A force F acting on a body depends on its displacement s as F∝s1/3 . The power delivered by F will depend on displacement as

F∝s-1/3 ⇒a∝s-1/3 ⇒dvdt∝s-1/3⇒vdvds∝s-1/3⇒∫vdv∝∫s-1/3ds ⇒v∝s1/3⇒P=Fv ⇒P∝s-1/3s1/3⇒P∝s0

A force F acting on a body depends on its displacement s as F∝s1/3 . The power delivered by F will depend on displacement as

F∝s-1/3 ⇒a∝s-1/3 ⇒dvdt∝s-1/3⇒vdvds∝s-1/3⇒∫vdv∝∫s-1/3ds ⇒v∝s1/3⇒P=Fv ⇒P∝s-1/3s1/3⇒P∝s0

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A force F acting on a body depends on its displacement s as $F \propto s^{1 / 3}$ . The power delivered by F will depend on displacement as

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s⁰

s^1/2

s^-5/3

s^2/3

answer is D.

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$F \propto s^{- 1 / 3} \Rightarrow a \propto s^{- 1 / 3} \Rightarrow \frac{dv}{dt} \propto s^{- 1 / 3}$

$\Rightarrow \frac{vdv}{ds} \propto s^{- 1 / 3}$

$\Rightarrow \int vdv \propto \int s^{- 1 / 3} ds \Rightarrow v \propto s^{1 / 3}$

$\Rightarrow P = Fv \Rightarrow P \propto s^{- 1 / 3} s^{1 / 3} \Rightarrow P \propto s^{0}$

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A force F acting on a body depends on its displacement s as F∝s1/3 . The power delivered by F will depend on displacement as

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A force F acting on a body depends on its displacement s as $F \propto s^{1 / 3}$ . The power delivered by F will depend on displacement as