For each description, write the letter of the matching equation. 10. angular impulse-angular momentum theorem 3. pf 2 pi 11. angular momentum b. Hit 12. impulse c. For : pf ,0, 13. impulse-momentum theorem d. i. = im 14. law of conservation of angular momentum e. L, = t, 15. linear momentum f. p = my 16. law of conservation of momentum g. rot : Lf ti Answer the foliowing questions. Use compiete sentences. 1?. 18. 19. 20. How can a racing bicycle have the same linear momentum as a pickup truck? In the sport of curling, players slide 19kg pieces of granite called stones on ice toward a target. In a direct hit, as one stone strikes another, the first stone will stop moving. In terms of conservation of momentum, describe what happens to the second stone. When a fire hose is hooked up to a water supply and the water is turned on, it frequently takes more than one firefighter to control the hose. Why does a fire hose recoil when the water is turned on? Suppose you are an astronaut spacewalking outside your spacecraft to repair a broken part. In fixing the pa rt, you have drifted several meters from your spacecraft. You are now at rest and are still holding a bag filled with tools. How could you return to your ship? 4. A metal sphere with a mass of 90.0 g rolls along a frictionless surface at 15.0 m/s and strikes a stationary sphere having a mass of 150.0 g. The first sphere stops completely. At what speed does the second sphere move away from the point of impact? 5. A ball with a mass of 12 g is moving at 15 m/s. It collides with a second ball with a mass of 36 g moving at 5 m/s in the same direction. After the collision, the 12-g ball moves at 6.0 m/s. How great is the change in momentum of the 36-g ball? 6. A 24.0-kg dog running at a speed of 3.0 m/s jumps onto a stationary skateboard that has a mass of 3.6 kg. How long will it take a force with a magnitude of9.0 N to stop the skateboard and dog? 7. A 5.00-kg sphere is moving at a speed of 4.00 m/s. An identical sphere is at rest. The two spheres collide. The first sphere moves off at a 60.0 angle to the left of its original path. The second sphere moves off in a direction 900" to the right of the first sphere's final path. Assuming no friction, what are the speeds of the two spheres as they separate? 21. In terms of conservation of angular momentum, why must a helicopter have at least two rotors to be stable? 22. Suppose you are sitting in a boat that is motionless on the water. What happens when someone standing on a clock nearby tosses a watermelon to you, assuming that you catch it? Explain this outcome according to the law of the conservation of momentum. Applying Physics Knowledge Solve the following problems. Show your calculations. 1. How large is the momentum of a 248-g rubber ball traveling at 30.0 m/s? 2. How much impulse is needed to stop a 32-g mass traveling at a velocity of 38 m/s? 3. A force with a magnitude of 452 N is used to stop an object with a mass of 56.0 kg moving at a velocity of 155 m/s. How long will it take to bring the object to a full stop