A particle moves in the X- Y plane under the influence of a force such that its linear momentum is P → t = A i ^ cos k t - j ^ sin k t , where A and k are constants. The angle between the force and the momentum is

Question

A particle moves in the X- Y plane under the influence of a force such that its linear momentum is P → t = A i ^ cos k t - j ^ sin k t , where A and k are constants. The angle between the force and the momentum is, 0 0, 30 0, 45 0, 90 0

MARKS App · Accepted Answer

F → = d P → dt = - k A sin k t i ^ - k A cos k t j ^ P → = A cos k t i ^ - A sin k t j ^ Since, F → · P → = 0 ∴ Angle between F → and P → should be 9 0 0

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