1. A 50.0 kg diver steps off a 10.0 m high diving board and drops straight down to rest 5.0 m below the surface of the water, determine the average resistance force excried on the diver by the 2. In a circus performance, a monkey on a sled is given an initial speed of 4.0 m/s up a 25" incline. The combined mass of the monkey and the sled is 20 0 kg, and the coefficient of kinetic friction between the sled and the incline is 0.20. How far up the incline down the sled move? 3. A 98.0 N grocery cart is pushed 12.0 m along in aisle by a shopper who exerts a constant horizontal force of 40 0 N. If all frictional forces we neglected and the cart starts from rest, what is the grocery cart's final speed? 4. Starting from rest, a 65.0 kg block slides 7.0 m down a rough 25" incline in 6.0 seconds. Determine the following: ") the work done by the force of gravity. b) the mechanical energy lost due to friction. c) the work done by the normal force between the block and the incline. 5. A 5500 kg car requires 8.0 kJ of work to move from rest to some final speed. During this time, the car moves 40.0 m. Neglecting friction, find the following a) the final spend of the car. b) the borinonal force exerted on the car. 6. Surting from rest, a 20.0 kg subcase slides 4.00 m down a frictionless ramp inclined at 30.0' from the floor. The muhcase then slides an additional 7.00 m along the floor before coming to a stop. Determine the following: ") the speed of the salicase at the bottom of the ramp. by the coefficient of friction between the suitcase and the floor. c) the mechanical energy lost due to friction. 7. A projectile of mans 8.0 kg is shot horizontally with an initial speed of 27 0 m's from a height of 25.0 m above a Eat desert surface. For the instant before the projectile hit the surface, calculate the following quantities: ") the work done on the projectile by gravity. b) the change in kinetic energy since the projectile was fired. c) the final kinetic energy of the projectile. d) the final speed of the projectile. 8. A particle of mans 450 g starts at rest and slides down a frictionless track, an shown. It leaves the track horizontally, striking the ground. 4) At whit height above the ground does the bull start to move ()? b) What is the ball's velocity when it leaves the track (vaJT () What is the ball's velocity when it hits the ground (will 9. A 15.0 kg crite is pulled up a rough incline with an initial pood of 2 5 ma's. The pulling force is 150 N parallel to the incling, which makes an angle of 15" with the boriacetal. The coefficient of kinetic friction is 0.40 and the crate is pulled a distance of 8.0 m. Find the following: ") the work done by the Earth's gravity on the crate 1 the work done by the force of friction on the crane. () the work done by the peller on the crate. the change in kinetic energy of the ores ") the speed of the crate after it is pulled 8.0 m. 10. A bird is flying with a speed of 20.0 m/s over water when in accidentally drops a 3,00 kg fish. The altitude of the bird in 5.50 m. What is the speed of the fish when it hits the water in the absence of friction