# A 23 kg child is riding a 5.5 kg bike with a velocity of 5.3 m/s to the northwest.What is the total momentum of the child and the bike together? Answer in units of kg x m/s. What is the momentum...

A 23 kg child is riding a 5.5 kg bike with a velocity of 5.3 m/s to the northwest.

What is the total momentum of the child and the bike together? Answer in units of kg x m/s.

What is the momentum of the child? Answer in units of kg x m/s.

What is the momentum of the bike? Answer in units of kg x m/s.

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### 1 Answer

Momentum is equal to mass multiplied by velocity.

Given:

Mass of child = 23 kg

Mass of bike = 5.5 kg

Common Velocity of child and bike = 5.3 m/s to northwest

Therefore: momentum of the child = (Mass of child)*Velocity

= 23*5.3 = 121.9 kg x m/s to northwest

And momentum of the bike = (Mass of bike)*Velocity = 5.5*5.3 = 29.15 kg x m/s to northwest

Momentum of bike and child = (Momentum of child) + (Momentum of bike)

= 121.9 + 29.15 = 151.05 kg x m/s to northwest