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A certain spring is found not to obey Hooke's law; it exerts a restoring force Fx(x)=−αx−βx2Fx(x)=−αx−βx2 if it is stretched or compressed, where α=60.0N/mα=60.0N/m and β=18.0N/m2β=18.0N/m2. The mass of the spring is negligible.
A. Calculate the potential energy function
U(x) for this spring. Let U=0 when x=0.
Express your answer in terms of x.
B. An object with mass
0.900kg on a frictionless, horizontal surface is attached to this spring, pulled a distance 1.00m to the right (the + x - direction) to stretch the spring, and released. What is the speed of the object when it is 0.50m to the right of the x=0 equilibrium position?
Answers: 3
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A certain spring is found not to obey Hooke's law; it exerts a restoring force Fx(x)=−αx−βx2Fx(x)=−α...
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