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Standard IX

Physics

Second Law of Motion

Ball A of m...

Question

Ball $A$ of mass $5.0 k i l o g r a m s$ moving at $20 m / s$ collides with ball $B$ of unknown mass moving at $10 m / s$ in the same direction, After the collision, ball $A$ moves at $10 m / s$ and ball $B$ at $15 m / s$ in the same direction. What is the mass of ball $B$ ?

6.0 k g

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10. k g

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2.0 k g

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12 k g

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Solution

The correct option is B $10. k g$
Let mass of ball B is $m_{B}$ . There is no external force acting so linear momentum will be conserved.
Linear momentum before the collision= Linear momentum after collision
$\Rightarrow 5 \times 20 + m_{B} \times 10 = 5 \times 10 + m_{B} \times 15$
$\Rightarrow m_{B} = 10.0 k g$

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Ball A of mass 5.0 kilograms moving at 20 m/s collides with ball B of unknown mass moving at 10m/s in the same direction, After the collision, ball A moves at 10 m/s and ball B at 15 m/s in the same direction. What is the mass of ball B?

The correct option is B 10. kgLet mass of ball B is mB. There is no external force acting so linear momentum will be conserved. Linear momentum before the collision= Linear momentum after collision⇒5×20+mB×10=5×10+mB×15⇒mB=10.0kg

Ball $A$ of mass $5.0 k i l o g r a m s$ moving at $20 m / s$ collides with ball $B$ of unknown mass moving at $10 m / s$ in the same direction, After the collision, ball $A$ moves at $10 m / s$ and ball $B$ at $15 m / s$ in the same direction. What is the mass of ball $B$ ?