Two objects both of masses $100 g$ are moving along the same line and direction with velocities of $2 m s^{- 1}$ and $1 m s^{- 1}$ , respectively. They collide and after the collision, the first object moves at a velocity of $1.67 m s^{- 1}$ . Determine the velocity of the second object:

0.665 m / s

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225 m / s

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1.33 m / s

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0 m / s

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Solution

The correct option is C $1.33 m / s$
Given : $m_{1} = m_{2} = 0.1$ kg
Velocities of objects before collision : $u_{1} = 2$ m/s $u_{2} = 1$ m/s
Velocities of objects after collision : $v_{1} = 1.67$ m/s $v_{2} = ?$
Conservation of momentum : $P_{i} = P_{f}$
$∴$ $m_{1} u_{1} + m_{2} u_{2} = m_{1} v_{1} + m_{2} v_{2}$
OR $0.1 (2) + 0.1 (1) = 0.1 (1.67) + 0.1 v_{2}$ $⟹ v_{2} = 1.33$ m/s

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Two objects both of masses 100g are moving along the same line and direction with velocities of 2 ms−1 and 1 ms−1, respectively. They collide and after the collision, the first object moves at a velocity of 1.67 ms−1. Determine the velocity of the second object:

The correct option is C 1.33 m/sGiven : m1=m2=0.1 kgVelocities of objects before collision : u1=2 m/s u2=1 m/sVelocities of objects after collision : v1=1.67 m/s v2=? Conservation of momentum : Pi=Pf∴ m1u1+m2u2=m1v1+m2v2OR 0.1(2)+0.1(1)=0.1(1.67)+0.1v2 ⟹v2=1.33 m/s

Two objects both of masses $100 g$ are moving along the same line and direction with velocities of $2 m s^{- 1}$ and $1 m s^{- 1}$ , respectively. They collide and after the collision, the first object moves at a velocity of $1.67 m s^{- 1}$ . Determine the velocity of the second object: