Question

# Two objects both of masses $$100 g$$ 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:

A
0.665 m/s
B
225 m/s
C
1.33 m/s
D
0 m/s

Solution

## The correct option is C $$1.33\ m/s$$Given :  $$m_1=m_2 =0.1$$ kgVelocities of objects before collision :     $$u_1 = 2$$ m/s             $$u_2 =1$$ m/sVelocities of objects after collision :     $$v_1 = 1.67$$ m/s             $$v_2 =?$$ Conservation of momentum :      $$P_i = P_f$$$$\therefore$$    $$m_1u_1+m_2u_2=m_1v_1+m_2v_2$$OR      $$0.1(2)+ 0.1(1) = 0.1(1.67)+0.1v_2$$                     $$\implies v_2 = 1.33$$ m/sPhysics

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