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Home » A ball of mass m, moving with a speed 2v0 collides inelastically with an identical ball at rest. Show that a) for a head-on collision, both the balls move forward b) for a general collision, the angle between the two velocities of scattered balls is less than 90o.
A ball of mass m, moving with a speed 2v0 collides inelastically with an identical ball at rest. Show that a) for a head-on collision, both the balls move forward b) for a general collision, the angle between the two velocities of scattered balls is less than 90o.
CBSE | Class 11 | ncert exemplar | Physics | Work, Energy and Power
A ball of mass m, moving with a speed 2v0 collides inelastically with an identical ball at rest. Show that a) for a head-on collision, both the balls move forward b) for a general collision, the angle between the two velocities of scattered balls is less than 90o.

a) Let v1 and v2 be the velocities of the two balls after the collision. According to the law of conservation of momentum,

mv0 = mv1 + mv2

v2 = v1 + 2ev0

e < 1

b)

Using the law of conservation of momentum,

p = p1 + p2

When the angle between the p1 and p2 is 90o, p > p1 + p2

i

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