# A child's pogo stick (Fig. P5.77)stores energy in a spring (k =2.50 x 10* N/m). At position@ (x = -0.100 m), the springcompression is a maximum andthe child is momentarily at rest.At position ® (x = 0), the springis relaxed and the child is mov-ing upward. At position ©, thechild is again momentarily at restat the top of the jump. Assum-ing that the combined mass ofchild and pogo stick is 25.0 kg,(a) calculate the total energyof the system if both potential energies are zero at x = 0,(b) determine x, (C) calculate the speed of the child at x = 0,(d) determine the value of x for which the kinetic energy ofthe system is a maximum, and (e) obtain the child's maximumupward speed.X1Figure P5.77

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