Question

In: Physics

A billiard ball is shot east at 2.80 m/s. A second, identical billiard ball is shot...

A billiard ball is shot east at 2.80 m/s. A second, identical billiard ball is shot west at 1.20 m/s. The balls has a glancing collision, not a head-on-collision, deflecting the second ball by 90° and sending it north at 1.55 m/s. What is the angle that the velocity of the first ball makes after the collision, with respect to the east direction?

Solutions

Expert Solution

This problem is based on Law of Conservation of linear momentum. In an isolated system (no external force), the algebraic sum of momenta of bodies, along any straight line, remains constant and is not changed due to their mutual interactions.

In simpler terms, If the net external force acting on a system of bodies is zero, then the momentum of the system remains constant.

One must remember that the momentum of the system is conserved and not that of the individual particles. The momentum of the individual bodies in the system might increase or decrease , but the momentum of the system will always be conserved, as long as there is no external net force acting on it.

Solution


Related Solutions

One billiard ball is shot east at 1.8 m/s . A second, identical billiard ball is...
One billiard ball is shot east at 1.8 m/s . A second, identical billiard ball is shot west at 1.1 m/s . The balls have a glancing collision, not a head-on collision, deflecting the second ball by 90∘ and sending it north at 1.49 m/s . a) What is the speed of the first ball after the collision? Express your answer to two significant figures and include the appropriate units. b) What is the direction of the first ball after...
One billiard ball is shot east at 1.9m/s . A second, identical billiard ball is shot...
One billiard ball is shot east at 1.9m/s . A second, identical billiard ball is shot west at 0.90m/s . The balls have a glancing collision, not a head-on collision, deflecting the second ball by 90? and sending it north at 1.31m/s . 1.)What is the speed of the first ball after the collision? 2.)What is the direction of the first ball after the collision? Give the direction as an angle south of east.
Billiard ball A of mass mA = 0.122 kg moving with speed vA = 2.80 m/s...
Billiard ball A of mass mA = 0.122 kg moving with speed vA = 2.80 m/s strikes ball B, initially at rest, of mass mB = 0.145 kg . As a result of the collision, ball A is deflected off at an angle of θ′A = 30.0∘ with a speed v′A = 2.10 m/s, and ball B moves with a speed v′B at an angle of θ′B to original direction of motion of ball A. 1) Solve these equations for...
Billiard ball A of mass mA = 0.116 kg moving with speed vA = 2.80 m/s...
Billiard ball A of mass mA = 0.116 kg moving with speed vA = 2.80 m/s strikes ball B, initially at rest, of mass mB = 0.135 kg . As a result of the collision, ball A is deflected off at an angle of θ′A = 30.0∘ with a speed v′A = 2.10 m/s, and ball B moves with a speed v′B at an angle of θ′B to original direction of motion of ball A. Solve these equations for the...
A billiard ball of mass 0.28 kg hits a second, identical ball at a speed of...
A billiard ball of mass 0.28 kg hits a second, identical ball at a speed of 7.2 m/s and comes to rest as the second ball flies off. The collision takes 250 μs. a. What is the average force on the first ball? Express your answer with the appropriate units. Enter positive value if the force is along the first ball's initial speed and negative value if the force is opposite to the first ball's initial speed. b. What is...
A billiard ball with speed of 3.0 m/s in the positive x direction hits an identical...
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 speed of 3.0 m/s in the positive x direction hits an identical...
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 speed of 3.0 m/s in the positive x direction hits an identical...
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 A moving at a speed of 2.4 m / s bumps into a...
A billiard ball A moving at a speed of 2.4 m / s bumps into a billiard ball B of the same mass, which are at rest. After the impact, A moves at a speed of 1.4 m / s in a direction that forms the angle 50 ◦ with A's original direction of movement. Determine the magnitude and direction of B's ​​velocity vector by the impact. (Answer 1.8 m / s; 36 ◦)
A ball of mass 500g is shot with an initial velocity of 10 m/s. the ball...
A ball of mass 500g is shot with an initial velocity of 10 m/s. the ball hits a pendulum bob (initially at rest) of mass of 2kg and the collision is perfectly elastic. a) find the velocity of the pendulum bob immediately after the collision. b) find the length of the pendulum if it comes to rest after turning by an angle of 30 degrees. - Part b is the one I am stuck on!!!
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT