A particle moves in plane under the influence of a force such that its linear momentum is If is constant, the angle between and will be

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Solution

Q.
A particle moves in $x - y$ plane under the influence of a force $\vec{F}$ such that its linear momentum is $\vec{p} (t) = \hat{i} \cos (k t) - \hat{j} \sin (k t) .$ If $k$ is constant, the angle between $\vec{F}$ and $\vec{p}$ will be [2024]

1 $\frac{π}{2}$

2 $\frac{π}{4}$

3 $\frac{π}{3}$

4 $\frac{π}{6}$

Ans.
(1)

$\frac{π}{2}$

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