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A body of mass 1 kg undergoes a change in velocity from 2 m/s to 3 m/s in 2 seconds, when a force is applied to it. The rate of change of linear momentum will be?
1. 0.05 N
2. 0.05 kg/s
3. 0.5 N
4. 5 N

1 Answer

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Best answer
Correct Answer - Option 3 : 0.5 N

The correct answer is option 3) i.e. 0.5 N.

CONCEPT:

  • Linear momentum(p): It is the product of mass(m) and velocity(v) of an object i.e.

p = m × v

EXPLANATION:

  • When the velocity of a body changes, the linear momentum also changes.
  • The rate of change of linear momentum is proportional to the applied force (Newton's second law of motion).
  • Hence, the rate of change of linear momentum is given as:

\(\frac{dp}{dt} = \frac{m(v_{2}-v_{1})}{t}\)

⇒ \(\frac{dp}{dt} = \frac{1\times(3-2)}{2}\)

⇒ \(\frac{dp}{dt} = 0.5 N\)

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