Question

What is the force to be applied on a body of mass 200g to change its velocity by 25 m/s in 5 seconds?

• A. 5 N
• B. 1 N
• C. 20 N
• D. 25 N

Hint:

Force can also be calculated using the rate of change of momentum (which is \( \text{mass} \times \text{change in velocity} / \text{time} \)).

Answer 1

The Correct Option is B

We are given the following: - Mass of the body \( m = 200 \, \text{g} = 0.2 \, \text{kg} \) - Change in velocity \( \Delta v = 25 \, \text{m/s} \) - Time \( t = 5 \, \text{seconds} \) The force required to change the velocity is given by Newton's second law: \[ F = \frac{m \Delta v}{t} \] Substituting the values: \[ F = \frac{0.2 \times 25}{5} = \frac{5}{5} = 1 \, \text{N} \] 
Thus, the correct force required is \( 1 \, \text{N} \).