Question

In: Physics

Ball 1 with mass 1 kg moves at constant velocity to the right at 3.0 m/s,...

Ball 1 with mass 1 kg moves at constant velocity to the right at 3.0 m/s,

towards Ball 2 with mass 2 kg moving to the right at 1.5 m/s. 1 and 2

collide elastically. What is the final velocity of 1 and 2?

Expert Solution

In an elastic collision, the linear momentum and the energy both are conserved.

The initial momentum of the system is

The initial energy of the system is

The final momentum of the system is

The final energy of the system is

The conservation of momentum and energy gives us

Putting the value of v1

The solutions to this quadratic equation are

and

The later solution (v2 = 1.5) is its initial value. So, the solution we are interested is v2 = 2.5 m/s.

So, the solution is

Putting this value in equation

So, the answer is

genius_generous answered 7 months ago

a 5.00 kg ball, moving to the right at a velocity of 2.00 m/s on the...

a 5.00 kg ball, moving to the right at a velocity of 2.00 m/s on the frictionless table, collide head on with a stationary 7.50 kg ball. find the final velocities of the balls if the collision is elastic, completely inelastic the balls stick together

A 2.90-kg ball, moving to the right at a velocity of +1.53 m/s on a frictionless...

A 2.90-kg ball, moving to the right at a velocity of +1.53 m/s on a frictionless table, collides head-on with a stationary 6.20-kg ball. Find the final velocities of (a) the 2.90-kg ball and of (b) the 6.20-kg ball if the collision is elastic. (c) Find the magnitude and direction of the final velocity of the two balls if the collision is completely inelastic.

Mass m = 0.1 kg moves to the right with speed v = 0.54 m/s and...

Mass m = 0.1 kg moves to the right with speed v = 0.54 m/s and collides with an equal mass initially at rest. After this inelastic collision the system retains a fraction = 0.9 of its original kinetic energy. If the masses remain in contact for 0.01 secs while colliding, what is the average force in N between the masses during the collision? Hints: All motion is in 1D. Ignore friction between the masses and the horizontal surface. You...

Ball A of mass 0.55 kg has a velocity of 0.65 m/s east. It strikes a...

Ball A of mass 0.55 kg has a velocity of 0.65 m/s east. It strikes a stationary ball, also of mass 0.55 kg. Ball A deflects off ball B at an angle of 37° north of A's original path. Ball B moves in a line 90° right of the final path of A. Find the momentum (in kg m/s) of Ball A after the collision.

Billiard ball A of mass 1.00 kg is given a velocity 7.10 m/s in +x direction...

Billiard ball A of mass 1.00 kg is given a velocity 7.10 m/s in +x direction as shown in the figure. Ball A strikes ball B of the same mass, which is at rest, such that after the impact they move at angles ΘA = 63.0 ° and ΘB respectively. The velocity of ball A after impact is 4.20 m/s in the direction indicated in the figure. Figure showing a layout of the problem as described in text. A) What...

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!!!

A 2.0-kg ball moving at 10 m/s makes an off-center collision with a 3.0-kg ball that...

A 2.0-kg ball moving at 10 m/s makes an off-center collision with a 3.0-kg ball that is initially at rest. After the collision, the 2.0-kg ball is deflected at an angle of 30° from its original direction of motion and the 3.0-kg ball is moving at 4.0 m/s. Find the speed of the 2.0-kg ball and the direction of the 3.0-kg ball after the collision. Hint: sin2θ + cos2θ = 1. speed of 2.0-kg ball m/s direction of 3.0-kg ball...

A block of 4 kg moves in the +x direction with a velocity of 15 m/s...

A block of 4 kg moves in the +x direction with a velocity of 15 m/s while a block of 6 kg moves in the +y direction with a velocity of 10 m/s. They collide and stick together. Calculate the following: a. What is the momentum in this system? b. What is the final velocity of the two blocks?

A soccer ball (mass = 0.450 kg, diameter = 0.70 m) is rolled down a 3.0...

A soccer ball (mass = 0.450 kg, diameter = 0.70 m) is rolled down a 3.0 m high ramp that makes an angle of 30 degrees with the horizontal and is 6.0 m long. Assume the ball is a hollow sphere (I = 2/3MR^2) and begins at rest. How long (in seconds) would it take the ball to reach the bottom of the ramp?

A 3.0 kg cart moving to the right with a speed of 1.0 m/s has a...

A 3.0 kg cart moving to the right with a speed of 1.0 m/s has a head-on collision with a 5.0 kg cart that is initially moving to the left with a speed of 2.0 m/s. After the collision, the 3.0 kg cart is moving to the left with a speed of 1.0 m/s. a. What is the final velocity of the 5 kg cart? b. Determine the speed of the center of mass of the two carts before and...