Please show all your work and include units! M 1. A physics student sets up an experiment to m vy investigate the nature of projectile motion. A steel = . bullet of mass 0.05 kg is fired into a block of mass 9.95 kg. They stick together and move horizontally off the edge of a table (height = 5 m), landing a h horizontal distance of 2 m from the launch point. Air resistance is negligible. You may use g = 10 m/s". a) Use the data to calculate the velocity of the block/bullet combo just after the collision. b) Find the initial velocity of the bullet. c) If the experiment were repeated with a rubber bullet with the same mass and initial velocity, tell if the block's A) final horizontal velocity and B) final vertical velocity would be more or less than before. Explain. 2. In a second experiment, a cart (M = 0.25 kg) on a frictionless track is launched from a spring with spring constant k = 100 N/m and initial compression 0.2 m. The cart rolls around a curve with radius R = 0.5 m. At point B, the cart rolls onto a section of track with friction and slows to a stop 3 m from point B. The pictured heights are h, = 2.4 m and h, = 1.4 m. You may use g = 10 m/s% a) Find the welocity of the cart at point A b) Draw a free-body diagram for the cart at point A, and find the normal force that acts on it. c) Draw a free-body diagram for the cart once it reaches the region with friction, and find the coefficient of kinetic friction in this region