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Practice: Newton's Laws and Kinematics

1. A rifle (m = 3.0 kg) is used to fire a projectile (m = 2.0 g). As it accelerated over a distance of 15 cm, the projectile accelerates to a muzzle velocity of 223 m/s (final velocity).
   1. What is the acceleration of the projectile?
   2. How much time does it take for the projectile to travel the 15 cm?
   3. What is the force acting on the projectile during this time?
   4. Recall Newton's First and Third Laws:
   5. Draw a FBD for the bullet and for the rifle.
   6. What is the total force acting on the rifle?
   7. Assuming no resistance on the gun, what is the rifle's final velocity? (using the time from b)
2. An astronaut, floating weightlessly in space, throws a baseball which reaches a final velocity of 15 m/s in 0.10 s. The astronaut weighs 65 kg, and the baseball weighs 250 g. Using similar steps as in question 1, what is the astronaut's final velocity?
3. Suppose you are stuck in the middle of a frozen pond, and the ice is frictionless. You also have a bucket of pucks with you. What could you do to get back to the shore?