Question

One billiard ball is shot east at 2.5 m/s . A second, identical billiard ball is shot west at 0.80 m/s . The balls have a glancing collision, not a head-on collision, deflecting the second ball by 90∘ and sending it north at 1.34 m/s .

What is the speed of the first ball after the collision?

What is the direction of the first ball after the collision? Give the direction as an angle south of east.

Answer #1

he mass of the identical balls m1 = m2 = m

the velocity of the first ball v1 = 2.5i m/s

the velocity of the second ball v2 = -0.80 i m/s

the final velocity of the second ball v2f = 1.34j m/s

Here i ,j are the units vectors along east and north

Now from law of conservation of momentum

m1v1i + m2v2i = m1v1f + m2v2f

along X- axis

m1vx1f = m1v1i + m2v2i

vx1f = v1i + v2i

= 2.5 - 0.80

= 1.7i m/s

along Y-axis

0 = m1vy1f + m2v2f

m1vy1f = -m2v2

then vyf1 = - v2f = -1.34j

then the final speed of the first ball

v1f = sqrt(1.7)^2 + (1.34)^2

**v1f = 2.165 m/s**

and direction

θ = tan^-1(-1.34/1.7) = **38.24 deg south of
east**

One billiard ball is shot east at 3.0 m/s. A second, identical
billiard ball is shot west at 0.8 m/s. The balls have a glancing
collision, not a head-on collision, deflecting the second ball by
90° and sending it north at 1.58 m/s. What are the speed and
direction of the first ball after the collision?
___________ m/s, ___________ ° south of east

one billiard ball is shot easy at 2.5 m/s. A second,
identical billiard ball is shot west at 1.2m/s. The balls have a
glancing collision, not a head-on collision, deflecting the sencond
ball by 90 degrees and sending it north at 1.34m/s.
a) what is the speed of the first ball after the collision?
b)what is the direction of the first ball after the collision?

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 billiard ball is shot west at 0.7 m/s. A second, identical
ball is shot east at 1.5 m/s. The balls have a glancing collision,
which deflects the first ball at 90 deg. and sending it north at
0.2 m/s. What is the speed of the other ball right after the
collision?

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 billiard ball with speed of 3.0 m/s in the positive x
direction hits an identical second billiard ball that is at rest at
the origin. After the collision one of the balls has a momentum
with an angle of -24 degrees respect to the positive x axis. The
direction of the momentum of the second ball in degrees is:

A
billiard ball with a mass of 4 g is moving east while a second ball
with a mass of 3 g moves west. Positive x axis is due east. The two
balls come into head on collision while moving in their respective
velocities. Assume that the motion is one dimensional and the
collision is perfectly elastic. If the initial velocities of the
balls are 12 cm/s and 10 cm/s, what are the velocities of each ball
after the collision?

A billiard ball (m=0.17 kg) traveling at 3.25 m/s collides with
an identical billiard ball at rest. After the collision, the first
ball travels at 1.87 m/s at an angle of 23 degrees from the
positive x-axis. What is (a) the speed and (b) the angle of the
second ball?

One pool ball is launched in the positive x direction with a
speed of 2.5 m/s. A second, identical pool ball is launched in the
negative x direction with a speed of 1.2 m/s. The two collide in a
glancing collision (not head on) and the second ball is deflected
directly in the positive y direction with a speed of 1.4 m/s.
A. Determine the final velocity of the
first ball. Give your answer in unit vector notation.
B. If...

What is the system linear momentum of a pair of identical 0.16
kg billiard balls if the first ball moves due east at 2.5 m/s and
the second ball moves 30° due north of east at 3.1 m/s? Use East as
0° with rotation from east toward north as positive.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago