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Kinetic Energy

If the initia...

Question

If the initial velocity of $m_{1}$ is v $\frac{m}{s}$ and initial velocity of $m_{2}$ is 2 v $\frac{m}{s}$ . After collision $m_{2}$ stops, then what is the final velocity of $m_{1}$ after the collision? If $m_{1}$ = m kg and $m_{2}$ = 2m kg.

10 v m/s

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2 v m/s

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5 v m/s

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Solution

The correct option is C
5 v m/s

Initial velocity of $m_{1}$ = v $\frac{m}{s}$

Initial velocity of $m_{2}$ = 2v $\frac{m}{s}$

mass of $m_{1}$ = m kg

mass of $m_{2}$ = 2m Kg

Initial momentum of the system = mv + 4mv = 5 mv

Final velocity of $m_{1}$ = u $\frac{m}{s}$ (Yet to be found)

Final velocity of $m_{2}$ = 0 $\frac{m}{s}$

Final momentum = (2m $\times$ 0) + (m $\times$ u)

So according to conservation of momentum, mu = 5 mv

u = 5v $\frac{m}{s}$

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If the initial velocity of m1 is v ms and initial velocity of m2 is 2 v ms. After collision m2 stops, then what is the final velocity of m1 after the collision? If m1 = m kg and m2 = 2m kg.

If the initial velocity of $m_{1}$ is v $\frac{m}{s}$ and initial velocity of $m_{2}$ is 2 v $\frac{m}{s}$ . After collision $m_{2}$ stops, then what is the final velocity of $m_{1}$ after the collision? If $m_{1}$ = m kg and $m_{2}$ = 2m kg.