1. A roller coaster train of mass 3.0 X 103 kg rolls over a 11.5 m high hill at 8.34 m/s before rolling down into the station. Once in the station, brakes are applied to the train to slow it down to 1.00 m/'s in 5.44 m. - 8.34 m/s Train mass is 3.0 X 103 kg Not to scale 11.5 m STATION YYYYYYYYY 5.44 m L1.00 m/s (a) What braking force slowed the train down? b) How much time did it take to slow the train down? (c) What was the acceleration of the train in g's? 2. A proton (mass = 1.67 x 10*kg) traveling in a particle accelerator at 1 x 10' m/s collides with a helium nucleus, which is at rest. The proton rebounds back at 6.00 x 10" m/s and the helium nucleus jump's forward at 4.00 x 10*m/s. a) Determine the mass of the helium nucleus. b) What impulse does the proton experience due to the collision