The force exerted by a stretched chord at given displacements is shown in the table given below. Experimentally, the force is found to vary proportionally to the square of the displacement, i.e. F(x)=−hx2 where h is some constant.If the potential energy at x=0 m is U0=0 J, determine the potential energy at x=1.5 m.

The force exerted by a stretched chord at given displacements is shown

1.	The force exerted by a stretched chord at given displacements is shown in the table given below. Experimentally, the force is found to vary proportionally to the square of the displacement, i.e. F(x)=−hx2 where h is some constant.If the potential energy at x=0 m is U0=0 J, determine the potential energy at x=1.5 m.
Answer» The force exerted by a stretched chord at given displacements is shown in the table given below. Experimentally, the force is found to vary proportionally to the square of the displacement, i.e. $F (x) = - h x^{2}$ where $h$ is some constant. If the potential energy at $x = 0 m$ is $U_{0} = 0 J$ , determine the potential energy at $x = 1.5 m$ .

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