1/ (20 pts) To stretch a spring 3.00 cm from its unstretched length, 12.0 J of work must be done.
(a) What is the force constant of this spring?
(b) What magnitude force is needed to stretch the spring 3.00 cm from its unstretched length?
(c) How much work must be done to compress this spring 4.00 cm from its unstretched length and what force is needed to stretch it this distance?
2/ (20 pts) A particle with mass m is acted on by a conservative force and moves along a path given by x = Acost and y = Bsint, where A, and B are constants.
(a) Find the components of the force that acts on the particle.
(b) Find the potential energy of the particle as a function of x and y. Take U = 0 when x = 0 and y = 0.
(c) Find the total energy of the particle when x = A.
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