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A particle moves in the xy-plane under t...

A particle moves in the xy-plane under the action of a force F such that the components of its linear momentum p at any time t and `p_(x)=2cos` t, `p_(y)=2sin` t. the angle between F and p at time t is

A

`theta=0^@`

B

`theta=30^@`

C

`theta=90^@`

D

`theta=180^@`

Text Solution

Verified by Experts

The correct Answer is:
C
`P_x=2cost,P_y=2sinthati+2costhati+2sinthatj`
`vecF=(dvecP)/(dt)-2sinthati+2costhatj`
`vecF.vecP=0becausetheta=90^@`
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