Can these please be solved on paper with a step by step explanation and a body diagram when necessary 1) a. 50.5m/sb. 7781 Nc. 72.5 m2)a. 5.11 m/sb. 4.28 m/s3) 10.2m

1) You and your posse are riding a roller coaster with no friction The first tall peak is 140 m high which is followed by a valley that is 10 m high with a radius of curvature of 12 m. The next peak is 60 m high with a radius of curvature 25 m. (a) If the car just barely starts from rest at the first tall peak, what is the velocity of the car at the bottom of the valley? (b) How hard is the car seat pushing up on you? (You have a mass of 35 kg.) (You don't have to use energy methods for this one. (c) What would be the required height of the first tall peak in order for the car, at the 60 m high peak, just barely not to fly of the track like the Dukes of Hazzard? 7 (2) Two masses, m, = 10 kg and my = 20 kg, are connected by a string that passes over a pulley as shown below. The system is released from rest. (a) If the surface of the table is frictionless, calculate the velocity of the blocks after they have moved 2 m. (b) Now, the surface has coefficients of static and kinetic friction of 0.9 and 0.6, respectively, Calculate the velocity of the blocks after they have moved 2 m. 9 2 3) )A block of mass 0.25 kg is placed on a vertical spring of constant 5 x 10' N/m. The block is pushed down in order to compresses the spring 0.1 m. The block is released from this position. It is forced upwards and eventually leaves the spring and continues traveling up. Calculate the maximum height above the point of release that the block will achieve