A raindrop of radius \(2~\text{mm}\) falls from a height of \(500~\text{m}\) above the ground. It falls with decreasing acceleration (due to viscous resistance of the air) until, at half its original height, it attains its maximum (terminal) speed, and moves with uniform speed thereafter. What is the work done by the gravitational force on the drop in the first and second half of its journey?

A person trying to lose weight (dieter) lifts a \(10~\text{kg}\) mass, one thousand times, to a height of \(0.5~\text m\) each time. Assume that the potential energy lost each time she lowers the mass is dissipated. How much work does she do against the gravitational force?
1. \(29,000~\text J\)
2. \(49,000~\text J\)
3. \(21,000~\text J\)
4. \(18,000~\text J\)

A bolt of mass \(0.3~\text{kg}\) falls from the ceiling of an elevator moving down at a uniform speed of \(7~\text{m/s}.\) It hits the floor of the elevator (length of the elevator = \(3\text{ m}\)) and does not rebound. What is the heat produced by the impact?

1.  \(8.82~\text{J}\)

2.  \(7.65~\text{J}\)

3.  \(7.01~\text{J}\)

4.  \(7.98~\text{J}\)