Question

A cue stick exerts a force of 200 N for 10?3 s to a stationary
billiard ball (A) with

mass m. Then this billiard ball (A) hits another billiard ball (B)
with same mass

and which is at rest initially. After the collision, the billiard
ball (B) moves with a

speed vB =

p

2 m/s at an angle 45 degree with respect to the axis of the
incoming

ball (A). Assuming no friction between the billiard balls and the
table, and assuming

the collision is completely elastic: (cos 45 = sin 45 =

p

2=2)

15. What is the angle between directions of two moving balls after
the collision?

(a) 30 (b) 60 (c)

p

2 30 (d) 0 (e) 90

16. What is the mass m of each billiard ball?

(a)

p

200 kg (b) 1 kg (c) 0.2 kg (d) 0.1 kg (e)

p

2 kg

17. What is the maximum radius of a planet with mass 9 1024 kg, in
order that an object thrown out from this planet with

a speed c would not overcome the gravitational force? (c = 3 108
m/s, Universal gravitational constant G = 7 10?11

Nm2/kg2)

(a) 7 mm (b) 60 mm (c) 700 mm (d) 14 mm (e) 120 mm

Answer #1

A 0.50 kg cue ball makes a glancing blow to a stationary 0.50 kg
billiard ball. After the collision the cue ball deflects with a
speed of 1.2 m/s at an angle of 30.0° from its original path.
Calculate the original speed of the cue ball if the billiard ball
ends up travelling at 1.6 m/s.

a cue ball is shot at 7m/s east on a pool table toward a
stationary billiard ball with equal mass. after the collision the
billiard ball goes off at an angle 20 degrees north of east. ignore
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speed of each ball and the direction of the cue ball. (please
include free body diagram and explanations).

A 0.165 kg cue ball travelling at 5.92 m/s collides with a 0.155
kg billiard ball, which is initially stationary. The cue ball
scatters at 57.0o relative to the original line of motion. However,
the billiard ball moves off at an angle of 29.4o below the
horizontal. Determine the final speed of cue ball and billiard
ball, respectively.

a) A billiard cue ball with a mass of 0.60 kg and an eight ball
with a mass of 0.55 kg are rolled toward each other. The cue ball
had a velocity of 3.0 m/s at 360°, and the eight ball had a
velocity of 2.0 m/s at 90o. After the collision, the cue ball moves
off at a velocity of 2.8 m/s at 105o. What is the velocity of the
eight ball? Show all of your work.

A cue ball traveling at 4.25 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

In a pool game, the cue ball, which has an initial speed of 4.0
m/s, make an elastic collision with the eight ball, which is
initially at rest. After the collision, the eight ball moves at an
angle of 35° to the original direction of the cue ball.
(a) Find the direction of motion of the cue ball after the
collision.
° (from the original line of motion)
(b) Find the speed of each ball. Assume that the balls have...

One billiard ball with a mass of 0.50 kg is shot east at 2.5
m/s. A second billiard ball with a mass of 0.25 kg is shot west at
2.0 m/s. The balls have a glancing collision, not a head-on
collision, deflecting the first ball by 90° and sending it north at
1.0 m/s.
What are the speed of the second ball after the collision?
What is the direction of the second ball after the collision?
Express your answer as...

A cue ball traveling at 4.23 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
SHOW ALL WORK!

A cue ball traveling at 8.0 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

Billiard ball
collision in 2-D. Billiard ball A moving with speed vA=
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at rest.
The two balls are
observed to move off at some unknown angle to the x-axis, ball A
above the x-axis and ball B below.
If v'A = 2.86-m/s at
what angle did ball A go above the x-axis?

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