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8. A 0.56-kg ball is thrown vertically upward with an initial speed of 13.5 m/s. What is the potential energy of the ball when it has travelled one-half of the distance to its maximum height? (Use the launch point to be the zero reference point of measurements of the heights) 9. A basketball whose mass is 0.660 kg falls from rest through a height of 4.95 m, and then bounces back. On its way up it, passes by a height of 3.25 m with a speed of 2.30 m/s. How much energy is lost during the bounce? 10. A box of mass 7.60 kg is pulled from rest up a 37.0 m long incline that makes an angle of 14.0 with horizontal. The coefficient of kinetic friction between the box and the incline is 0.200. At the top of the incline, the speed of the box is 5.30 m/s. What is the work done by the pulling force?1. A 0.66-le object with an initial velocity of 2.80 m/s in the positive x-direction is acted on by a force in the direction of motion. The force does +6.50 J of work. What is the nal velocity of the object?(Neglect friction) m/s 2. Car 1 has 8 times the mass of car 2, but only 0.7 as much kinetic energy. What is the ratio between the speeds of the two cars (vi/v2)? You must type your answer as a numerical value. 3. A record was set for stair climbing when a man ran up the 2400 steps of the Empire State Building in 11 minutes and 20 seconds. If the height gain of each step was 0.2 m, and the man's mass was 70.0 kg, what was his average power output during the climb? T i i l W 4. The drawing shows a version of the .loop-thnealoop trick for a small car. If the car is given an initial speed of v = 4.8 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track at all times? 5. A boy pulls a 29.l0-kg box with a 130-N force at 32 above a horizontal surface. If the coefficient of kinetic friction between the box and the horizontal surface is 0.22 and the box is pulled a distance of 38.0 m, what is the network done on the box? __=_% J 6. A 29.00-kg child initially at rest slides down a playground slide from a height of 2.80 m above the bottom of the slide. If her speed at the bottom is 2.29 m/s, how much energy is lost due to friction? , , i is] J 7. A roller coaster reaches the top of the steepest hill with a speed of 6.80 km/h. It then descends the hill, which is at an average angle of 25 and is 45.0 m long. What will its speed be when it reaches the bottom? Assume pk = 0.16. . m/s 8. A 0.56kg ball is thrown vertically upward with an initial speed of 13.5 m/s. What is the potential-energy of the ball when it has travelled one-half of the distance to its maximum height? (Use the launch paint to be the zero reference point of measurements of the heights) 77 , W ' J