There is a ball of mass 320 g. It has 625 J potential energy when released freely from a height. The speed with which it will hit the ground is

Correct option is A

The correct answer is (a) 62.5 m/s.

Step-by-Step Explanation:

1. Given Information: · Mass of the ball: 320 g = 0.32 kg · Potential energy (PE) = 625 J

2. Conservation of Energy: · The potential energy of the ball at the top is fully converted into kinetic energy as it falls. · Kinetic Energy = (1/2) × Mass × Speed²

3. Equating PE and KE: · 625 J = (1/2) × 0.32 kg × Speed²

4. Solve for Speed: · Multiply both sides by 2 to eliminate the fraction: 1250 = 0.32 × Speed² · Divide by 0.32: Speed² = 1250 ÷ 0.32 = 3906.25 · Take the square root: Speed ≈ 62.5 m/s

Final Answer: The speed with which the ball will hit the ground is 62.5 m/s, so the correct option is (a) 62.5 m/s.