Topic 4: Kinetic Energy – Formula & Numericals

Kinetic Energy

Kinetic energy is the energy possessed by a body due to its motion.

Definition

A moving body is said to possess kinetic energy. If the body is at rest, its kinetic energy is zero.

Formula for Kinetic Energy

Kinetic Energy (KE) = (1/2) × mass × velocity²

KE = (1/2) m v2

SI Unit of Kinetic Energy

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

Factors Affecting Kinetic Energy

  • Mass of the body
  • Velocity of the body

Kinetic energy increases with increase in mass or velocity. It is directly proportional to mass and proportional to the square of velocity.

Special Cases

  • If velocity becomes double, kinetic energy becomes four times
  • If velocity becomes zero, kinetic energy becomes zero

Examples

  • A moving car has kinetic energy
  • A flying bullet has large kinetic energy due to high speed
Q1. Kinetic energy of a body depends on:
A) Mass only
B) Velocity only
C) Mass and velocity
D) Acceleration

Answer: C


Q2. Formula for kinetic energy is:
A) m v
B) m v²
C) (1/2) m v²
D) m g h

Answer: C


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

Answer: B


Q4. If velocity of a body becomes double, its kinetic energy becomes:
A) Double
B) Three times
C) Four times
D) Eight times

Answer: C


Q5. A body of mass 2 kg moves with velocity 3 m/s.
Find its kinetic energy.
A) 3 J
B) 6 J
C) 9 J
D) 18 J

Answer: C


Q6. A body of mass 1 kg is at rest.
Its kinetic energy is:
A) 1 J
B) 0.5 J
C) Zero
D) Maximum

Answer: C


Q7. Which has more kinetic energy?
A) Slow moving heavy truck
B) Fast moving light car
C) Body at rest
D) Stationary object

Answer: B


Q8. Kinetic energy is proportional to:
A) Velocity
B) Square of velocity
C) Square of mass
D) Height

Answer: B

Chapter 3: Work, Energy & Power

Topic 4: Kinetic Energy – Quick Revision

1. Definition

Kinetic energy is the energy possessed by a body due to its motion.

2. Formula

KE = (1/2) m v2

3. SI Unit

Joule (J)

4. Dependence

  • Directly proportional to mass
  • Proportional to square of velocity

5. Important Results

  • Velocity doubled → KE becomes four times
  • At rest → KE = 0

Exam Focus (MHT-CET)

Numericals are frequently asked using KE formula. Watch units and square of velocity carefully.


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