A 4.36 × 10−5 kg raindrop falls vertically at constant speed under the influence of gravity and air resistance.
After the drop has fallen 88.1 m, what is
the work done by gravity? The acceleration
of gravity is 9.8 m/s2 .
Answer in units of J
To calculate the work done by gravity, we need to use the formula:
Work = force × distance
In this case, the force is the weight of the raindrop, and the distance is the vertical distance it falls.
The weight of an object is given by the formula:
Weight = mass × acceleration due to gravity
We are given the mass of the raindrop (4.36 × 10^(-5) kg) and the acceleration due to gravity (9.8 m/s^2). Therefore, we can calculate the weight:
Weight = (4.36 × 10^(-5) kg) × (9.8 m/s^2)
Weight = 4.268 × 10^(-4) N
Now, we can calculate the work done by gravity using the weight and the distance:
Work = (4.268 × 10^(-4) N) × (88.1 m)
Work = 3.759 × 10^(-2) J
Therefore, the work done by gravity is approximately 3.759 × 10^(-2) J.