You set up a frictionless track like the one shown above, where a block (m =...

  

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You set up a frictionless track like the one shown above, where a block (m = 40 kg) is released from a spring (k = 1000 N/m) and sent through a circular loop of radius r = 20 m. Your goal is to determine the smallest amoun- of initial spring compression needed for the block to make it all the way around the loop without falling. a) Draw a free-body diagram for the block at the top of the track. b) Based on this diagram, what does it mean for the block to just barely make it around the track? c) What is the kinetic energy of the block at the top of the track? r = 20 m d) What is the potential energy of the block at the top of the track? e) What is the minimum spring compression needed for the block to make it all the way around the loop? You set up a frictionless track like the one shown above, where a block (m = 40 kg) is released from a spring (k = 1000 N/m) and sent through a circular loop of radius r = 20 m. Your goal is to determine the smallest amoun- of initial spring compression needed for the block to make it all the way around the loop without falling. a) Draw a free-body diagram for the block at the top of the track. b) Based on this diagram, what does it mean for the block to just barely make it around the track? c) What is the kinetic energy of the block at the top of the track? r = 20 m d) What is the potential energy of the block at the top of the track? e) What is the minimum spring compression needed for the block to make it all the way around the loop?