49.8k views
3 votes
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.

User Dotrinh DM
by
4.7k points

1 Answer

2 votes

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.

User James Milani
by
4.5k points