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A particle which is experiencing a force...

A particle which is experiencing a force, given by `vec(F) = 3 vec(i) - 12 vec(j)`, undergoes a displacement of `vec(d) = 4 vec(i)`. If the particle had a kinetic energy of 3 J at the beginning of the displacement

A

9 J

B

10 J

C

15 J

D

12 J

Text Solution

Verified by Experts

The correct Answer is:
C
Work done by a force = Change in kinetic energy `(DeltaK.E.)`
`implies Delta K.E. = vecF cdot vecd = (3 hati - 12 hatj) cdot (4 hati) = 12J " " implies K_(f) = (K_i + 12)J = 15J`.
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