Understanding the Concepts

* Work: Work is done when a force causes a displacement. In this case, gravity is the force, and the displacement is the ball's vertical movement.

* Gravity: The force of gravity pulls objects towards the center of the Earth. We can calculate the force of gravity on an object using the equation: F = mg, where:

* F is the force of gravity (in Newtons)

* m is the mass of the object (in kilograms)

* g is the acceleration due to gravity (approximately 9.8 m/s²)

Calculations

1. Calculate the force of gravity:

F = mg = (0.25 kg)(9.8 m/s²) = 2.45 N

2. Calculate the work done:

Work (W) = Force (F) × Distance (d)

W = 2.45 N × 10 m = 24.5 Joules (J)

Answer: The work done by gravity during the ball's vertical displacement is 24.5 Joules.