Question

A 1-kg object has a potential energy of 1 J relative to the ground when it is at a height of:

a) 0.102 m
b) 1 m
c) 9.8 m
d) 98 m

Answer 1

The height of the 1-kg object relative to the ground when it has a potential energy of 1 J is 0.102 m.

Step-by-step explanation:

The potential energy of an object at a certain height relative to the ground can be calculated using the formula:

Potential Energy = mass * gravitational acceleration * height.

In this case, the mass is 1 kg and the potential energy is given as 1 J. By rearranging the formula, we can solve for the height: Height = Potential Energy / (mass * gravitational acceleration).

Height = 1 J / (1 kg * 9.8 m/s^2) = 0.102 m.

Therefore, the height of the 1-kg object relative to the ground when it has a potential energy of 1 J is option a) 0.102 m.