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# Potential Energy

Potential energy lets us do work in the present to change things in the future. If energy is currency, then potential energy is money in the bank.

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

A \(6\text{ kg}\) object is dropped from the edge of a \(150\text{ m}\) high cliff. What is its gravitational potential energy (relative to the ground) after \(3\) seconds?

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

A \(80\text{ kg}\) man stands on the edge of a \(50\)-meter-high cliff. What is his gravitational potential energy relative to the ground?

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

**in Joules** did Jack need to do to get to the top of the hill?

An object of mass \(3\text{ kg}\) is dropped from a height of \(102\text{ m}.\) After \(2\) seconds, the object's gravitational potential energy is \(E_1,\) and \(4\) seconds after the drop it is \(E_2.\) Find the value of \(E_1+E_2.\)

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

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