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1.) A Bluray disk is orginally...

1.)

A Bluray disk is orginally at rest. A mass of 0.23 kg is attached to the Bluray a distance of 0.1 meters from center of the Bluray. The tangential acceleration of the mass is 3.3 m/s2 and is constant. If the Bluray, is spun from rest about its center, how many revolutions does the disk make in order for the mass on the disk have a kinetic energy of 14 Joules?

2.)

NASA, when it sends probes to other planets, uses what is known as a gravitational slingshot. This is when a probe uses the gravitational potential energy a planet to gain kinetic energy. Even though the probe and the planet are not physically colliding, one can treat this problem as a perfectly elastic head on collision between the probe and the planet. Suppose the probe, with a mass of one millionth the mass of the planet, is approaching the planet initially at 259.9 m/s in the negative x direction and the planet is moving at 48.6 m/s in the positive x direction. What is the magnitude of the final velocity of the probe, in m/s, after the collision?

3.)

A mass of 9.2 kg is moving in the positive x direction at 14.7 m/s and collides in a perfectly elastic, head on collision with a mass of 11.7 kg at rest. The same mass of 9.2 kg in the positive direction at 14.7 m/s also collides with the mass of 11.7 kg at rest in an inelastic collision. If both collisions occur over a time of 0.16 seconds, what is the difference between the magnitdue of the average force on the 9.2 kg mass in the elastic collision, and magnitude of the the average force on the 9.2 kg mass in the inelastic collision? That is, how much greater is magnitude of the the average force in the elastic collsion compared to the inelastic collision? Answer in Newtons.

4.)

A mass of 6.9 kg is moving in the positive x direction at 6.7 m/s and collides in a perfectly elastic, head on collision with a mass of 12.1 kg moving at 14.5 m/s in the negative x direction. If the collision takes place in a time of 0.27 seconds, what is the magnitude of the average force on the 6.9 kg mass in Newtons?

5.)

Mass 1 with a unknown mass starts at rest at the top of a frictionless from a height of 11 meters. It then slides down the incline and moves over a horizontal frictionless surface and collides inelastically (head on) with mass 2 which is 15.7 kg and initially at rest. After the collision, the total kinetic energy of both masses is 57% of the initial total kinetic energy of both masses before the collision. What is the amount of mass 1 in kg?

6.)

An object with a mass of 24.8 kg is hung from two identical springs vertically. The springs both stretch 0.11 meters from equilibrium with the attached mass. One of the those springs is placed on a horizontal surface without friction and the mass of 24.8 kg is held still next to the spring after it has been compressed 1.68 meters from equilibrium. The 24.8 kg mass is then released and it collides perfectly elastically (head on) on the horizontal surface with a 4.7 kg mass on the horizontal surface which is initially at rest. After the collision, the 4.7 kg mass travels up a frictionless incline which is inclined at 37 degrees. How far up the incline does the mass travel up the incline, in meters, before it stops?

A Bluray disk is orginally at rest. A mass of 0.23 kg is attached to the Bluray a distance of 0.1 meters from center of the Bluray. The tangential acceleration of the mass is 3.3 m/s2 and is constant. If the Bluray, is spun from rest about its center, how many revolutions does the disk make in order for the mass on the disk have a kinetic energy of 14 Joules?

2.)

NASA, when it sends probes to other planets, uses what is known as a gravitational slingshot. This is when a probe uses the gravitational potential energy a planet to gain kinetic energy. Even though the probe and the planet are not physically colliding, one can treat this problem as a perfectly elastic head on collision between the probe and the planet. Suppose the probe, with a mass of one millionth the mass of the planet, is approaching the planet initially at 259.9 m/s in the negative x direction and the planet is moving at 48.6 m/s in the positive x direction. What is the magnitude of the final velocity of the probe, in m/s, after the collision?

3.)

A mass of 9.2 kg is moving in the positive x direction at 14.7 m/s and collides in a perfectly elastic, head on collision with a mass of 11.7 kg at rest. The same mass of 9.2 kg in the positive direction at 14.7 m/s also collides with the mass of 11.7 kg at rest in an inelastic collision. If both collisions occur over a time of 0.16 seconds, what is the difference between the magnitdue of the average force on the 9.2 kg mass in the elastic collision, and magnitude of the the average force on the 9.2 kg mass in the inelastic collision? That is, how much greater is magnitude of the the average force in the elastic collsion compared to the inelastic collision? Answer in Newtons.

4.)

A mass of 6.9 kg is moving in the positive x direction at 6.7 m/s and collides in a perfectly elastic, head on collision with a mass of 12.1 kg moving at 14.5 m/s in the negative x direction. If the collision takes place in a time of 0.27 seconds, what is the magnitude of the average force on the 6.9 kg mass in Newtons?

5.)

Mass 1 with a unknown mass starts at rest at the top of a frictionless from a height of 11 meters. It then slides down the incline and moves over a horizontal frictionless surface and collides inelastically (head on) with mass 2 which is 15.7 kg and initially at rest. After the collision, the total kinetic energy of both masses is 57% of the initial total kinetic energy of both masses before the collision. What is the amount of mass 1 in kg?

6.)

An object with a mass of 24.8 kg is hung from two identical springs vertically. The springs both stretch 0.11 meters from equilibrium with the attached mass. One of the those springs is placed on a horizontal surface without friction and the mass of 24.8 kg is held still next to the spring after it has been compressed 1.68 meters from equilibrium. The 24.8 kg mass is then released and it collides perfectly elastically (head on) on the horizontal surface with a 4.7 kg mass on the horizontal surface which is initially at rest. After the collision, the 4.7 kg mass travels up a frictionless incline which is inclined at 37 degrees. How far up the incline does the mass travel up the incline, in meters, before it stops?

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