Two discs are mounted on thin, lightweight rods oriented through their centers and normal to the discs. These axles are constrained to be vertical at all times, and the discs can pivot frictionlessly on the rods. The discs have identical thickness and are made of the same material, but have differing radii r 2r and 2-r. As shown in the figure, viewed from the top, the discs are given counterclockwise (positive) angular velocities and , respectively and brought into contact at their edges. The discs then interact via friction. After a long time the discs settled at nonzero angular velocities without slipping relative to each other. Let the initial and final angular velocities of the discofradius ri be o,-20) and ω,-ω respectively, with ω>0 . Ignore effects associated with the vertical rods. Find the initial angular velocity of the disc of radius r2, we冫wor-t

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.

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 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.

The 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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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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The speed of the electron at point B is 4.51 x 10⁵ m/s.

The speed of the proton at point B is 1.913 × 10⁴ m/s.

Part A: The electric field will exert a force on the electron in the opposite direction of its motion. The magnitude of the force is given by the product of the electric field strength (1.51 N/C) and the charge of the electron (-1.60 x 10⁻¹⁹C). The acceleration of the electron due to this force is given by the force divided by its mass (9.11 x 10⁻³¹ kg). The velocity of the electron after a time t can be calculated using the kinematic equation v = v₀ + at, where v₀ is the initial velocity and a is the acceleration.

The time t can be calculated from the distance the electron moves in the electric field (0.380 m) and its initial velocity: t = x / v₀

Finally, the speed of the electron at point B can be calculated as the magnitude of its velocity.

Putting everything together, we get:

F = qE = -1.60 x 10⁻¹⁹ C x 1.51 N/C = -2.42 x 10⁻¹⁸ N

a = F / m = -2.42 x 10⁻¹⁸ N / 9.11 x 10⁻³¹ kg = -2.65 x 10¹² m/s²

t = x / v₀ = 0.380 m / 4.51 x 10⁵ m/s = 8.38 x 10⁻⁷ s

v = v₀ + at = 4.51 x 10⁵ m/s - 2.65 x 10¹² m/s² x 8.38 x 10⁻⁷ s = 4.51 x 10⁵ m/s - 0.22 m/s

The speed of the electron at point B is approximately 4.51 x 10⁵ m/s - 0.22 m/s = 4.51 x 10⁵ m/s.

Part B: The velocity of a charged particle moving in a uniform electric field is given by v = v₀ + at, where v₀ is the initial velocity, a is the acceleration, and t is the time elapsed.

In this case, the electric field acts on the proton, which has a positive charge, and thus the direction of acceleration is to the west. The magnitude of the acceleration is given by a = qE/m, where q is the charge of the proton and m is its mass.

Since the electric field is uniform, we can use the equation x = v₀t + 0.5at², where x is the displacement of the proton, to find the time elapsed.

Plugging in the given values, we have:

x = 0.380 m

v₀ = 1.91 × 10⁴ m/s

q = 1.6 × 10⁻¹⁹ C (charge of a proton)

E = 1.51 N/C

m = 1.67 × 10⁻²⁷ kg (mass of a proton)

Solving for t, we find that t = 4.40 × 10⁻⁷ s.

Substituting this value back into the equation for v, we find that the speed of the proton at point B is 1.913 × 10⁴ m/s.

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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."

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.

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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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 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.)

(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?

Drag in fluid dynamics is a force that opposes an object's relative motion to the fluid it is moving relative to.

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.

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?

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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The specific heat capacity of the metal  is 0.5744 J/kg/K

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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Because the tank's volume is fixed (it's rigid), the pressure must rise when additional gas is supplied.

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) 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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The velocity of the object of charge Q₃ will be 8109.25 m/s.

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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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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a) The Cartesian components of tension TnA for unit vector by the magnitude of tension is (-87.89, -74.59, 47.44), i lb, j lb, k lb.

b) The tension in cable DC is TnC = 74.59 lb.

Part A: Determining Cartesian components of force

To find the Cartesian components of the tension TnA, we need to determine the direction of the tension from point D to point A. The direction can be expressed in terms of unit vectors i, j, and k.

