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Standard XII

Physics

Collision Examples I

A 2 kg mass m...

Question

A 2 kg mass moving on a smooth frictionless surface with a velocity of $10 m s^{- 1}$ hits another 2 kg mass kept at rest, in an inelastic collision. After collision, if they move together,

they travel with a velocity of

5 m s^{- 1}

in the same direction

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they travel with a velocity of

10 m s^{- 1}

in the same direction

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they travel with a velocity of

10 m s^{- 1}

in the opposite direction

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they travel with a velocity of

5 m s^{- 1}

in the opposite direction

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Solution

The correct option is A they travel with a velocity of $5 m s^{- 1}$ in the same direction
Using momentum conservation for inelastic collision,
$m_{1} u_{1} + m_{2} u_{2} = (m_{1} + m_{2}) v$
$10 = 4 v \Rightarrow v = 5 m / s$ .

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A 2 kg mass moving on a smooth frictionless surface with a velocity of 10ms−1 hits another 2 kg mass kept at rest, in an inelastic collision. After collision, if they move together,

The correct option is A they travel with a velocity of 5ms−1 in the same directionUsing momentum conservation for inelastic collision,m1u1+m2u2=(m1+m2)v10=4v⇒v=5m/s.

A 2 kg mass moving on a smooth frictionless surface with a velocity of $10 m s^{- 1}$ hits another 2 kg mass kept at rest, in an inelastic collision. After collision, if they move together,

The correct option is A they travel with a velocity of $5 m s^{- 1}$ in the same direction
Using momentum conservation for inelastic collision,
$m_{1} u_{1} + m_{2} u_{2} = (m_{1} + m_{2}) v$
$10 = 4 v \Rightarrow v = 5 m / s$ .