Answered

Martin (56 kg) and his sister (31kg) are rolling skating. when they are stationary, Martin pushes his sister causing her to move away from him at 1.96m/s. calculate martin's velocity.

Answer :

Given

M = 56 kg

m = 31 kg

vm = 1.96m/s

Procedure

The law of momentum conservation can be stated as follows. For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.

[tex]\begin{gathered} m*v_{om}+M*v_{oM}=m*v_{fm}+M*v_{fM} \\ 0=mv_{fm}+Mv_{fM} \\ 0=31*1.96m/s+56*v_{fM} \\ v_{fM}=\frac{-31*1.96m/s}{56} \\ v_{fM}=-1.085m/s \end{gathered}[/tex]

Martin's final velocity is -1.085 m/s

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