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A particle which is experiencing a force...

A particle which is experiencing a force given by `vecF=3veci-12vecj`, undergoes a displacement of `vecd=4veci`. If the particle had a kinetic energy of 3 J at the beginning of the displacement, what is its kinetic energy (in joule) at the end of the displacement?

A

9J

B

15J

C

10J

D

12J

Text Solution

Verified by Experts

The correct Answer is:
B
Work done by force `= vec(F).vec(S) = (3hat(i)- 12hat(j)).(4hat(i))= 12J`
By work energy theorem, `W_("all")= Delta K`
`12J= K_(f)- K_(i) rArr 12 + K_(i)= K_(f)`
`therefore K_(f)= 12+3= 15J`
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