A pool ball moving at 5m/s makes an elastic collision with an
identical ball which is...
A pool ball moving at 5m/s makes an elastic collision with an
identical ball which is initially at rest. After the collision, one
ball moves at an angle of 30o with respect to the original
direction of motion.
a) Find the direction of motion of the other ball after the
collision
b) Find the speed of each ball after the collision.
Solutions
Expert Solution
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A moving ball (ball #1) makes a perfectly elastic collision with
a stationary ball (ball #2). After the collision it is observed
that the speed of ball #2 is five times that of ball #1. Determine
the angles θ1 and θ2 that the two balls scatter as measured from
the initial direction of ball #1. You may assume that the two balls
have identical masses, and you may need the identity
sin2(x) + cos2(x) = 1.
Please explain any concepts...
A cue ball traveling at 4.29 m/s makes a glancing, elastic
collision with a target ball of equal mass that is initially at
rest. The cue ball is deflected so that it makes an angle of 30.0°
with its original direction of travel.
(a) Find the angle between the velocity vectors of the two balls
after the collision.
(b) Find the speed of each ball after the collision.
- cue ball (m/s)
- target ball (m/s)
A cue ball traveling at 5.67 m/s makes a glancing, elastic
collision with a target ball of equal mass that is initially at
rest. The cue ball is deflected so that it makes an angle of 30.0°
with its original direction of travel.
(a) Find the angle between the velocity vectors of the two balls
after the collision.
°
(b) Find the speed of each ball after the collision.
cue ball
m/s
target ball
m/
A cue ball traveling at 4.0 m/s makes a glancing, elastic
collision with a target ball of equal mass that is initially at
rest. The cue ball is deflected so that it makes an angle of 30°
with its original direction of travel.
(a) Find the angle between the velocity vectors of the two balls
after the collision. °
(b) Find the speed of each ball after the collision. cue ball
m/s target ball m/s
A cue ball traveling at 5.0 m/s makes a glancing, elastic
collision with a target ball of equal mass that is initially at
rest. The cue ball is deflected so that it makes an angle of 30°
with its original direction of travel.
(a) Find the angle between the velocity vectors of the two balls
after the collision.
(b) Find the speed of each ball after the collision.
A cue ball traveling at 7.77 m/s makes a glancing, elastic
collision with a target ball of equal mass that is initially at
rest. The cue ball is deflected so that it makes an angle of 30.0°
with its original direction of travel.
(b) Find the speed of each ball after the collision.
cue ball
m/s
target ball
m/s
A cue ball traveling at 5.93 m/s makes a glancing, elastic
collision with a target ball of equal mass that is initially at
rest. The cue ball is deflected so that it makes an angle of 30.0°
with its original direction of travel.
(a) Find the angle between the velocity vectors of the two balls
after the collision.
(b) Find the speed of each ball after the collision.
cue ball
target ball
A cue ball traveling at 3.81 m/s makes a glancing, elastic
collision with a target ball of equal mass that is initially at
rest. The cue ball is deflected so that it makes an angle of 30.0°
with its original direction of travel.
(a) Find the angle between the velocity vectors of the two balls
after the collision.
______°
(b) Find the speed of each ball after the collision.
cue ball
____m/s
target ball
____ m/s
A 3.4 kg block moving with a velocity of +4.9 m/s makes an
elastic collision with a stationary block of mass 1.8 kg.
(a) Use conservation of momentum and the fact that the relative
speed of recession equals the relative speed of approach to find
the velocity of each block after the collision.
m/s (for the 3.4 kg block)
m/s (for the 1.8 kg block)
(b) Check your answer by calculating the initial and final kinetic
energies of each block....
A 5.00 g object moving to the right at +20.0 cm/s makes an
elastic head-on collision with a 10.0 g object that is initially at
rest.
(a) Find the velocity of each object after the collision.
cm/s (5.00 g object)
cm/s (10.0 g object)
(b) Find the fraction of the initial kinetic energy transferred to
the 10.0 g object.
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