A child (32 kg) jumps up and down on a trampoline. The trampoline exerts a spring restoring force on the child with a constant of 5000 N/m. At the highest point of the bounce, the child is 1.0 m above the level surface of the trampoline. What is the compression distance of the trampoline? Neglect the bending of the legs or any transfer of energy of the child into the trampoline while jumping.
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- A block of mass 6 kg is given a push so that it moves on a flat surface. After the push, it moves at a speed of 5 m/s. For each question helow, give the answer in SI units -- numerical value only. (a) What is initial kinetic energy? Number J (b) The coefficient of kinetic friction between the block and the surface is .11. What is the magnitude of the net force on the block? Number N (c) What is the magnitude of the acceleration of the block after the push? Number m/s² (d) How far will the block travel before it comes to a stop? Number m (e) What is the net work done on the block in the time period between the initial push and when it came to a stop? Number J (f) What is the change in the kinetic energy of the block from the instant after it was pushed until it came to a stop? Number Remaining Time: JAsap plzzzzzAs a segment of an workout regiment to toughen their pectoral muscles, a man stretches a spring which has a spring constant k=605N/m. a) If x=0 corresponds to when the springs are at their relaxed state, which image best represents the magnitude of the force applied to the springs as a function of the stretch distance (see image). b) Write an equation for the work necessary to stretch the spring from the relaxed state to a distance x1. c) Calculate the work, in joules, required to stretch the spring from its relaxed state to the position x1=59.7cm d) Write an equation for the work necessary to stretch the spring from the position x1 to position x2. e) Calculate the work, in joules, required to stretch the spring from x1=59.7cm to x2=96.8cm.
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