Respuesta :
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.
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