Topic 6: Gravitational Potential Energy

Gravitational Potential Energy

Gravitational potential energy is the energy possessed by a body due to its position in the gravitational field of the Earth.

Definition

The gravitational potential energy of a body at a height is equal to the work done against gravity to raise the body to that height.

Formula for Gravitational Potential Energy

For a body of mass m raised to a height h above the ground:

Gravitational Potential Energy (PE) = m g h

SI Unit of Gravitational Potential Energy

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

Factors Affecting Gravitational Potential Energy

  • Mass of the body (m)
  • Height of the body above ground (h)
  • Acceleration due to gravity (g)

Special Cases

  • If height h = 0, potential energy is zero
  • Greater height → greater potential energy
  • Greater mass → greater potential energy

Energy Conversion

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

Examples of Gravitational Potential Energy

  • Water stored in a dam
  • A stone kept on a roof
  • A lifted book on a table
Q1. Gravitational potential energy depends on:
A) Speed
B) Shape
C) Position
D) Temperature

Answer: C


Q2. Formula for gravitational potential energy is:
A) (1/2) m v²
B) F × s
C) m g h
D) G m₁ m₂ / r²

Answer: C


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

Answer: B


Q4. A body of mass 2 kg is lifted to a height of 5 m.
Find its gravitational potential energy (g = 10 m/s²).
A) 20 J
B) 50 J
C) 100 J
D) 200 J

Answer: C


Q5. Gravitational 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) Heat energy
C) Chemical energy
D) Gravitational potential energy

Answer: D


Q7. When a body falls freely, its potential energy:
A) Increases
B) Remains same
C) Decreases
D) Becomes zero instantly

Answer: C


Q8. During free fall, gravitational potential energy is converted into:
A) Heat energy
B) Sound energy
C) Kinetic energy
D) Electrical energy

Answer: C

Chapter 5: Laws of Gravitation

Topic 6: Gravitational Potential Energy – Quick Revision

1. Definition

Energy possessed by a body due to its position in Earth's gravitational field.

2. Formula

PE = m g h

3. SI Unit

Joule (J)

4. Factors Affecting PE

  • Mass
  • Height
  • Gravity

5. Energy Conversion

Gravitational potential energy converts into kinetic energy during free fall.

Exam Focus (MHT-CET)

Numericals are commonly asked using PE = mgh. Always take g = 10 m/s² unless specified.


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