AP Physics ICP: March 3 Problem A: A 50.0 g shell fired from a 3.00 kg rifle has a speed of 400.0 m/s. With what speed does the rifle recoil in the opposite direction? [6.7 m/s] Problem B: Suppose a comet with a mass of 5.0 x 1014 kg and moving with a speed of 74.0 km/s breaks into two equal parts. One part moves 15.0° above the original orbit with a speed of 105 km/s, while a second fragment moves 30.0° below the original orbit. What is the velocity of the second comet fragment? [54 km/s] Problem C: A 20 g bullet is fired horizontally into a 1 kg cart sitting on a track and embeds in the cart. What speed must the bullet have if it is to propel the cart around a vertical circle in the track (2 m radius)? [≈500 m/s] Problem D: The heaviest wild lion ever measured had a mass of 313 kg. Suppose this lion is walking by a lake when it sees an empty boat floating at rest near the shore. The curious lion jumps into the boat with a speed of 6.00 m/s, causing the boat with the lion in it to move away from the shore with a speed of 2.50 m/s. How much kinetic energy is dissipated in this inelastic collision? [3280 J] Problem E: A dump truck used in Canada has a mass of 5.50 x 10 5 kg when loaded and 2.30 x 105 kg when empty. Suppose two such trucks, one loaded and one empty, crash into each other at a monster truck show. The trucks are supplied with special bumpers that make a collision almost perfectly elastic. The trucks hit each other at equal speeds of 5.00 m/s and the less massive truck recoils to the right with a speed of 9.10 m/s. a) What is the velocity of the full truck after the collision? [ 0.89 m/s, left] b) What type of collision is this? Problem F: A 25.0 kg sled carrying a 42.0 kg child is moving with a speed of 3.50 m/s when it collides with a snowman that is initially at rest. If the speed of the snowman, sled, and child is 2.90 m/s, what is the snowman’s mass? [14 kg] AP Physics ICP: March 3 Problem A: A 50.0 g shell fired from a 3.00 kg rifle has a speed of 400.0 m/s. With what speed does the rifle recoil in the opposite direction? [6.7 m/s] Problem B: Suppose a comet with a mass of 5.0 x 1014 kg and moving with a speed of 74.0 km/s breaks into two equal parts. One part moves 15.0° above the original orbit with a speed of 105 km/s, while a second fragment moves 30.0° below the original orbit. What is the velocity of the second comet fragment? [54 km/s] Problem C: A 20 g bullet is fired horizontally into a 1 kg cart sitting on a track and embeds in the cart. What speed must the bullet have if it is to propel the cart around a vertical circle in the track (2 m radius)? [≈500 m/s] Problem D: The heaviest wild lion ever measured had a mass of 313 kg. Suppose this lion is walking by a lake when it sees an empty boat floating at rest near the shore. The curious lion jumps into the boat with a speed of 6.00 m/s, causing the boat with the lion in it to move away from the shore with a speed of 2.50 m/s. How much kinetic energy is dissipated in this inelastic collision? [3280 J] Problem E: A dump truck used in Canada has a mass of 5.50 x 10 5 kg when loaded and 2.30 x 105 kg when empty. Suppose two such trucks, one loaded and one empty, crash into each other at a monster truck show. The trucks are supplied with special bumpers that make a collision almost perfectly elastic. The trucks hit each other at equal speeds of 5.00 m/s and the less massive truck recoils to the right with a speed of 9.10 m/s. a) What is the velocity of the full truck after the collision? [ 0.89 m/s, left] b) What type of collision is this? Problem F: A 25.0 kg sled carrying a 42.0 kg child is moving with a speed of 3.50 m/s when it collides with a snowman that is initially at rest. If the speed of the snowman, sled, and child is 2.90 m/s, what is the snowman’s mass? [14 kg]
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