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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(vut)
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(0v)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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