It is well known that a rain drop falls under the influence of the downward gravitational force and the opposing resistive force. The latter is known to be proportional to the speed of the drop, but is otherwise undetermined. Consider a drop of mass 1.0g falling from a height of 1.00km. It hits the ground with a speed of `50.0ms^(-1)` (a) What is the work done by the gravitational force ? (b) What is the work done by the unknown resistive force ?

Explanation

To solve the problem step by step, we will calculate the work done by the gravitational force and the work done by the unknown resistive force acting on the raindrop.

### Given Data:
- Mass of the raindrop, \( m = 1.0 \, \text{g} = 1.0 \times 10^{-3} \, \text{kg} \)
- Height from which it falls, \( h = 1.00 \, \text{km} = 1000 \, \text{m} \)
- Final speed of the raindrop, \( v = 50.0 \, \text{m/s} \)
- Acceleration due to gravity, \( g = 10 \, \text{m/s}^2 \)

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