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A child of mass m jumps from a height h with speed v, toward a trampoline locate

ID: 1470478 • Letter: A

Question

A child of mass m jumps from a height h with speed v, toward a trampoline located below the platform. The trampoline can be considered to behave like a spring with spring constant k_s. A short while later the child is momentarily at rest on the trampoline and the trampoline is compressed by an amount s. The energy equation for the system can be written as Delta E_system = W_ext (assuming that the energy transfer due to any temperature differences is negligible). For each of the systems indicated in the first row, circle the appropriate non-zero quantities that belong to the left side (the Delta E_system side) of the energy equation and the right side (the W_ext side) of the energy equation.

Explanation / Answer

The energy equation can be written as

DeltaEsystem =Wext

(1/2)mv2+mgh =(1/2)kss2

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