High School

What is the mass of a rock positioned 2 meters above the ground that has 196 J of potential energy?

A) 0.05 kg
B) 9.8 kg
C) 19.6 kg
D) None of these

Answer :

Final answer:

The mass of a rock positioned 2 meters above the ground with 196 J of potential energy cannot be determined from the given options as the result by calculation is 10 kg, which is not amongst the choices, indicating the correct answer is D) None of these.

Explanation:

The mass of a rock positioned 2 meters above the ground with a potential energy of 196 J can be determined using the formula for gravitational potential energy, which is PE = mgh, where PE is potential energy, m is mass, g is the acceleration due to gravity (9.8 m/s2), and h is height. Rearranging the formula to solve for mass, we get m = PE / (gh).

Substituting the given values, we have m = 196 J / (9.8 m/s2 x 2 m) = 10 kg. However, this result is not listed in the multiple-choice options provided, so the correct answer would be D) None of these.