Question

Allie's mom has a beautiful glass vase, which sits on the mantle of the fireplace at a height of 1.2 m above the floor. If the mass of the vase is 2.8 kg, what is its gravitational potential energy?


Please be an actual answer.

Answer 1

Considering the definition of potential energy, the gravitational potential energy is 32.9616 J.

Definition of potential energy

Potential energy is the energy that measures the ability of a system to do work based on its position.

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.

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).

Gravitational potential energy in this case

In this case, you know:

• Ep= ?
• m= 2.8 kg
• h= 1.2 m
• g= 9.81 m/s²

Replacing in the definition of gravitational potential energy:

Ep= 2.8 kg× 9.81 m/s²× 1.2 m

Solving:

Ep= 32.9616 J

Finally, the gravitational potential energy is 32.9616 J.

Learn more about gravitational potential energy:

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