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:
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:
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For stopping problems, equate work done to change in kinetic energy to find the required force.
Updated On: Apr 7, 2026
- \( F = \frac{K}{d} \)
- \( F = Kd \)
- \( F = \frac{1}{Kd} \)
- \( F = \frac{d}{K} \)
- \( F = \frac{d}{K^2} \)
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The Correct Option is A
Solution and Explanation
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:
\[
F = \frac{K}{d}
\]
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