Gymnast of mass 51.00 kg is jumping on a trampoline. she jumps so that her feet reach a maximum height of 2.100 m above the trampoline and, when she lands, her feet stretch the trampoline down 61.00 cm. how far does the trampoline stretch when she stands on it at rest? [hint: assume the trampoline obeys hooke's law when it is stretched.]

The displacement is 0.1452 m.

Explanation:

Given that,

Mass of gymnast = 51.00 kg

Maximum height = 2.100 m

Minimum displacement = 61.00 cm

We need to calculate the displacement

Using restoring force

....(I)

Now using gravitational potential energy

Put the value of k in equation (I)

Put the value into the formula

Hence, The displacement is 0.1452 m.

increases it