1. A 10.0-kg crate slides along a horizontal frictionless surface at a constant specd of 4.0 m/s. The crate then slides down a frictionless incline and across a second horizontal surface as shown in the figure. 4.0 m/s3 4.0 m m What is the kinetic energy of the crate as it slides on the upper surface? What is the speed of the crate when it arrives at the lower surface?

6. At the moment when a bodybuilder throws a 10.0kg medicine ball, it is exactly 2.0m above the ground and traveling at 5.0 m/s. It reaches a maximum height of 3.0m above the ground and then falls to the ground. Assume that air resistance is negligible. a. What is the potential energy of the ball as it leaves the hands relative to the ground? b. What is the kinetic energy of the ball as it leaves the hands? c. What is the total mechanical energy (kinetic plus potential) of the ball as it left the hands? 1.200 d. What is the total mechanical energy of the shot JUST as it reaches its maximum height? e. What is the potential energy of the shot just as it reaches its maximum height? f. What is the kinetic energy of the shot just as it reaches its maximum height?

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A particle of mass 1.65 kg moves along the x-axis with a potential energy whose dependence on x is shown in the figure. a. What is the force in the x-direction, in newtons, on this particle at x = 8.0 m? b. If the total mechanical energy of the particle is -6.0J, what is the minimum position the particle can have? c. If the total mechanical energy of the particle is -6.0 J, what is the maximum position the particle can have? d. If the total energy is 14 J, what is the speed of the particle at x = 8.0 m?