Question

When a vehicle moving with kinetic energy \( K \) is stopped in a distance \( d \) by applying a stopping force \( F \), the relation between \( F \) and \( K \) is given by:

• A. \( F = \frac{K}{d} \)
• B. \( F = Kd \)
• C. \( F = \frac{1}{Kd} \)
• D. \( F = \frac{d}{K} \)
• E. \( F = \frac{d}{K^2} \)

Hint:

For stopping problems, equate work done to change in kinetic energy to find the required force.

Answer 1

The Correct Option is A

Step 1: The work done to stop the vehicle is equal to the change in its kinetic energy: \[ W = F \times d = K \] Thus, the stopping force \( F \) is given by: \[ F = \frac{K}{d} \]