The direction from point D to point A can be expressed as the vector (AXD) = (-4.50,-3.80,2.80) ft - (0,0,0) ft = (-4.50,-3.80,2.80) ft.

To convert the direction vector into a unit vector, we divide each component by the magnitude of the vector:

AXD = (-4.50,-3.80,2.80)/√((-4.50)² + (-3.80)² + (2.80)²) = (-8.158, -6.889, 4.532)

Finally, the Cartesian components of tension TnA can be found by multiplying the unit vector by the magnitude of tension:

TnA = 10.6 lb × (-8.158, -6.889, 4.532) = (-87.89, -74.59, 47.44), i lb, j lb, k lb

Part B: Determining an unknown force

To find the tension in cable DC, we need to find the net force acting on the ball. The net force can be expressed in terms of its Cartesian components, which can be calculated as the sum of the tensions in cables DA, DB, and DC.

Let's call the tension in cable DC TnC. The net force in the x-direction is equal to the sum of the x-components of the tensions, which is:

-87.89 + TnC = 0

TnC = 87.89 lb

Similarly, the net force in the y-direction is equal to the sum of the y-components of the tensions, which is:

-74.59 + TnC = 0

TnC = 74.59 lb

Since the net force must be zero, TnC must be equal in both the x-direction and the y-direction. Therefore, TnC = 87.89 lb = 74.59 lb.

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The question is -

To determine Cartesian force components from the magnitude and determine the position and resultant vectors by summing Cartesian components. Part A- Determining Cartesian components of force As shown, a 3.3-lb ball is suspended at point D inside a box with dimensions w = 8.90 ft, d 6.40 ft, and h = 4.50 ft.

The ball is held in place by three cables anchored at points A, B, and C on the surface of the box. The tension in cable DA has a magnitude of TnA = 10.6 1b. Find the Cartesian components of tension TnA which is directed from D to A.

D is the origin of the Cartesian coordinate system, point A is located at (-4.50,-3.80,2.80) ft, point B is located at (1.90,-3.80,1.80) ft, and point C is located at (1.90, 5.10, -1.70) ft.

Part B- Determining an unknown force If the tensions in cables DA and DB are Tpa = 10.6 lb and TDB 6.98 lb, respectively, what is the tension in cable DC? Express your answer to three significant figures and include the appropriate units.

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.

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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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.  

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.

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.

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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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.

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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A social event must be painstakingly planned and the budget developed.

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 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?

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?

If the arrival process is a Poisson process, the average cost per unit time can be calculated using the following formula:

where 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

Setting 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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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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The model to show changes in the nucleus of an atom during nuclear fission and fusion is given in the images attached.

Alpha decay is a type of radioactive decay where the parent nucleus loses an alpha particle, which is made up of two protons and two neutrons. This results in the formation of a smaller nucleus. Alpha particles have a high amount of kinetic energy and can cause harm to skin and living tissue if not shielded properly. However, they are relatively easy to shield against as they can be stopped by simple materials such as paper or fabric.

Therefore, To compare the amounts of energy released in alpha decay to other events, one could look at the half-life of the radioactive material and the energy released during each decay event. For example, gamma decay releases a large amount of energy in the form of high-energy photons, which are much more difficult to shield against compared to alpha particles. Similarly, beta decay releases high-energy electrons, which can also cause harm to living tissue if not shielded against properly.

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Elliptical galaxies make up both the largest and smallest galaxies in the cosmos. One trillion or more stars can be found in giant elliptical galaxies. Dwarf ellipticals have less than 10 million stars.

The solar system is a very large area compared to your neighbourhood , your nation, or even planet Earth. However, there are much larger systems—groups of two, two hundred, or two billion stars—in the cosmos. Star clusters are somewhat bigger groups of stars than star systems, which are smaller groups of stars.

The nucleus, a central bulge, a disc, spiral arms, and a large halo are the four main structural divisions of this structure.

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The reversed and normal magnetized stripes that are associated with mid-ocean ridges are arranged roughly parallel to the ridge in linear, magnetic patterns.

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.

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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