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Question

Two balls having masses m1=5 kg and m2=10 kg moving with velocities u1=10 m/s and u2=5 m/s collide elastically. Find the change in momentum of the ball having mass m1 due to collision


A
110 kgm/s
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B
90 kgm/s
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C
100 kgm/s
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D
50 kgm/s
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Solution

The correct option is C 100 kgm/s
Let final velocity of ball having mass m1 is v1 and final velocity of ball having mass m2 is v2.


Given, m1=5 kg, m2=10 kg
u1=10 kg, u2=5 m/s
As we know,
u1u2=v2v1
15=v2v1
v2=15+v1(1)
By using conservation of momentum
m1u1+m2u2=m1v1+m2v2
(5×10)+(5×(10))=(5×v1)+(10×v2)
0=(5×v1)+(10×v2)
By using eq (1) in above equation we get,
(5×v1)=(10×(15+v1))
30=3v1
v1=10 m/s
We know change in momentumΔp=mΔv =m(vfvi) =m1(v1u1) =5(1010) kgm/s =100 kgm/s

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