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 of 1.22 m/s. What is Catherine's velocity as they push away from each other? -1.22 m/s 1.38 m/s -1.38 m/s 1.22 m/sTwo 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? 1.2 m/s 0.21 m/s O -0.019 m/s 0.96 m/sAn 11.5 g projectile is launched at a velocity of 195 m/s. What is the momentum of the projectile? O 17.0 kg*m/S O 2240 kg*m/S 0.00590 kg*m/S 2.24 kg*m/Sis Jasmine's velocity immediately after the collision? Kayla and Jasmine are sledding down a hill. Kayla, who has a mass of 34 kg and a velocity of 7.9 m/s in the positive direction, is directly behind Jasmine, who has a mass of 27 kg and a velocity of 5.4 m/s in the same direction. When Kayla collides with Jasmine, Kayla's velocity drops to 4.8 m/s. What 8.5 m/s 8.9 m/s 9.3 m/s 7.9 m/sKaren is pulling a 12 kg box out of a closet. If she applies a 120 N force fora period of 2.44 seconds, how much will the box's momentum change in that period? 0 293 kg*m/s O 188 kg*m/s O 49.2 kg*ma's Q 3510 kg*mfs 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? 12.4 m/s O 11.9 m/s O 18.9 m/s 10.6 m/sRebekah is using a pulle).r system to lift a 710 N state 2.4 m off the ground. The pulley system IS 61% efficient. If Rebekah has to exert a force of 13!] N, how much rope will she have to pull to lift the crate? 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? 180 N O 210 N O 930 N O 4700 NTwo people are running south. The first person has a mass of 66 kg, and is running at a speed of 5.1 m/s. The second person has a mass of 74 kg, and is running at a speed of 4.7 m/s. If these two people were to collide, what would their combined momentum be after the collision? 680 kg*m/S O -710 kg*m/s O Cannot be solved with the given information O -680 kg*m/sWhich of the following actions would decrease the torque in a given situation? Increasing the lever arm from 0.33 m to 0.64 m Reducing the angle between the force and lever arm from 110* to 95 Reducing the angle between the force and lever arm from 85 to 65 Increasing the force from 24 N to 35 N4.9 Nm A motor with an arm is attached to a door, so the door can open and close automatically. When the door is opening, the motor pulls with a force of 12 N, at a distance of 0.45 m from the hinge. The angle between the force and the lever arm is 65. How much torque does the motor exert on the door? 2.3 Nm 5.4 Nm 4.0 NmCharles and Anita are out kayaking. Their respective boats are intially next to each other, while they are planning their route. When they are done talking, they each push the other's boat away. What type of collision is this? Elastic collision Inelastic collision This is not a collision Recoil collisionTwo 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 m/s. If the packages were to collide, which of the following sets of velocities would conserve momentum? VA = 10 m/S, UB = 6 m/s vA = 0m/S, VB = 14 m/s VA = 2m/s, UB = 16 m/s VA = -4m/s, UB = 20 m/sA 95 g projectile is launched at a speed of 22 m/s. It strikes a 1.7 kg stationary ball of clay, and becomes embedded in the clay. How fast does the combined projectile-clay unit travel immediately after the collision? 11 m/s 1.2 m/s 21.6 m/s 2.0 m/sJamison is playing pool. He strikes a 170 gram cue ball so that it moves at a velocity of 5.9 m/s in the positive x-direction. The cue ball, in turn, strikes a stationary 160 gram numbered ball so that it travels with a velocity of 5.4 m/s in the positive a-direction. What is the velocity of the cue ball immediately after the collision? -5.9 m/s 0 m/s 0.82 m/s 0.50 m/sClarence is using a lever to lift a rock out of his garden. He performs 965 J of work on the lever, and the lever does 912 J of work on the rock. What is the efficiency of the lever Clarence is using? 94.5% O 1.06% 88.7% 106%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? 5100 J 4600 J 2500 J 9300 JA 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 em. How much lorque did the driver exert an the steering wheel? 3 180 Nm 3 6'9 Nm 3 1.8 Nm :) 0.44 Nm How much work can a 735 W motor perform in a period of 4.91 s? 3610 J 735 J 1930 J 150 JHow long will it take a 4450 W motor to perform 67.4 kJ of work? 11.8 s 15.1 s 43.1 s 66.0 sJanine is pushing a 55 kg cart. She pushes with a force of 28 N, and increases the cart's velocity from 0 to 2.1 m/s. How long did Janine apply the force for to achieve this change in velocity? 3.0 s 4.3 s 1.2 s 1.9 sE. Collette is twisting a screwdriver. The scredriver has a handle with a radius of 18 mm. If she is exerting a force (#14 N, how much torque is she causing? i In order to lift an engine out at 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 M205 N, What is the mechanical advantage at this pulley system? 3 11.1 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? 252 W 144 W 72 W 882 WAn elevator does 286, 000 joules of work in a period of 16.0 seconds. What is the power produced by the elevator's motor? 286, 000 W 4, 580, 000 W 545, 000 W 17, 900 W