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