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⁡(kt)−j^sin⁡(kt)] where A and k are constants. The angle between the force and momentum is

P→=Ai^cos(kt)−j^sin⁡(kt)F→=dP→dt=ddt=A[i^cos⁡(kt)−j^sin⁡(kt)]=Ak[i^sin⁡kt−j^cos⁡(kt)]F→⊥P→

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⁡(kt)−j^sin⁡(kt)] where A and k are constants. The angle between the force and momentum is

P→=Ai^cos(kt)−j^sin⁡(kt)F→=dP→dt=ddt=A[i^cos⁡(kt)−j^sin⁡(kt)]=Ak[i^sin⁡kt−j^cos⁡(kt)]F→⊥P→

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A particle moves in the X – Y plane under the influence of a force such that its linear momentum is $\vec{P} (t) = A [\hat{i} \cos (kt) - \hat{j} \sin (kt)]$ where A and k are constants. The angle between the force and momentum is

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$\vec{P} = A \hat{i} \cos (kt) - \hat{j} \sin (kt)$

$\begin{array}{l} \vec{F} = \frac{d \vec{P}}{dt} = \frac{d}{dt} = A [\hat{i} \cos (kt) - \hat{j} \sin (kt)] \\ = Ak [\hat{i} \sin kt - \hat{j} \cos (kt)] \\ \vec{F} ⊥ \vec{P} \end{array}$

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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⁡(kt)−j^sin⁡(kt)] where A and k are constants. The angle between the force and momentum is

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A particle moves in the X – Y plane under the influence of a force such that its linear momentum is $\vec{P} (t) = A [\hat{i} \cos (kt) - \hat{j} \sin (kt)]$ where A and k are constants. The angle between the force and momentum is