A box having a mass of 7.3 kg is lifted 0.60 m from ground level to the top of a desk. What is the gravitational potential energy in J of the box on the desktop?

Potential energy is the energy that measures the ability of a system to do work based on its position. In other words, this is the energy that a body located at a certain height above the ground has.

Gravitational potential energy is the energy associated with the gravitational force. This will depend on the relative height of an object to some reference point, the mass, and the strength of gravity.

So for an object with mass m, at height h, the expression applied to the gravitational energy of the object is:

Ep= m×g×h

Where:

Ep is the potential energy in joules (J).
m is the mass in kilograms (kg).
h is the height in meters (m).
g is the acceleration of fall in m/s² (approximately 9.81 m/s²).

Potential energy in this case

In this case, you know:

m= 7.3 kg
g= 9.81 m/s²
h= 0.60 m

Replacing in the definition of potential energy:

Ep= 7.3 kg × 9.81 m/s² × 0.60 m

Solving:

Ep= 42.9678 J

Finally, the potential energy of the box is 42.9678 J.

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