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Q.

Two objects of masses 100 g and 200 g are moving along the same line and direction with velocities of 2 m/s and 1 m/s, respectively. They collide and after the collision, the first object moves at a velocity of 1.67 m/s. Determine the velocity of the second object.


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a

1.17 m/s

b

1.5 m/s

c

2 m/s

d

1.3 m/s 

answer is A.

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Detailed Solution

According to the law of conservation of momentum,
m1u1 + m2u2 = m1v1+ m2v2
=> 0.1 x 2 + 0.2 x 1 = 0.1 x 1.67 + 0.2 x v2
=> 0.2 + 0.2 = 0.167 + 0.2 v2
=>  0.2 v2 = 0.4 - 0.167
=> v2 = 1.17 m/s
 
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Two objects of masses 100 g and 200 g are moving along the same line and direction with velocities of 2 m/s and 1 m/s, respectively. They collide and after the collision, the first object moves at a velocity of 1.67 m/s. Determine the velocity of the second object.