A 55 kg boy running at 2.0 m/s jumps onto a 2.0 kg skateboard. Calculate the final velocity of the boy and the skateboard.

The final velocity of the boy and the skateboard is 1.93 m/s.    

Explanation:

We can find the final velocity of the boy and the skateboard by conservation of linear momentum:

 (1)

Where:

: is the boy's mass = 55 kg

: is the skateboard's mass = 2.0 kg

: is the initial speed of the boy = 2.0 m/s

: is the initial speed of the skateboard = 0

: is the final speed of the boy =?

: is the final speed of the skateboard =?

Since the boy and the skateboard will have the same final velocity by entering the above values into equation (1) we have:

Therefore, the final velocity of the boy and the skateboard is 1.93 m/s.    

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