A particle is acted by a force F = kx , where k is a + ve constant. Its potential energy at x = 0 is zero. Which curve correctly represents the variation of potential energy of the block with respect

Question

A particle is acted by a force F = kx , where k is a + ve constant. Its potential energy at x = 0 is zero. Which curve correctly represents the variation of potential energy of the block with respect to x

TestHub · Accepted Answer

We know that Δ U = − W Therefore ​ Δ U = − ∫ 0 x ​ Fdx or Δ U = − ∫ 0 x ​ kxdx ⇒ U ( x ) ​ − U ( 0 ) ​ = − 2 kx 2 ​ given U ( 0 ) ​ = 0 , U ( x ) ​ = − 2 kx 2 ​ ​

Physics - W.E.P. Question with Solution | TestHub

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