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:
\(\frac{dp}{dt} = \frac{m(v_{2}-v_{1})}{t}\)
⇒ \(\frac{dp}{dt} = \frac{1\times(3-2)}{2}\)
⇒ \(\frac{dp}{dt} = 0.5 N\).