A particle is placed at the origin and a force F = kx is acting on it (where k is a positive constant). IF U ( 0 ) = 0 , the graph of U ( x ) versus x will be (where U is the potential energy function)

Question

A particle is placed at the origin and a force F = kx is acting on it (where k is a positive constant). IF U ( 0 ) = 0 , the graph of U ( x ) versus x will be (where U is the potential energy function), , , ,

MARKS App · Accepted Answer

F = - dU dx ⇒ ∫ dU = - ∫ Fdx U 2 - U 1 = - ∫ kxdx ⇒ U = - 1 2 kx 2

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