.
What is Work done?The work done on an object is the amount of energy transferred to an object through work.
Work completed force displacement along the force's path of action. The units of measurement for work, force, and displacement are joules, newtons, and meters, respectively.
When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement.
Therefore, Work is the amount of energy transferred to an object by an external force when it is moved over a certain distance by that force.
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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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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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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 rock cycle processes with situations in which they would likely occur. instructions weathering weathering drop zone empty. uplift uplift drop zone empty. solidification solidification drop zone empty. melting melting drop zone empty. deformation deformation drop zone empty. erosion erosion drop zone empty. rock at great depth is exposed to high temperatures. a rock within a mountain range undergoes deformation and movement due to tectonics. a loose piece of rock at the surface is moved away from its source area by ice, water, wind, or gravity. strong forces squeeze a rock and cause it to bend and fold. magma at depth or lava at the surface is hardened as it cools. a rock at the surface is exposed to atmospheric processes.
the methods used to transform rock through one shape to another a rock cycle There are one or more processes that crystals, freezing, drying, erosion, and metamorphism go through.
Where in the rock cycle does weathering take place?At or near the surface, weathering (the method by which rock) and erosion (the process of transferring rock material) reduce rocks to ever-tinier fragments. These more minute rock fragments, including such sand, silt, or mud, can indeed be deposited as sediments, which then harden or lithify to form sedimentary rocks.
Can uplift take place during in the rock cycle?Uplift is a force of transportation that affects rocks in the rock cycle. Sometimes, moving rock fragments from weathered rocks is a part of transportation. However, uplift includes the earth's pressure pushing underground rocks upward.
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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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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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1) In a uniform circular motion, which of the following quantities are constant:
a) speed,
b) instantaneous velocity,
c) tangential velocity,
d) radial acceleration,
e) tangential acceleration
2) Which of the above quantities are zero throughout the motion?
The amount of tangential velocity, or speed, of an item at each point in a uniform circular motion is constant. Every time there is a direction shift, the velocity enters the picture. However, its magnitude never changes.
Constant speed is it uniform?
The body is thought to be moving at a uniform speed if it travels the same distance in the same amount of time. If the body goes in a straight line with changing its direction, the speed is thought to be constant. In all scenarios, there is no acceleration. Recall that homogeneous velocity is a constant velocity as well.
Is uniform acceleration constant?
Summary. Acceleration that remains consistent across time is referred to as uniform acceleration. the relationship between beginning and ultimate velocities, time,
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Find the gravitational field on the surface of an alien planet that has an estimated mass of 8.5 x 10^26 kg and radius of 3.5 x 10^4 km. Show all work.
Answer:
Below
Explanation:
Fg = G m1 m2 / r^2 Gravitational constant = 6.6743 x10^-11 m^3 /(kg s^2)
PLug in the given numbers:
Fg = 6.6743 x 10^-11 (1 kg)(8.5x10^26 kg) / (3.5 x10^7 m)^2
= 46.3 m/s^2