A 65 kg kangaroo jumps vertically to a height of 1.8 m. Assume that there is...
A 65 kg kangaroo jumps vertically to a height of 1.8 m. Assume that there is very little horizontal motion, and that air resistance is negligible.
a) What is its potential energy at the top of its jump?
b) What must its kinetic energy have been at the beginning of the jump, the moment after its feet left contact with the ground?
c) Based on your answer from (b), what was the kangaroo's initial upward velocity, just after leaving the ground?
d) What will its velocity be just before landing? Explain your reasoning.
e) The kangaroo's legs bend slowly on impact, cushioning its joints from the force of the fall. If the kangaroo's momentum is brought to a stop in 2s, how much vertical net force must have been acting on the kangaroo as it came to a stop? (You can assume its initial velocity is the value calculated for part (d)).
f) Based on your answer to (e), determine the magnitude of the average normal force that the kangaroo experiences from the ground as it comes to a stop.
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A 65 kg kangaroo jumps vertically to a height of 1.8 m. Assume
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