A 54 kg high jumper has a gravitational potential energy of 1,067 J at the height of his jump. How high did he jump?
A. 1.2 m
B. 2.0 m
C. 3.2 m
D. 4.1 m
To determine the height the high jumper jumped, we can use the formula for gravitational potential energy:
Gravitational Potential Energy = mass * gravity * height
Given that the high jumper's mass is 54 kg and the gravitational potential energy is 1,067 J, and assuming the acceleration due to gravity is 9.8 m/s^2, we can rearrange the formula to solve for the height:
height = Gravitational Potential Energy / (mass * gravity)
Plugging in the values, we have:
height = 1,067 J / (54 kg * 9.8 m/s^2)
height ≈ 1.97 m
Therefore, the high jumper jumped approximately 1.97 meters high.
The correct answer choice is B. 2.0 m.