A new generation of pogo sticks lets a rider bounce more than 2 meters off the ground by using elastic bands to store energy. When the pogo’s plunger hits the ground, the elastic bands stretch as the pogo and rider come to rest. At the low point of the bounce, the stretched bands start to contract, pushing out the plunger and launching the rider into the air. For a total mass of 80kg (rider plus pogo), a stretch of 0.40 m launches a rider 2.0 m above the starting point. Suppose a much smaller rider (total mass of rider plus pogo of 40 kg) mechanically stretched the elastic bands of the pogo by 0.40 m, then got on the pogo and released the bands. How high would this unwise rider go? A. 8.0 m B. 6.0 m C. 4.0 m D. 3.0 m

Step-by-step solution In this problem we have to find the height. Before solving this problem we have take data of given values.it is related previous question but only thing is mass is to be 40 kg Data: Height reached by rider=2 m Stretch of the string=0.40 m Mass of the rider=40 kg Potential energy means energy difference between the energy of an object in the given position and a at the end position where it will come to rest.the energy of an object is because of its position rather than its motion Suppose the rider he has some mass is m, and he is in h position in height. If the acceleration...