A body moving with velocity V can be stopped by a force F in direction of it. The same body moving with velocity 5 V can be stopped by a force 5F in distance equal to:
Correct answer: B. 5X
- A. X
- B. 5X
- C. 10X
- D. X/2
Explanation
Workdone or energy= F x d Also, Energy=½ mv² So equating them together: F x d= ½ mv² d= mv²/ 2F Since m and ½ are constant d ∝ v²/F d=v²/F When velocity 5v and force 5F then d: d'=(5v)²/(5F) d'=25v²/5F= 5v²/F Comparing these two: d'=5d
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