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Physics problems: conservation laws

Potential energy, kinetic energy

 

Problem 1.

If a 5 tons beam is raised 6 meters, what is it's potential energy? If it is raised another 8 meters in 6 seconds, what is the work done?

Solution

 

Problem 3.

A cat stuck up a tree and has 500 J gravitational potential energy. It then falls. Find the kinetic energy of the cat just before it is caught by the owner. Find the kinetic energy of the cat after it is caught by the owner. Find the wasted energy (after cat is caught by the owner).

Solution

 

Problem 11.

At an amusement park there is a roller coaster ride ("ride of Steel"). After the first drop, riders are moving at the speed of 120 km/h, entering an underground tunnel. Given the fact that the roller coaster was moving at a speed of 4 km/h at the top of the hill, determine the vertical drop that these participants fell through. Neglect friction.

Solution

 

Problem 12.

A man drops a 10 kg rock from the top of a ladder of height 5 m.

What is its speed just before it hits the ground?

What is its Kinetic Energy when it reaches the ground?

Solution

 

Problem 15.

A particle of mass m moving in a circular orbit of radius r has angular momentum j about its center. Calculate kinetic energy in terms of j, m and r.

Solution

 

Problem 16.

A stone was at free fall from a 400 meters building. Before reaching the ground, if the stone was at a height of 360 meters, what is the kinetic energy of the stone at the height? The mass of the stone is 10 kg.

Solution

 

Problem 20.

Two bodies of mass M and 4M are moving with equal kinetic energy. What is the ratio of their linear momenta?

Solution

 

Problem 21.

A moving body weighing 400 N possesses 500 J of kinetic energy.  Calculate the velocity with which the body is moving. 

Solution

 

 

 

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