Question

solution use conservation of mechanical energy. the only nonzero terms are the initial gravitational potential energy and the final spring potential energy. substitute the given quantities and rearrange the equation into standard quadratic form. solve with the quadratic formula. learn more remarks the other solution, d = -0.437 m, can be rejected because d was chosen to be a positive number at the outset. a change in the acrobats center of mass, say, by crouching as she makes contact with the springboard, also affects the springs compression, but that effect was neglected. shock absorbers often involve springs, and this example illustrates how they work. the spring action of a shock absorber turns a dangerous jolt into a smooth deceleration, as excess kinetic energy is converted to spring potential energy. question is it possible for the acrobat to rebound to a height greater than her initial height? explain. (select all that apply.) no. the kinetic energy that the acrobat gains on the way down is converted entirely back into potential energy when she reaches the initial height. yes. elastic energy is always present in the spring and can give the acrobat greater height than initially. yes. the acrobat can bend her knees while falling and then straighten them as if jumping when bouncing upward again. yes. the acrobat can provide mechanical energy by pushing herself up while in contact with the springboard. no. there is no external source of energy to provide the potential energy at a greater height.

Explanation:

1. Elastic energy in the spring can contribute extra energy for a higher rebound.
2. The acrobat can use her body - bending knees while falling and straightening while bouncing up to gain more height.
3. The acrobat can also push herself up while in contact with the springboard to provide additional mechanical energy.

Answer:

B. Yes. Elastic energy is always present in the spring and can give the acrobat greater height than initially.
C. Yes. The acrobat can bend her knees while falling and then straighten them as if jumping when bouncing upward again.
D. Yes. The acrobat can provide mechanical energy by pushing herself up while in contact with the springboard.