Respuesta :
Answer:
Their velocity afterwards = [tex]3.47\ ms^{-1}[/tex]
Explanation:
Mass of Player 1 = [tex]m_1[/tex]= [tex]91.5\ kg[/tex]
Mass of Player 2 = [tex]m_2[/tex]= [tex]63.5\ kg[/tex]
Velocity of Player 1 moving east =[tex]3.73\ ms^{-1}[/tex]
Velocity of Player 2 moving left =[tex]3.09\ ms^{-1}[/tex]
By law of conservation of momentum:
[tex]m_1v_1+m_2v_2=(m_1+m_2)v[/tex]
Here [tex]v[/tex] represents the velocity of tangled players.
Plugging in values in the equation.
[tex](91.5\times 3.73)+(63.5\times 3.09)=(91.5+63.5)v[/tex]
[tex]341.295+196.215=(155)\times v[/tex]
[tex]537.51=(155)\times v[/tex]
Dividing both sides by 155.
[tex]\frac{537.51}{155}=\frac{(155)\times v}{155}[/tex]
∴ [tex]v=3.467\approx 3.47\ ms^{-1}[/tex]
Their velocity afterwards = [tex]3.47\ ms^{-1}[/tex]
