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------------------------------------------------ If \( 196 \times 10^2 \) J of energy is used to raise a 20 kg boy above the ground, how high would he be raised?

A. 10 m
B. 20 m
C. 30 m
D. 40 m

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.

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