Question

What is potential energy derive an equation of gravitational potential energy of a body of mass m and the height of h?

Answer 1

Let the body be at h height:

∴ height = h

Acceleration = g

Mass of the object = m

Displacement = h

Work done (to get up to height h) = Potential E

∴Potential E = weight * displacement

Pe = mg * h

Pe = mgh

Mark it as the brainliest plzzzz....

Answer 2

Required Explanation:-

✯Potential Energy:- The energy acquired by an object due to change in it's state or position is known as Potential Energy.

✯Derivation:-

• Let's consider a body of mass "m" and it is raised to a height "h" from the ground.
• The minimum force required to raise the body is equals to the weight of the object; viz ; "mg".
• The object gains energy equal to the work done on the body against the gravity will be W. i.e; Work done [W] = Force[mg] × Displacement [h] → w = mgh.
• Hence the work done on the body is equals to mgh, an energy equal to mgh is gained by the body
• Potential Energy is "E"
• $\sf{\star\;E = mgh}$

@MrMonarque!!

$\;$

Hope It Helps You ✌️