Answer :
Final answer:
A 20 kg boy would be raised 20 meters above the ground when 196 x 10^2 J of energy is used. The calculation involves using the formula for potential energy and rearranging it to solve for height. The correct answer is option (b) 20 m.
Explanation:
The height the boy would be raised is 20 meters (b).
To calculate this, we use the formula: Potential Energy = Mass x Gravity x Height. Given that Potential Energy = 196 x 10^2 J, and Mass = 20 kg, we can find the height by rearranging the formula to Height = Potential Energy / (Mass x Gravity). Substituting the values, Height = 196 x 10^2 J / (20 kg x 9.8 m/s^2) = 20 meters.