Energy and Momentum Quiz True or False

1. Which of the following quantities is conserved in an inelastic collision? -> Momentum
2. How much momentum does a 5 kg ball have right before it hits the ground if it is dropped from 3 m in the air? Assume g = 9.81 m/s2. -> 38.4 kg⋅m/s
3. A 60 kg diver is able to leap 2 m into the air off of a springboard. The board flexes and is in contact with the diver for 1.5 s before he jumps. How much force does the board provide to the diver? -> 250 N
4. Which of the following statements is true about conservative forces? -> Conservative forces usually act based on an object's position.
5. A 3500 kg howitzer cannon can fire 50 kg artillery shells at 700 m/s. Recoil from the shot will send the gun flying backwards—but how far backwards will the gun travel after each shot if it is placed on a hydraulic track that can provide 90,000 N of retarding force? -> 1.94 m
6. A 400 kg roller coaster car is towed up a 35 m tall hill and then drops down a 60º incline. What is its speed at the bottom of the hill if friction is not neglected? The coefficient of friction between the coaster's wheels and the track is 0.3. -> 21.2 m/s
7. How far does the center of mass of an 1800 kg pickup truck move when 800 kg of cargo is loaded into the bed, centered 1.5 m to the right of the pickup's original center of mass? -> 1.03 m
8. Missile defense in the mighty Kingdom of Candyland is accomplished by a spring-loaded gumdrop cannon that fires gumdrops straight up, impacting candy cane missiles from the Democratic Goblin's Republic of Goblandia. A gumdrop weighs 0.5 kg and must strike the candy canes, which cruise at an altitude of 80 m, with 30 kg⋅m/s of momentum in order to ensure their destruction. If the spring in the gumdrop cannon has a stiffness constant of 1000 N/m, how far must the Marshmallow Knights compress the cannon in order to keep Candyland safe? (Candyland, of course, has sophisticated targeting computers. Aiming is not an issue.) -> 1.30 m
9. How fast can the 7500 W motor on a chain lift bring a 500 kg roller coaster car up a hill tall enough to give the car a speed of 20 m/s at the bottom of the drop? -> 13.33 s
10. A 3 kg block is sliding on a table at 6 m/s. It travels 1.5 m before it collides elastically with a second block, which weighs 5 kg and is at rest. The coefficient of friction between both blocks and the table is 0.2. How far does the second block travel before it comes to rest again? -> 4.32 m

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