Question

A cue ball (mass = 0.170 kg) is at rest on a frictionless pool table. The ball is hit dead center by a pool stick, which applies an impulse of +1.20 N · s to the ball. The ball then slides along the table and makes an elastic head-on collision with a second ball of equal mass that is initially at rest. Find the velocity of the second ball just after it is struck.

? m/s

Answer #1

According to impulse momentum theorm,

I = mv_{f} - mv_{i}

For the cue ball, the initial velocity is 0.

When it got a +1.20 N s impulse, the velocity afterwards is

1.20 = 0.170 v - 0

v = 7.06 m/s

Therefore, the cue ball with 7.07 m/s make an elastic head-on collision with the second ball.

Since the two balls are equal masses, then after the collision, the second ball has the velocity of 7.06 m/s. The cueball would be at rest.

You can solve it by conservation of momentum and kineticenergy.

Denot v_{1} and v_{2} as the velocity of cueball
and the second ball after the collision, respectively.

conservation of momentum:

mv = mv_{1} + mv_{2}

conservation of energy

Solve both equations, we find v_{1} = 0,
andv_{2} = v = 7.06 m/s

So the velocity is 7.06 m/s for the second ball right after the collision.

A cue ball (mass = 0.140 kg) is at rest on a frictionless pool
table. The ball is hit dead center by a pool stick, which applies
an impulse of +1.40 N · s to the ball. The ball then slides along
the table and makes an elastic head-on collision with a second ball
of equal mass that is initially at rest. Find the velocity of the
second ball just after it is struck. m/s

In a pool game, the cue ball, which has an initial speed of 2.5
m/s, makes an elastic collision with the 8-ball, which is initially
at rest. After the collision, the 8-ball moves at an angle theta =
14.3 degrees with respect to the original direction of the cue
ball. Assume the pool table is frictionless and the masses of the
cue ball and the 8-ball are equal. The cue ball travels at an angle
of 90 degrees after the...

In a game of pool, the cue ball strikes another ball of the same
mass and initially at rest. After the collision, the cue ball moves
at 1.10 m/s along a line making an angle of 15.0° with its original
direction of motion, and the second ball has a speed of 0.850 m/s.
Find (a) the angle between the direction of motion
of the second ball and the original direction of motion of the cue
ball and (b) the original...

In a game of pool, the cue ball strikes another ball of the same
mass and initially at rest. After the collision, the cue ball moves
at 1.70 m/s along a line making an angle of 25.0° with its original
direction of motion, and the second ball has a speed of 1.40 m/s.
Find (a) the angle between the direction of motion
of the second ball and the original direction of motion of the cue
ball and (b) the original...

A ball with a mass of 1.1 kg is initially at rest. It is struck
by a second ball having a mass of 1.3 kg, initially moving with a
velocity of 3.5 m/s toward the right along the x axis. After the
collision, the 1.3 kg ball has a velocity of 2.7 m/s at an angle of
35? above the x axis in the first quadrant. Both balls move on a
frictionless, horizontal surface. Do not assume that the collision...

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...

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
friction and rotation and assume the collision is elastic. find the
speed of each ball and the direction of the cue ball. (please
include free body diagram and explanations).

A ball with a mass of 0.615 kg is initially at rest. It is
struck by a second ball having a mass of 0.405 kg , initially
moving with a velocity of 0.275 m/s toward the right along the x
axis. After the collision, the 0.405 kg ball has a velocity of
0.215 m/s at an angle of 36.9 ? above the x axis in the first
quadrant. Both balls move on a frictionless, horizontal
surface.
What is the magnitude...

In a pool game, the cue ball, which has an initial speed of 7.0
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 25° to the original direction of the cue ball.
(a) Find the direction of motion of the cue ball after the
collision (______) I got the 60° which is right.
(b) Find the speed of each ball. Assume that the balls...

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

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 5 minutes ago

asked 25 minutes ago

asked 38 minutes ago

asked 38 minutes ago

asked 38 minutes ago

asked 46 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago