A gymnast of mass 52.0 kg is jumping on a trampoline. She jumps so that her feet reach a maximum height of 2.98 m above the trampoline and, when she lands, her feet stretch the trampoline 65.0 cm down. How far does the trampoline stretch when she stands on it at rest?Assume that the trampoline is described by Hooke's law when it is stretched.

_____cm

Hint: How can you use the energyconservation equation to find the spring constant?

The escape speed from the surface of Planet Zoroaster is 24.0km/s. The planet has no atmosphere. A meteor far away from the planet moves at speed 8.00 km/s on a collision course with Zoroaster. How fast is the meteor going when it hits the surface of the planet?

____km/s

Hint: How can you apply the law of conservation of energy to find the speed of the meteor?