Respuesta :
Answer:
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
[tex]p=mv[/tex]where
m = mass
v = velocity
Now in our case, the momentum of the skateboard is
[tex]p_{\text{skateboard}}=1.4\operatorname{kg}\cdot19m/s=26.6\operatorname{kg}\cdot m/s[/tex]Your momentum is
[tex]p_{\text{you}}=52\operatorname{kg}\cdot19m/s=988\operatorname{kg}\cdot m/s\text{.}[/tex]Therefore, the total momentum of you and the skateboard is
[tex]p_{\text{total}}=p_{\text{you}}+p_{\text{skateboard}}=(26.6+988)kg\cdot m/s[/tex][tex]\Rightarrow\boxed{p_{\text{total}}=1014.6\operatorname{kg}\cdot m/s\text{.}}[/tex]The combined mass of the skateboard and you is
[tex]m_{\text{total}}=m_{\text{you}}+m_{\text{skateboard}}=52\operatorname{kg}+1.4\operatorname{kg}[/tex][tex]\Rightarrow\boxed{m_{\text{total}}=53.4\operatorname{kg}\text{.}}[/tex]Hence, to summerise
total momentum = 1014.6 kg * m/s
combined mass = 53.4 kg.
