5. A 60kg trampoline artist jumps vertically upward from the top of a platform w

Question

5. A 60kg trampoline artist jumps vertically upward from the top of a platform with a speed of 5.5m/s. A) how fast is he going as he lands on the trampoline, 3 m below ? B) if the trampoline behaves like a spring with spring stiffness constant 5.2x10^4 N/m, how far does he depress it? 5. A 60kg trampoline artist jumps vertically upward from the top of a platform with a speed of 5.5m/s. A) how fast is he going as he lands on the trampoline, 3 m below ? B) if the trampoline behaves like a spring with spring stiffness constant 5.2x10^4 N/m, how far does he depress it? A) how fast is he going as he lands on the trampoline, 3 m below ? B) if the trampoline behaves like a spring with spring stiffness constant 5.2x10^4 N/m, how far does he depress it?

Explanation / Answer

A)   He loses his initial kinetic and potential energy and gains kinetic energy

=> 1/2 * 60 * v2 = 1/2 * 60 * 5.52 + 60 * 9.8 * 3

=>    v = 9.436 m/sec

=>    fast is he going as he lands on the trampoline =   9.436 m/sec

B)    1/2 * 5.2x104 * x2 =   1/2 * 60 * 9.436 * 9.436   + 60 * 9.8 * x

=>    x =   0.33203 m

=>     far does he depress it =   0.33203 m

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