7. A steel ball A, of mass 20.0 kg moving with a speed of 2.0ms - collides with
another ball B of mass 10.0 kg which is initially at rest. After collision. A moves with
a speed of 1.0ms at an angle of 30° with its original direction of motion. Determine
the final velocity of B.
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Answer:
m1=20kg
u1=2m/s
momentum of m1=20×2=40 kgm/s
m2=10kg
U2=0
momentum of m2=10×0=0
total momentum before collision=m1u1+m2u2
=40+0=40 kgm/s.
m1=20kg
v1=1×√3/2=√3/2.
momentum =20×√3/2=10√3 kgm/s
m2=10kg
V2=x
momentum=10×x=10x kgm/s
from the law of conservation of momentum
total momentum before collision=total momentum after collision.
m1u1+m2u2=m1v1+m2v2.
=40=10√3+10x
=40-10√3=10x
=x=40-10√3×1/10
=2.268m/s.
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