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Questions  

The kinetic energy acquired by a mass m in travelling a certain distance d, starting from rest, under the action of a force F such that the force F is directly proportional to t is

a
Directly proportional to r2
b
Independent of t
c
Directly proportional to t4
d
Directly proportional to t

detailed solution

Correct option is C

f = ktm∫0vdv=k∫0tt dtmv = kt2v=kmt2KE=12mv2=12mk2m2t4=k22mt4KE ∝ t4

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