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The momentum of a particle is given by ...

The momentum of a particle is given by `vecP= (2 sin t hati- 2cos t hatj)kgm//s`. Select the correct option:

A

Momentum `vecp` of the particle is always perpendicular to `vecF`

B

Momentum `vecp` of the particle is always parallel t `vecF`

C

Magnitude of momentum remains constant

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A, C
`vecp =2 sin t hati - 2 cos t hatj`
`vecF = (d vecp)/(dt)= 2 cos t hati + 2 sin that j`
`therefore" "vecF. vecp = 0 rArr vecF botvecp `
Also, `|vecp|= sqrt((2sin t)^(2)+ (2 cos t)^(2) )= 2=` constant.
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