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A 25 kg child runs at a speed of 5.0 m/s and jumps onto a stationary shopping ca

ID: 1732013 • Letter: A

Question

A 25 kg child runs at a speed of 5.0 m/s and jumps onto a stationary shopping cart and holds on for dear life. The cart has mass 12 kg. Assuming the child rides on the cart after the collision, find the speed of the child and shopping cart just after the child jumps on.
Clearly identify any formulas used.    A 25 kg child runs at a speed of 5.0 m/s and jumps onto a stationary shopping cart and holds on for dear life. The cart has mass 12 kg. Assuming the child rides on the cart after the collision, find the speed of the child and shopping cart just after the child jumps on.
Clearly identify any formulas used.   
Clearly identify any formulas used.   

Explanation / Answer

from conservation of momentum,

(25kg)(5m/s) = (25kg+12kg)v

or, v = 3.378 m/s - speed of the cart+child after child jumps.

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