11. In order to load a lawnmower into a trailer, Randall is using a ramp. Due to friction, the ramp is 74% efficient. If it requires 3400 J of work to raise the mower into the trailer, how much work will Randall have to do? O 2500 J O 4600 J O 9300 J O 5100 J5. Janine is pushing a 55 kg cart. She pushes with a force of 28 N, and increases the cart's velocity from O to 2.1 m/s. How long did Janine apply the force for to achieve this change in velocity? 6. Ethan and Ellie are both driving in the same direction. Ethan is driving a 1245 kg car at a velocity of 15.5 m/s. If Ellie's car has a mass of 1620 kg, how fast must she travel to have an equal momentum as Ethan? O 12.4 m/s O 10.6 m/s O 18.9 m/s O 11.9 m/s2. A bus driver is turning the steering wheel of the bus. They pull with a 5.1 N force, exerted perpendicular to the lever arm. The radius of the steering wheel is 35 cm. How much torque did the driver exert on the steering wheel? O 6.9 Nm 0 180 Nm Q 0.44 Nm 1.8 Nm 8. Collette is twisting a screwdriver. The scredriver has a handle with a radius of 18 mm. If she is exerting a force of 14 N, how much torque is she causing? 7. A conveyor belt increases the speed of a 14 kg package from rest to 6 m/s. This acceleration occured over a period of 3.5 seconds. How much power did the conveyor produce? 9. Two shipping packages are sliding down a smooth table, in the positive direction. Package A has a mass of 12 kg, and a velocity of 6 m/s. Package B has a mass of 8 kg, and a velocity of 10 mfs. if the packages were to collide, which of the following sets of velocities would conserve momentum? O a = /:'m/s,1,rB> = 20 m/s 0 a=Om/s,v1= 1-4me 0 a=2mfs,vB}:16mfs O a = lme,vB}:6m/s \f12. Diamond is using a wheel and axle system to pull lift a 930 N weight. The wheel and axle gives her a mechanical advantage of 5.1. How much force will Diamond need to exert in order to lift the weight? 10. In order to lift an engine out of a car, mechanics will often use a pulley system. In one instance, the pulley system allows the mechanic to move a 2270 N engine with an applied force of 205 N. What is the mechanical advantage of this pulley system? 3. Two train cars are about to link together. Car A has a mass of 76, 000 kg, and is traveling north at a speed of 0.55 m/s. Car B has a mass of 33, 000 kg, and is traveling south at a speed of 1.9 m/s. After they connect, what will be the velocity of the combined unit? O 1.2 m/s 0 0.019 m/s O 0.96 m/s O 0.21 m/s 4. .Janessa, who has a mass of 77.1 kg, and Catherine, who has a mass of 68.0 kg, are in a pool, standing still, and each pushes the other away. Right as they push away from one another, Janessa travels in the positive y-direction at a speed of1.22 m/s. What is Catherine's velocity as they push away from each other? O 1.38 m/s 0 1.38 m/s O 1.22. m/s 0 1.22 m/s