Sphere A has mass with and is moving with
velocity v. It makes a head on elastic collision
what a stationary sphere B of mass 2m. After
the collision their speeds (VA and Vs) are
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When the sphere with mass m strikes the mass 2m elastically, momentum and kinetic energy is conserved.
Momentum Conservation:
mv+ 0= m(va)+ 2m(vb).......(a)
=> v= va+ 2vb
squaring both sides, v2= va2+4vb2+4(va×vb).....(1)
Kinetic energy conservation
mv2=mva2+2mvb2
v2=va2+2vb2 .....(2)
subtracting 2 from 1 we get
vb=-2va
substituting in (a) we have
va=-v/3
vb=2v/3
HOPE IT HELPS
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