A particle which is experiencing a force, given by F → = 3 i ^ - 12 j ^ , undergoes a displacement of d → = 4 i ^ . If the particle had a kinetic energy of 3 J at the beginning of the displacement, what is its kinetic energy at the end of the displacement?

Question

A particle which is experiencing a force, given by F → = 3 i ^ - 12 j ^ , undergoes a displacement of d → = 4 i ^ . If the particle had a kinetic energy of 3 J at the beginning of the displacement, what is its kinetic energy at the end of the displacement?, 9 J ., 15 J ., 12 J ., 10 J .

MARKS App · Accepted Answer

Work done by the force, F → . s → = 3 i ^ + 12 j ^ ⋅ 4 i ^ = 12 J By work energy theorem, W total = ∆ K 12 J = K f - K i 12 + K i = K f ∴ K f = 12 + 3 = 15 J

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