Question

A raindrop of mass 3.18×10⁻⁵ kg falls vertically at constant speed under the influence of gravity and air resistance. Model the drop as a particle. (a) As it falls 95 m, what is the work done on the raindrop by the gravitational force?

Answer 1

To calculate the work done on the raindrop by the gravitational force, we can use the equation: Work = force x distance. Given the mass of the raindrop and the distance it falls, we can find the work done on the raindrop by multiplying its weight by the distance it falls.

Step-by-step explanation:

To calculate the work done on the raindrop by the gravitational force, we can use the equation:

Work = force x distance

The force on the raindrop is equal to its weight, which can be calculated using the formula:

Weight = mass x acceleration due to gravity

Given that the mass of the raindrop is 3.18×10⁻⁵ kg and the distance it falls is 95 m, we can find the work done on the raindrop by multiplying its weight by the distance it falls:

Work = weight x distance

Work = (mass x acceleration due to gravity) x distance

Substituting the values, we find:

Work = (3.18×10⁻⁵ kg x 9.8 m/s²) x 95 m

Work = 3.09 x 10⁻² J