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| A child in a boat throws a 5.40-kg package out horizontally with a speed of 10.0 m/s. Calculate the velocity of the boat immediately after, assuming it was initially at rest. The mass of the child is 26.0 kg and that of the boat is 55.0 kg. | -0.67 m/s |
| A halfback on an apparent breakaway for a touchdown is tackled from behind. If the halfback has a mass of 95 kg and was moving at 4.1 m/s when he was tackled by an 85-kg cornerback running at 5.5 m/s in the same direction, what was their mutual speed immediately after the touchdown-saving tackle? | 4.76 m/s |
| A 12,500-kg railroad car travels alone on a level frictionless track with a constant speed of 18.0 m/s. A 5750-kg additional load is dropped onto the car. What then will be the car's speed? | 12.33 m/s |
| A 9500-kg boxcar traveling at 16 m/s strikes a second car. The two stick together and move off with a speed of 6.0 m/s. What is the mass of the second car? | 15,833.33 kg |
| A gun is fired vertically into a 1.40-kg block of wood at rest directly above it. If the bullet has a mass of 21.0 g and a speed of 210 m/s, how high will the block rise into the air after the bullet becomes embedded in it? | 0.49 m |
| An atomic nucleus at rest decays radioactively into an alpha particle and a smaller nucleus. What will be the speed of this recoiling nucleus if the speed of the alpha particle is 3.8 x 10^5 m/s? Assume the recoiling nucleus has a mass 57 times greater than that of the alpha particle. | -6,666.67 m/s |
| A 13-g bullet traveling 230 m/s penetrates a 2.0-kg block of wood and emerges going 170 m/s. If the block is stationary on a frictionless surface when hit, how fast does it move after the bullet emerges? | 0.39 m/s |
