A 1-N weight has a PE relative to the ground of 1 J when it is at a height of
A) 10.2 cm.
B) 1 m.
C) 9.8 m.
D) 98 m.

Question

Quizplus · Accepted Answer

The potential energy of an object with mass m at a height h is given by PE = mgh, where g is the acceleration due to gravity (9.8 m/s^2 near the surface of the Earth). Solving for h, we get h = PE/(mg). Substituting the given values, we get h = 1 J/(1 N * 9.8 m/s^2) = 0.102 m or 10.2 cm for choice A, 1 m for choice B, 9.8 m for choice C, and 98 m for choice D. Only choice B matches the given answer.

A 1-N Weight Has a PE Relative to the Ground