A student with a mass of 58.1 kg jumps straight up in the air by using...
A student with a mass of 58.1 kg jumps straight up in the air by using her legs to apply an average force of 813 N to the ground for 0.265 s. Assume that the initial momentum of the student and the Earth are zero. (The mass of the Earth is 5.98·1024 kg.)
a) What is the momentum of the student immediately after this
impulse? (Convention: upwards is positive and downwards is
negative.)
b) What is the momentum of the Earth after this impulse?
(Convention: upwards is positive and downwards is negative.)
c) What is the speed of the Earth right after the impulse?
d) What fraction of the total kinetic energy that the student
produces with her legs goes to the Earth?
e) Using conservation of energy, how high does the student
jump?
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