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5. Your riding a skateboard that is 1.4 kg and goingnortheast with a velocity of 19 m/s. You weigh about 52kg. What is the total momentum of you and theskateboard.What is the mass of the the skateboard.Find the combined mass.Find the velocity of you and the skateboard.

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Answer:

Step-by-step explanation:

Here is the information we have.

Skateboard: 1.4 kg, velocity = 19 m /s

You: weight: 52 kg, veclocity = 19m/s (since you are riding the skateboard)

Now the momentum of an object is given by


p=mv

where

m = mass

v = velocity

Now in our case, the momentum of the skateboard is


p_{\text{skateboard}}=1.4\operatorname{kg}\cdot19m/s=26.6\operatorname{kg}\cdot m/s

Your momentum is


p_{\text{you}}=52\operatorname{kg}\cdot19m/s=988\operatorname{kg}\cdot m/s\text{.}

Therefore, the total momentum of you and the skateboard is


p_{\text{total}}=p_{\text{you}}+p_{\text{skateboard}}=(26.6+988)kg\cdot m/s
\Rightarrow\boxed{p_{\text{total}}=1014.6\operatorname{kg}\cdot m/s\text{.}}

The combined mass of the skateboard and you is


m_{\text{total}}=m_{\text{you}}+m_{\text{skateboard}}=52\operatorname{kg}+1.4\operatorname{kg}
\Rightarrow\boxed{m_{\text{total}}=53.4\operatorname{kg}\text{.}}

Hence, to summerise

total momentum = 1014.6 kg * m/s

combined mass = 53.4 kg.

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User James Milani
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