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$$ other end is fixed. The block is initially at rest at the position where the spring is unstretched $$(x$$ $$=$$ $$0). When a constant horizontal force 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 F→ ?

Question

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$$ other end is fixed. The block is initially at rest at the position where the spring is unstretched $$(x$$ $$=$$ $$0). When a constant horizontal force 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 F→ ?

Infinity Learn · Accepted Answer

At equilibrium, r $$=$$ $$1mF=$$$$kx$$ and Fx−$$12kx2=$$Δ$$KE$$$$=4$$⇒$$F=8N$$

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