Topic 5: Potential Energy – Formula & Applications

Potential Energy

Potential energy is the energy possessed by a body due to its position or configuration.

Gravitational Potential Energy

The potential energy possessed by a body due to its position above the ground is called gravitational potential energy.

Formula for Potential Energy

Potential Energy (PE) = mass × acceleration due to gravity × height

PE = m g h

SI Unit of Potential Energy

The SI unit of potential energy is joule (J).

Factors Affecting Potential Energy

  • Mass of the body
  • Height of the body above ground
  • Acceleration due to gravity

Special Cases

  • If height is zero, potential energy is zero
  • Greater height → greater potential energy

Examples of Potential Energy

  • A stone kept at a height
  • Water stored in a dam
  • A book placed on a shelf

Conversion of Potential Energy

When a body falls freely from a height, its potential energy gets converted into kinetic energy.

Q1. Potential energy of a body depends on:
A) Speed
B) Shape
C) Position
D) Temperature

Answer: C


Q2. Formula for gravitational potential energy is:
A) m v
B) (1/2) m v²
C) m g h
D) F × s

Answer: C


Q3. SI unit of potential energy is:
A) Newton
B) Joule
C) Watt
D) Pascal

Answer: B


Q4. A body of mass 2 kg is raised to a height of 5 m.
Find its potential energy (g = 10 m/s²).
A) 50 J
B) 100 J
C) 20 J
D) 10 J

Answer: B


Q5. Potential energy becomes zero when:
A) Mass is zero
B) Height is zero
C) Velocity is zero
D) Force is zero

Answer: B


Q6. Water stored in a dam possesses:
A) Kinetic energy
B) Chemical energy
C) Potential energy
D) Heat energy

Answer: C


Q7. When a body falls freely, its potential energy is converted into:
A) Heat energy
B) Sound energy
C) Kinetic energy
D) Electrical energy

Answer: C


Q8. Potential energy is maximum when:
A) Height is maximum
B) Velocity is maximum
C) Mass is maximum
D) Force is maximum

Answer: A

Chapter 3: Work, Energy & Power

Topic 5: Potential Energy – Quick Revision

1. Definition

Potential energy is the energy possessed by a body due to its position or configuration.

2. Formula

PE = m g h

3. SI Unit

Joule (J)

4. Factors Affecting PE

  • Mass
  • Height
  • Gravity

5. Energy Conversion

Potential energy converts into kinetic energy during free fall.

6. Examples

  • Stone at height
  • Water in dam
  • Book on shelf

Exam Focus (MHT-CET)

Numericals are commonly asked using PE = mgh. Use g = 10 m/s² unless stated otherwise.


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