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Conservation of Momentum

the velocity ...

Question

the velocity of combined ball just after they struck together is:

A

- 5 i - 5 j m / s .

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B

10 i - 20 j m / s

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C

- 10 i - 20 j m / s

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D

- 5 i + 10 j m / s

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Solution

The correct option is A $- 5 i - 5 j m / s .$
By law conservation of momentum
along $x$ direction along $y$ direction
$\Rightarrow m u_{1} + m u_{2} = 2 m u$ $m v_{1} + m v_{2} = 2 m v$
$10 i - 20 i = 2 u$ $- 10 j + 0 = 2 v$
$\Rightarrow u = - 5 i m / s$ $v = - 5 j$
Velocity of combined ball,
$\Rightarrow V = - 5 i - 5 j m / s$
Hence, the answer is $- 5 i - 5 j m / s .$

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