Taking into account the definition of potencial energy, the object's mass is 14.96 kg.
<h3>Potential energy</h3>
Potential energy is the energy that measures the ability of a system to perform work based on its position. In other words, this is the energy that a body has at a certain height above the ground.
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 force of gravity.
Then 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).
<h3>Object's mass</h3>
In this case, you know:
- Ep= 734 J
- m= ?
- g= 9.81 m/s²
- h= 5 m
Replacing in the definition of potential energy:
734 J= m× 9.81 m/s² ×5 m
Solving:
734 J= m× 49.05 m²/s²
m= 734 J÷ 49.05 m²/s²
<u><em>m= 14.96 kg</em></u>
Finally, the object's mass is 14.96 kg.
Learn more about potential energy:
<u>brainly.com/question/15896499</u>
<u>brainly.com/question/14525402</u>
<u>brainly.com/question/24933254</u>
