You are on roller blades on top of a small hill. Your potential energy is equal to 1,000.0 joules. Your mass is 60.0 kilograms. What is the height of the hill?
a
170.0 m
b
17.0 m
c
0.17 m
d
1.7 m
d) 1.7 m
The formula for potential energy is PE = mgh, where m is the mass, g is the acceleration due to gravity (9.81 m/s^2), h is the height, and PE is the potential energy. Rearranging the formula, we get h = PE/mg.
Plugging in the given values, h = 1000.0 J / (60.0 kg x 9.81 m/s^2) = 1.7 m. Therefore, the height of the hill is 1.7 meters.