Question

In: Physics

A billiard ball rolling across a table at 1.45 m/s makes a head-on elastic collision with...

A billiard ball rolling across a table at 1.45 m/s makes a head-on elastic collision with an identical ball. Find the speed of each ball after the collision when each of the following occurs.

(a) The second ball is initially at rest.

first ball	m/s
second ball	m/s

(b) The second ball is moving toward the first at a speed of 1.10 m/s.

first ball	m/s
second ball	m/s

first ball	m/s
second ball	m/s

Solutions

Expert Solution

During collision momentum is conserved

Initial momentum = Final momentum

Given that both balls are identical

--------(1)

===================

Since collision is elastic, kinetic energy is conserved

Initial kinetic energy = Final kinetic energy

Given that both balls are identical

-----------(2)

===============================

(a) The second ball is initially at rest.

From (1)

-----------(a)

--------

From (2)

Put (a) in the above equation

ANSWER:

Put the value of v₂ in (a)

ANSWER:

===========================================

(b) The second ball is moving toward the first at a speed of 1.10 m/s.

From (1)

-----------(b)

--------

From (2)

Put (b) in the above equation

Solve the quadratic equation using a calculator

ANSWER:

Put the value of v₂ in (b)

ANSWER:

===========================================

From (1)

-----------(c)

--------

From (2)

Put (c) in the above equation

Solve the quadratic equation using a calculator

ANSWER:

Put the value of v₂ in (c)

ANSWER:

===========================================

genius_generous answered 1 month ago

Next > < Previous

Related Solutions

A ball of mass 0.5 kg makes a head-on elastic collision with a second ball (at...

A ball of mass 0.5 kg makes a head-on elastic collision with a second ball (at rest) and rebounds with a speed equal to 0.450 its original speed. The mass of the second ball in kg

A cue ball traveling at 4.29 m/s makes a glancing, elastic collision with a target ball...

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...

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...

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...

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...

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 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.

A 2.0-g particle moving at 8.6 m/s makes a perfectly elastic head-on collision with a resting...

A 2.0-g particle moving at 8.6 m/s makes a perfectly elastic head-on collision with a resting 1.0-g object. (a) Find the speed of each particle after the collision. 2.0 g particle m/s 1.0 g particle m/s (b) Find the speed of each particle after the collision if the stationary particle has a mass of 10 g. 2.0 g particle m/s 10.0 g particle m/s (c) Find the final kinetic energy of the incident 2.0-g particle in the situations described in...

A neutron in a nuclear reactor makes an elastic, head-on collision with the nucleus of a...

A neutron in a nuclear reactor makes an elastic, head-on collision with the nucleus of a carbon atom initially at rest. (a) What fraction of the neutron's kinetic energy is transferred to the carbon nucleus? (The mass of the carbon nucleus is about 12.0 times the mass of the neutron.) ANSWER: 0.284 (b) the initial kinetic energy of the neutron is 3.10 10-13 J. Find its final kinetic energy and the kinetic energy of the carbon nucleus after the collision.

A neutron in a nuclear reactor makes an elastic, head-on collision with the nucleus of a...

A neutron in a nuclear reactor makes an elastic, head-on collision with the nucleus of a carbon atom initially at rest. (a) What fraction of the neutron's kinetic energy is transferred to the carbon nucleus? (The mass of the carbon nucleus is about 12.0 times the mass of the neutron.) __________ b) The initial kinetic energy of the neutron is 2.70 10-13 J. Find its final kinetic energy and the kinetic energy of the carbon nucleus after the collision. neutron...

Subjects