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Conservation of Energy

23 problems on kinematics and Newton's motion laws

(See attached file for full problem description with diagrams) --- Question 1: A 0.20-kg billiard ball traveling at a speed of 15 m/s strikes the side rail of a pool table at an angle of 60 degree. If the ball rebounds at the same speed and angle, what is the change in its momentum? Question 2: A one-dimensional impulse f

SHM With Conservation of Momentum, energy: Vertical spring

For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.300 of Italian ham. The slices of ham are weighed on a plate of mass 0.400 placed atop a vertical spring of negligible mass and force constant of 200 . The slices of ham are dropped on the plate all at the same time

A block is released from rest at the top of a curved-shaped frictionless wedge which rests on a frictionless horizontal surface. Its velocity at the time of leaving the wedge is known. To determine the velocity of the wedge after the block reaches the horizontal surface and the height of the wedge.

10. A small block of mass m1 = 0.480 kg is released from rest at the top of a curved-shaped frictionless wedge of mass m2 = 3.00 kg, which sits on a frictionless horizontal surface as in Figure (see attachment). When the block leaves the wedge, its velocity is measured to be v1 = 3.60 m/s to the right, as shown in Figure. (a

Elastic collision of blocks

Two blocks are free to slide along a frictionless wooden track ABC as shown in Figure (see attachment). A block of mass m1 = 4.95 kg is released from A. Protruding from its front end is the north pole of a strong magnet, repelling the north pole of an identical magnet embedded in the back end of the block of mass m2 = 9.00 kg, i

Final Temperature - Iron

Two iron bolts of equal mass -- one at 110.°C, the other at 34°C -- are placed in an insulated container. Assuming the heat capacity of the container is negligible, what is the final temperature inside the container (c of iron = 0.450 J/gK)?

Mechanics: Conservation of energy, falling mass on spring.

7-58. An 80.0kg man jumps from a height of 2.50m onto a platform mounted on springs. As the springs compress, the platform is pushed down a maximum distance of 0.240m below its initial position, and then it rebounds. The platform and springs have negligible mass. A) What is the man's speed at the instant the platform is depresse

Rotational Motion: conservation of angular momentum, energy.

Two astronauts (Fig.), each having a mass of 70.0 kg, are connected by a 11.0 m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 4.70 m/s. (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum. (b) Calculate the rotational energy of the syst

Conservation of energy: motion on vertical circle with force

In her hand a softball pitcher swings a ball of mass 0.251 kg around a vertical circular path of radius 59.5 cm before releasing it from her hand. The pitcher maintains a component of force on the ball of constant magnitude 30.2 N in the direction of motion around the complete path. The speed of the ball at the top of the circle

3 problems related to work done and conservation of energy are solved.

(See attached files for full problem description with units and diagrams --- The figure is the velocity-versus-time graph for a 3.90 object moving along the x-axis. Determine the work done on the object during each of the five intervals AB, BC, CD, DE, and EF. --- Part A Use work and energy to find the speed of the 2.

Conservation of Energy

A metal can containing condensed mushroom soup has mass 220 g, height 11.2 cm and diameter 6.38 cm. It is placed at rest on its side at the top of a 3.00 m long incline that is at 26.0° to the horizontal, and is then released to roll straight down. Assuming mechanical energy conservation, calculate the moment of inertia of the

Physics: Work and energy, linear momentum, and rotational motion

Problem1: A neutron in a nuclear reactor makes an elastic head-on collision with a carbon atom initially at rest. (the mass of the carbon atom is 12 times that of the neutron.) what fraction of the neutron's kinetic energy is transferred to tha carbon atom? (express your answer in percent) Problem2: A 1400kg rocket sled at re

Charged Spheres and Charges on a Line

1) The figure shows 3 pairs of identical spheres that are to be touched together and then separated. The initial charges on them are indicated. Rank the pairs according to (a) the magnitude of the charge transferred during touching and (b) the charge left on the positively charged sphere, greatest first. The picture s

Inelastic coliision momentum

2. [SJ3 8.P.047.] Tarzan, whose mass is 75.0 kg, swings from a 3.00 m vine that is horizontal when he starts. At the bottom of his arc, he picks up 55.0 kg Jane in a perfectly inelastic collision. What is the height of the highest tree limb they can reach on their upward swing?

Relativity and the Law of Conservation of Energy

You (A) are in a sledge sliding down an inclined plane. (Friction is neglected). An observer (B) at the foot of the plane looks at your initial position at the top of the slide and sees your energy as potential energy (mgh). You (A) slide down to the bottom of the plane and have a velocity of V0. So, the observer sees mgh = m

Hydro-electric Power Output and Conservation of Energy

1. A man can throw a stone of mass 0.5kg upwards with a velocity of 10m/s. Using the conservation of energy equation find the maximum height that the stone can reach. 2. A hydroelectric power station has water falling from a reservoir at a height of 100 m above the turbine. If the water flow is 0.25 m3/s and the overall effic

A boxer is struck by an opponent causing him to rotate about a vertical axis.

1) A boxer is struck by an opponent causing him to rotate about a vertical axis with an angular velocity of one revolution per second while his arms are extend horizontally with a 12-kg glove on each hand. He drops his hands to his sides hoping that the increase in angular velocity will cause the next blow to glance off him. If

Conservation of Potential Energy due to Gravity

Two baseballs, each with a mass of 0.122 kg, are separated by a distance of 950 m in outer space. If the balls are released from rest, what speed (in m/s) do they have when their separation has decreased to 370 m? Ignore the gravitational effects from any other objects.

Finding a Spring Constant

Assuming negligible friction, what spring constant would be needed by the spring in a "b-b gun" to fire a 10g pellet to a height of 100m if the spring is initially compressed 10cm?

Conservation of Energy in a Roller Coaster

Suppose the roller coaster in Fig. 8-29 (attached) (h1 = 32 m, h2 = 13 m, h3 = 20) passes point A with a speed of 3.00 m/s. If the average force of friction is equal to one fifth of its weight, with what speed will it reach point B? The distance traveled is 55.0 m.

Conservation of Energy in a Sliding Block

A 2.0 kg block slides along a horizontal surface with a coefficient of friction µk = 0.30. The block has a speed of v = 1.2 m/s when it strikes a massless spring head-on (as in Fig. 8-18). (a) If the spring has a force constant k = 120 N/m, how far is the spring compressed? (b) What minimum value of the coefficient of s

Conservation of Mechanical Energy

A black of mass m=750g is released from rest and slides down a frictionless track of height h=55.2cm. At the bottom of the track the block slides freely along a horizontal table until it hits a spring attached to a heavy, immovable wall. The spring compressed by 2.64cm at the maximum compression. What is the value of the spring

Energy - Speed

A 58 kg skier is coasting down a 25 degree slope. A kinetic frictional force of 70-N opposes her motion. Her initial speed is 3.6 m/s at the top of the slope. Ignoring air resistance, determine her speed at a point located 57m down the slope.