two objects of masses 100g and 200g are moving along the same line and direction with velocity of 2ms^-1 and 1ms^-1, respectively. they collide and after the collision , the first object moves at a velocity of 1.67ms^-1. determine the velocity of the second object.
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Given:-
Mass of the first body(m1)=100g
=>100/1000
=>0.1kg
Mass of the second body(m2)=200g
=>200/1000
=>0.2kg
Initial velocity of the first body(u1)=2m/s
Initial velocity of the second body(u2)=1m/s
Final velocity of the first body(v1)=1.67m/s
To find:-
Final velocity of the second body(v2)
Solution:-
According to law conservation of momentum,we get----
=>m1u1+m2u2=m1v1+m2v2
=> 0.1×2+0.2×1=0.1×1.67+0.2v2
=>0.4=0.167+0.2v2
=>0.233=0.2v2
=>v2=0.233/0.2
=>v2=1.165
Thus,velocity of the second body after collision is 1.165m/s.
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