Problems in Impulse, Momentum, and Conservation of Momentum

To be done neatly on a separate sheet of lined paper. Show work and units. Circle answers.

  1. A driver accelerates a 1000 kg snowmobile, which results in a force being exerted that speeds the snowmobile from 6.0 m/s to 28 m/s in 60 sec.
  2. What is the snowmobile’s change in momentum?
  3. What is the impulse on the snowmobile?
  4. What is the average force exerted on the snowmobile?
  1. A 72 kg student stands on a 1-kg skateboard holding a 7-kg ball. He tosses the ball (horizontally) to the north at 2.5 m/s. What is the final velocity of the boy and skateboard. Assume all the objects are initially at rest and there is no friction.
  1. A 5-g bullet is fired from a 5 kg gun. If the bullet leaves the gun at 150 m/s. What is the recoil velocity of the gun?
  1. The cannon is 1200-kg and the cannonball is 8 kg. If the ball leaves the cannon with a speed of 650 m/s, find the recoil velocity of the cannon.
  1. A spacecraft in outer space increases its velocity by firing its rockets. How can expelling hot gases change the velocity when there is nothing in space to push against?
  1. An astronaut at rest in space fires a thruster pistol forward that expels 35g of hot gas at 875 m/s. The combined mass of the astronaut and pistol is 84 kg. How fast and in what direction is the astronaut moving after the firing?
  1. Small rockets are used to make tiny adjustments in the speed of satellites. One such rocket has a thrust of 35 N. If it is fired to change the velocity of a 72,000 kg craft by 0.63 m/s, how long should it be fired?
  1. A 10 g bullet is fired from a 15 kg gun. A) If the velocity of the bullet is 50 m/s after the firing, what was the recoil velocity of the gun? B) If the shooter was able to bring the rifle to rest in 0.4 seconds. What force did he exert on the gun?
  1. A 2275 kg car going 28 m/s rear-ends an 875 kg compact car going 16 m/s on ice in the same direction. The two cars stick. What is final velocity of the wreckage?
  1. A 35 g bullet strikes a 5 kg wooden block and embeds itself in the block. The block and bullet fly off together at 8.6 m/s. What was the original speed of the bullet?
  1. A 1000 kg car traveling north at 100 km/h hits a 9000 kg truck initially at rest. If the collision is totally elastic, and the truck moves north at 10 km/h as a result of the collision, what is the final velocity of the car?
  1. *A railway truck, B, of 2000-kg is at rest on a horizontal track. Another truck, A, of the same mass moving with a speed of 5 ms-1, collides with the stationary truck, and they link up and move off together.
  2. Find the final speed of the linked trucks.
  3. Find the loss of KE in the collision.