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Question

# A force F1 accelerates a particle from rest to a velocity v. Another force F2 decelerates the same particle from v to rest, then

A
|F1| is always equal to |F2|
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B
|F2| is greater than to |F1|
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C
|F2| may be smaller than, greater than or equal to |F1|
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D
|F2| cannot be equal to |F1|
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Solution

## The correct option is C |F2| may be smaller than, greater than or equal to |F1| From Newton's second law Fnet=m(v−ut) Case (i): Let time taken to accelerates a particle from rest to a velocity v is t1 Now u=0,v=v ⇒F1=mvt1 Case (ii):Let time taken to decelerates the same particle from v to rest is t2 Here u=v,v=0 ⇒F2=m(0−v)t2 F2=−mvt2 F1,F2 depends upon t1,t2. So, F2 may be smaller than, greater than or equal to F1.

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