Classical Mechanics

Potential Energy

Potential energy due to gravity

         

A crate of mass m=4 kgm=4\text{ kg} slides down a frictionless inclined plane of length d=8 md=8\text{ m} that makes a 3030^\circ angle with the horizontal. What is the crate's change in gravitational potential energy when it reaches the bottom of the inclined plane?

The gravitational acceleration is g=10 m/s2.g=10\text{ m/s}^2.

A 6 kg6\text{ kg} object is dropped from the edge of a 150 m150\text{ m} high cliff. What is its gravitational potential energy (relative to the ground) after 33 seconds?

Ignore any air resistance and assume that gravitational acceleration is g=10 m/s2.g=10\text{ m/s}^2.

A 80 kg80\text{ kg} man stands on the edge of a 5050-meter-high cliff. What is his gravitational potential energy relative to the ground?

The gravitational acceleration is g=10 m/s2.g=10\text{ m/s}^2.

An old English nursery rhyme starts off "Jack and Jill went up the hill to fetch a pail of water". If the hill is 10 m high and Jack weighs 700 N, how much work in Joules did Jack need to do to get to the top of the hill?

An object of mass 3 kg3\text{ kg} is dropped from a height of 102 m.102\text{ m}. After 22 seconds, the object's gravitational potential energy is E1,E_1, and 44 seconds after the drop it is E2.E_2. Find the value of E1+E2.E_1+E_2.

The air resistance is negligible and the gravitational acceleration is g=10 m/s2.g=10\text{ m/s}^2.

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