A 17 kg box sitting on a shelf has a potential energy of 350 J. How high is the shelf?
PE = mgh
So, 17*9.81*h = 350
h = 2.09 m
The shelf is 2m high
To determine the height of the shelf, we can use the equation for gravitational potential energy:
Potential Energy = mass * gravitational acceleration * height
Given:
Mass (m) = 17 kg
Potential Energy (PE) = 350 J
Gravitational acceleration (g) = 9.8 m/s^2
Rearranging the formula, we have:
PE = m * g * h
Substituting the known values:
350 J = 17 kg * 9.8 m/s^2 * h
Solving for the height (h):
h = 350 J / (17 kg * 9.8 m/s^2)
h ≈ 2.07 meters
Therefore, the shelf is approximately 2.07 meters high.