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Two Billiard Balls, Each of Mass 0.05 Kg, Moving in Opposite Directions with Speed 6 Ms-1collide and Rebound with the Same Speed. What is the Impulse Imparted to Each Ball Due to the Other - Physics

Two billiard balls, each of mass 0.05 kg, moving in opposite directions with speed 6 ms-1collide and rebound with the same speed. What is the impulse imparted to each ball due to the other?

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Solution 1

Initial momentum of each ball before collision

= 0.05 x 6 kg ms-1 = 0.3 kg ms-1

Final momentum of each ball after collision

= – 0.05 x 6 kg ms-1 = – 0.3 kg ms-1 Impulse imparted to each ball due to the other

= final momentum – initial momentum = 0.3 kg m s-1 – 0.3 kg ms-1

= – 0.6 kg ms-1 = 0.6 kg ms-1 (in magnitude)

The two impulses are opposite in direction.

Solution 2

Mass of each ball = 0.05 kg

Initial velocity of each ball = 6 m/s

Magnitude of the initial momentum of each ball, pi = 0.3 kg m/s

After collision, the balls change their directions of motion without changing the magnitudes of their velocity.

Final momentum of each ball, pf = –0.3 kg m/s

Impulse imparted to each ball = Change in the momentum of the system

pf – pi

= –0.3 – 0.3 = –0.6 kg m/s

The negative sign indicates that the impulses imparted to the balls are opposite in direction.

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NCERT Class 11 Physics Textbook
Chapter 5 Laws of Motion
Q 18 | Page 111
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