(Solved): (8\%) Problem 7: The restoring force in a Hooke's Law spring is a conservative force, and hence, ...

(8\%) Problem 7: The restoring force in a Hooke's Law spring is a conservative force, and hence, the work done by that force is represented by a potentialenergy function. Consider a spring with spring constant $$k$$. One end of the spring is fixed at the origin of the coordinate system, and the other is attached to an oscillating block with mass $$m$$. The diagram below shows the potential energy function for the spring and the total mechanical energy of the system. $$x_{\mathrm{eq}}=\mathrm{cm}$$ Hints: deduction per hint. Hints remaining: 2 Feedback: deduction per feedback. @ $$25\%$$ Part (b) What is the position, in centimeters, of one of the turning points of the spring-mass system. @ $$25\%$$ Part (c) What is the value, in newtons per meter, of the spring constant? $$?25\%$$ Part (d) What is the maximum speed, in meter per second, of the block if its mass is $$m=470$$ g?