A 50 kg woman, riding on a 10 kg cart, is moving east at 5.0 m/s. The woman jumps off the cart and hits the ground running at 7.0 m/s, eastward, relative to the ground. Calculate the velocity of the cart after she jumps off.

A truck (M = 2500kg) collides with a car (m = 1000kg) at a 4-way intersection. Fortunately nobody gets hurt. Suppose the car is going north at 20m/s ( about 45mph) and the truck is coming from the east at 10m/s ( about 22mph). The car and truck stick together after the %3D collision. (a) Find the speed and direction of the car and truck immediately after the collision. (b) Approximately how much energy went into the deformation of the metal that caused the two vehicles to stick together? (c) What assumptions did you make? The

1. A hose sprays water into a train car. The hose is fixed in place and directed along the tracks, and the train car can move along the tracks without friction. The hose sprays water at a fixed rate a ([a] =MT-1) and speed v; the mass of the empty car is M. If the train car starts empty and at rest at t = 0, what is its speed at time t?

6. A watermelon explodes into three equal masses. One mass moves east at 15.0 m/s. If a second mass moves at a velocity of 10.0 m/s 45.0° S of E, what is the velocity of the third mass? (Hint: the total momentum is zero, so how will your vector arrows add up?)

1. For the purposes of this problem make sure you remember that the positive x direction is to the right. A 0.500 kg crash cart was rolling to the left at &; = -1.00 m/s. It was hit with a rubber hammer. Just afterwards the cart was rolling to the right with Uf = +2.50 m/s. The hammer was in contact with the cart for only 5.00 milliseconds. Remember to specify the direction in your answers as either postive or negative. (a) What is the change in momentum, Ap, for the cart? (b) What is the Impulse, I, applied by the hammer to the cart? (c) What is the average force, F, applied by the hammer to the cart? +x X+ Vf +X

4. The magnitude and direction of the velocities of two identical A frictionless balls before they strike each other are as shown. m m Assuming e = 0.8, determine the magnitude and direction of the velocity of each ball after the impact. 30 60° VA =9 m/s VB = 12 m/s

2. A villain with mass 65.0 kg runs at a velocity of 9.26 m/s directly into Chuck Norris' fist moving at a speed of 0.150 m/s. The villain is knocked back at a velocity of 8.52 m/s and angle 20.0° from the horizontal, while Chuck Norris' fist moves at a velocity of 0.0745 m/s and 10.0° from the horizontal. a. What is the mass of Chuck Norris' fist in kg? b. How much kinetic energy is lost in the collision? Vii † Note: This is a silly problem with silly answers! 20° 10°

1. A 32.00kg child runs with a speed of 6.00m and jumps onto a 20.00kg sled initially at rest on a flat bed of snow (no friction). What is the resultant speed of the child and sled after the child is atop the sled? S m S 2. The child-sled combo travel at velocity 12.00 and collide with a large snow bank, coming to rest after a 0.37s collision. What is the magnitude of the average force exerted on the child-sled combo by the snow bank during the collision? O 1037.84 N 518.59 N 1686.49 N 648.65 N m S

Identical twins, each with mass 62.0 kg, are on ice skates and at rest on a frozen lake, which may be taken as frictionless. Twin A is carrying a backpack of mass 12.0 kg. She throws it horizontally at 2.80 m/s to Twin B. Neglecting any gravity effects, what are the subsequent speeds of Twin A and Twin B? Twin A     m/s Twin B     m/s

2. It is well known that bullets and other missiles fired at Superman simply bounce off his chest. Suppose that a gangster sprays Superman's chest with 9 g bullets at the rate of 110 bullets/min, the speed of each bullet being 600 m/s. Suppose too that the bullets rebound straight back with no change in speed. What is the magnitude of the average force on Superman's chest from the stream of bullets?