The momentum of an object of mass 'm' moving with a velocity 'v' is given by:

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NTPC CBT-I (Held On: 7 Jan 2021 Shift 2)
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  1. mv2
  2. mv
  3. (mv)2

Answer (Detailed Solution Below)

Option 3 : mv
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RRB NTPC CBT-I Official Paper (Held On: 4 Jan 2021 Shift 1)
100 Qs. 100 Marks 90 Mins

Detailed Solution

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The correct answer is mv.

Key Points

  • Momentum:
    • The momentum, p of an object is defined as the product of its mass, m, and velocity, V.
    • Momentum = Mass x Velocity
    • That is, p = mv. Hence, Option 3 is correct.
    • Momentum has both direction and magnitude. Its direction is the same as that of velocity, V.
    • The SI unit of momentum is a kilogram-meter per second (kg.m.s-1 ).
    • Newton’s second law of motion states that the time rate of change of momentum is equal to the force acting on the particle.

Important Points

  • Conservation of momentum
    • It is the general law of physics according to which the quantity called momentum that characterizes motion never changes in an isolated collection of objects; that is, the total momentum of a system remains constant.
    • We can use conservation of momentum to find the change in momentum and using the impulse-momentum equation, we find the force that the block applies to the bullet.
    • Some examples of the law of conversation of momentum:
      • Air-filled balloons
      • System of gun
      • bullet Motion of rockets

Additional Information

  • The kinetic energy of an object is the energy that it possesses due to its motion.
  • It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. 
  • Kinetic energy = 1/2 mv2
  • The SI unit of kinetic energy is Joule or kg.m2.s -2

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