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Standard XII

Physics

Non Contact Collision

Two balls of ...

Question

Two balls of masses $1 kg$ and $2 kg$ moves towards each other. If they come to rest after colliding, then what was the speed of $1 kg$ ball before collision?

Speed of the $2 kg$ ball before collision was $8 m/s$ .

4 m/s

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16 m/s

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8 m/s

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20 m/s

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Solution

The correct option is B $16 m/s$
As there is no external forces acting on the system of two balls, on applying Law of Conservation of Linear Momentum, we get,

$m_{1} u_{1} + m_{2} u_{2} = m_{1} v_{1} + m_{2} v_{2}$

$\Rightarrow 1 \times u_{1} + 2 \times (- 8) = 1 \times 0 + 2 \times 0$

$\Rightarrow u_{1} = 16 m/s$

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Two balls of masses 1 kg and 2 kg moves towards each other. If they come to rest after colliding, then what was the speed of 1 kg ball before collision? Speed of the 2 kg ball before collision was 8 m/s.

The correct option is B 16 m/sAs there is no external forces acting on the system of two balls, on applying Law of Conservation of Linear Momentum, we get, m1u1+m2u2=m1v1+m2v2 ⇒1×u1+2×(−8)=1×0+2×0 ⇒u1=16 m/s

Two balls of masses $1 kg$ and $2 kg$ moves towards each other. If they come to rest after colliding, then what was the speed of $1 kg$ ball before collision?

Speed of the $2 kg$ ball before collision was $8 m/s$ .