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100gm golf ball is moving to right with a velocith of 20 m/s. it makes a head on collision with an 8 kg steel ball initially at rest . compute the velocities of ball after collsion a.-19.5m/s, 0.5 m/s b. 2m/s , 3m/s c. -4.5 m/s , 10m/s

100gm golf ball is moving to right with a velocith of 20 m/s. it makes a head on collision with an 8 kg steel ball initially at rest . compute the velocities of ball after collsion a.-19.5m/s, 0.5 m/s b. 2m/s , 3m/s c. -4.5 m/s , 10m/s

Grade:12th pass

2 Answers

Eshan
askIITians Faculty 2095 Points
3 years ago
Dear student,

Assuming the collision to be elastic, let us suppose that the velcoities of the golf ball and the steel ball, initially and finally in the right direction arev_0, 0, v_1andv_2, respectively.

From conservation of linear momentum,

m_{golf}v_0=m_{golf}v_1+m_{steel}v_2
\implies 0.1v_0=0.1v_1+8v_2

Also from elastic collision,

v_0=v_2-v_1

\implies v_1=\dfrac{-79}{81}v_0
\implies v_2=\dfrac{2}{81}v_0
Khimraj
3007 Points
3 years ago
For elastic collision the relative velocity of balls before collision is equal to relatve velocity after the collision.
So correct answer is (A).

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