Conservation of Energy test questions

1

What is the kinetic energy of a \(5 kg\) mass travelling at \(5 m\,s^{-1}\)?

2

What is the mass of a body with \(125 J \)of \({E_K}\) travelling at \(10 m\,s^{-1}\)?

3

What is the gain in potential energy of a \(200 kg\) mass, \(1.5 m\) above the ground?

4

At what height is a \(20 kg\) mass when it has gained \(588 J\) of \(E_{p}\) on Earth?

5

Assuming no energy losses, how much kinetic energy does a \(5 kg\) mass have when dropped from a \(10 m\) high building?

6

What is the speed of a \(5 kg\) mass on reaching the ground when dropped from a \(10m\) high building?

7

If a \(0.5 kg\) body is propelled directly upwards at \(50 m\,s^{-1}\), what height will it reach?