A 23.9 #kg# mass has a #3i-2jm/s# velocity and a 21.3 #kg# mass has a #3i-10jm/s# velocity. What is the magnitude of the total momentum of the two masses?

1 Answer
Feb 15, 2018

Answer:

#"please have a look at the fallowing details."#

Explanation:

#vec P_1=m_1*vec v_1#

#vec P_1=23.9*(3i-2j)=71.7i-47.8j#

#vec P_2=m_2*vec v_2#

#vec P_2=21.3(3i-10j)=63.9i-213j#

#Sigma vec P=vec P_1+vec P_2#

#Sigma vec P=71.7i+63.9i+(-47.8j-213j)#

#Sigma vec P=135.6i-260.8j" total momentum vector"#

#P=sqrt((135.6)^2+(-260.8)^2)" magnitude"#

#P=sqrt(18387.36+68016.64)#

#P=293.95 kg " "*ms^-1#