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A block of mass m lies on a horizontal f...

A block of mass `m` lies on a horizontal frictionless surface and is attached to one end of a horizontal spring (with spring constant `k`) whose other end is fixed . The block is intinally at rest at the position where the spring is unstretched `(x=0)`. When a constant horizontal force `vec(F)` in the positive direction of the `x-`axis is applied to it, a plot of the resulting kinetic energy of the block versus its position `x` is shown in figure. What is the magnitude of `vec(F)` ?

A

`2N`

B

`4N`

C

`8N`

D

`16N`

Text Solution

Verified by Experts

The correct Answer is:
C
At equilibrium (Net Force `=0` and velocity is maximum), `F=kx` & `F_(x)-(1)/(2)kx^(2)=DeltaK.E=4` here `x=1m`
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