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A block of mass 0.5 kg is pushed against a horizontal spring of negligible mass, compressing the spring a distance of Ax as shown in the figure. The spring constant is 664 N/m. When released, the block travels along a frictionless, horizontal surface to point B, the bottom of a vertical circular track of radius 0.5 m, and continues to move up the track. The speed of the block at the bottom of the track is 16 m/s, and the block experiences an average frictional force of 6 N while sliding up the track. The acceleration of gravity is 9.8 m/s^2. a) What is Ax? Answer in units of m. b) What is the speed of the block at the top of the track? Answer in units of m/s. c) What is the centripetal acceleration of the block at the top of the track? Answer in units of m/s^2

A block of mass 0.5 kg is pushed against a horizontal spring of negligible mass, compressing the spring a distance of Ax as shown in the figure. The spring constant is 664 N/m. When released, the block travels along a frictionless, horizontal surface to point B, the bottom of a vertical circular track of radius 0.5 m, and continues to move up the track. The speed of the block at the bottom of the track is 16 m/s, and the block experiences an average frictional force of 6 N while sliding up the track. The acceleration of gravity is 9.8 m/s^2. a) What is Ax? Answer in units of m. b) What is the speed of the block at the top of the track? Answer in units of m/s. c) What is the centripetal acceleration of the block at the top of the track? Answer in units of m/s^2

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A block of mass 0.5 kg is pushed against a horizontal spring of negligible mass, compressing the spring a distance of Ax as shown in the figure. The spring constant is 664 N/m. When released, the block travels along a frictionless, horizontal surface to point B, the bottom of a vertical circular track of radius 0.5 m, and continues to move up the track. The speed of the block at the bottom of the track is 16 m/s, and the block experiences an average frictional force of 6 N while sliding up the track. The acceleration of gravity is 9.8 m/s^2. a) What is Ax? Answer in units of m. b) What is the speed of the block at the top of the track? Answer in units of m/s. c) What is the centripetal acceleration of the block at the top of the track? Answer in units of m/s^2
Transcribed Image Text:A block of mass 0.5 kg is pushed against a horizontal spring of negligible mass, compressing the spring a distance of Ax as shown in the figure. The spring constant is 664 N/m. When released, the block travels along a frictionless, horizontal surface to point B, the bottom of a vertical circular track of radius 0.5 m, and continues to move up the track. The speed of the block at the bottom of the track is 16 m/s, and the block experiences an average frictional force of 6 N while sliding up the track. The acceleration of gravity is 9.8 m/s^2. a) What is Ax? Answer in units of m. b) What is the speed of the block at the top of the track? Answer in units of m/s. c) What is the centripetal acceleration of the block at the top of the track? Answer in units of m/s^2
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