Must all be handwritten neatly and show all work and steps

1. A car with good tires on a dry road can decelerate (slow down) at a steady rate of about 5.0 m/s when braking. If a car is initially traveling at 55 mi/h (a) how much time does it take the car to stop? (b) what is its stopping distance? B i U Font Family VX (mV/s) 2. The graph in the figure represents the velocity of a particle as it travels along the x-axis. What is the average acceleration of the particle between t = 2.0 s and t = 4.0 s? 3.0 - 1 (5 ) B i U Font Family Q 3. The figure shows three vectors, A, B , and , having magnitudes 7.0 cm, 6.0 cm, and 4.0 cm, respectively. Find the x and y components of the resultant of these three vectors. B i U Font Family 4. A rock is thrown from the roof of a building, with an initial velocity of 10 m/s at an angle of 30 above the horizontal. The rock is observed to strike the ground 43 m from the base of the building. What is the height of the building assuming no air resistance? B i U Font Family5. A 40-kg crate is being lowered with a downward acceleration is 2.0 m/s2 by means of a rope. (a) What is the magnitude of the force exerted by the rope on the crate? (b) What would be the magnitude of the force exerted by the rope if the crate were being raised with an acceleration of 2.0 m/s2? i U Font Family 6. A flatbed truck is carrying an 800-kg load of timber that is not tied down. The maximum friction force between the truck bed and the load is 2400 N. What is the greatest acceleration that the truck can have without losing its load? B i U Font Family 7. The figure shows a system consisting of three blocks, a light frictionless pulley, and light connecting ropes that act horizontally on the upper two blocks. The 9.0-kg block is on a perfectly smooth horizontal table. The surfaces of the 12-kg block are rough, with JK = 0.30 between the 12-kg and 9.0-kg blocks. The mass M of the hanging block is set so that it descends at a constant velocity of 3.25 m/ at is the mass M of the hanging block? (b) The mass M is now changed to 5.0 kg, causing it to accelerate downward after it is released. What is the acceleration of the hanging mass? 12 kg 9.0 kg B i U Font Family Q8. A 7.5-kg stone moves up frictionless hill that slopes upward at 41 above the horizontal. If the stone has an initial velocity of 8.5 m/s at the bottom, how far (as measured along the surface of the hill) will it go before stopping? B i U Font Family9. A Ferris wheel has radius 5.0 m and makes one revolution every 8.0 s with uniform rotation. A person who normally weighs 670 N is sitting on one of the benches attached at the rim of the wheel. What is the apparent weight (the normal force exerted on her by the bench) of the person as she passes through the highest point of her motion? i U Font Family 10. A satellite orbits the Earth once every 6.0 hours in a circle. What are the magnitude and direction of the acceleration of the satellite? (G = 6.67 x 10-11 N . m2/kg2, Mearth = 5.97 x 1024 kg) B i U Font Family AA A OF . . 3 6 2 0 1 9:VB Q 11. How high a hill would a 75-kg hiker have to climb to increase her gravitational potential energy by 10,000 J? B i U Font Family 12. A frictionless simple pendulum, with a small but dense 4.4-kg mass at the end and a length of 75 cm, is released from rest at an angle of 50 with the vertical. (a) To what height above its lowest point does the mass swing on the other side? b) What is the speed of the B i U Font Family 13. Water flows over a waterfall that is 20 m high at the rate of 4.0 x 104 kg/s. If this water powers an electric generator with a 40% efficiency, how many watts of electric power can be supplied? B i U Font Family14. Rita raises a 10kg package to a height of 2.5 m in 2.0 s. (a) How much work did she do on the package (b) How much power was expended on the package? (c) If she were to raise the package in 1.0 s rather than 2.0 s, how do the work and power change? B i U Font Family 15. In a physical fitness program, a woman who weighs 510 N runs up four flights of stairs in 22 s. Each flight rises 3.1 m. (1 hp = 746 W) (a) What is her total change in potential energy? b) What was the minimum average power (in watts) that she expended during the 22 s? (c) What horsepower motor would be required to generate the same power? B i U Font Family 16. A 100% efficient engine is being used to raise a 89-kg crate vertically upward at a steady rate. If the power output of the engine is 1620 W, how long does it take the engine to lift the crate a vertical distance of 18.7 m? Friction in the system is negligible. B i U Font Family