Question

derive the formula of P.E=mgh​

Answer 1

Answer:

The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.

Answer 2

To Prove

• Potential Energy = mgh

Solution

☯ We know that Work done = Potential Energy

• Work done is equal to the product of the Force applied and the displacement of the body

☯ Also Force applied is equal to the product of the mass and the acceleration and here in this case acceleration is in the form of Gravitational force

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✭ According to the Formulas :

→ Work = Force × Displacement

• Work = Potential Energy
• Force = ma
• Displacement = h

→ Potential Energy = mah

• As a = Gravitational Acceleration we can denote it as "g"

→ Potential Energy = mgh

Hence Derived!!