2) A spring loaded toy (k = 2.5103 N/m) is compressed Ax centimeters and upon release,...

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2) A spring loaded toy (k = 2.5103 N/m) is compressed Ax centimeters and upon release, a 200 gram car is accelerated through a track course as shown below. At the top of the 150 cm hill, the car comes to rest. Assume that the system has negligible friction. 150 cm P loop- T 2R de-loop a) Based on the information given, compute the original compression of the spring. Briefly EXPLAIN your reasoning. b) At point P, the toy car is momentarily upside down and the track is exerting no force on the tires of the car. Based on this information, show that v = gR at point P using dynamics. Include a free-body diagram of the scenario with your solution. c) Using the result from part b) and the law of conservation of total mechanical energy, what is the value of the radius of the loop-de-loop? Note: the magnitude of the normal force is not always zero at point P. This is a consequence of the design of the problem and the radius not being fixed. If the radius were smaller than the value obtained, then the track would be exerting a normal force on the car as it moved upside down. 2) A spring loaded toy (k = 2.5103 N/m) is compressed Ax centimeters and upon release, a 200 gram car is accelerated through a track course as shown below. At the top of the 150 cm hill, the car comes to rest. Assume that the system has negligible friction. 150 cm P loop- T 2R de-loop a) Based on the information given, compute the original compression of the spring. Briefly EXPLAIN your reasoning. b) At point P, the toy car is momentarily upside down and the track is exerting no force on the tires of the car. Based on this information, show that v = gR at point P using dynamics. Include a free-body diagram of the scenario with your solution. c) Using the result from part b) and the law of conservation of total mechanical energy, what is the value of the radius of the loop-de-loop? Note: the magnitude of the normal force is not always zero at point P. This is a consequence of the design of the problem and the radius not being fixed. If the radius were smaller than the value obtained, then the track would be exerting a normal force on the car as it moved upside down.