5. A flywheel of mass 100 Kg and a radius of 1.5m is rotating at a rate of 300 rad/sec when a torque of - 450Nm is applied. Find the angle theta that the disk rotates through before coming to a rest. Answer in radians. 6. Three blocks are on a frictionless surface. Block A is half the mass of Block B. Block C has three times the mass of Block A. Block A has an initial velocity of 6m/s to the right and strikes Block B that is at rest. The two blocks stick together and travel on and strike Block C that has an initial velocity of 4m/s to the left. After the all three blocks are stuck together, find their final velocity. Answer in m/s to two decimal places. Answer -0.5 Answer range +/- 0.01 7. A roller coaster cart of mass 500Kg is traveling with a velocity of 30m/s at the top of a hill 30m in height. The car later has a loss of energy of 29KJ. Find the maximum height of a hill the car could get to the top of and come to a complete stop after it has lost the energy. Answer in meters to two decimal places. Answer 70 Answer range +/- 0.1 8. A 5Kg vat of material has a specific heat of 2.5 KJ/(Kg*C) and latent heat of fusion of 880 KJ/Kg. If the block starts at 250 degrees C(it's melting point) as a liquid and cools to 50 degrees C. Find the total heat that is lost as the material cools down. Answer in KJ and to two decimal places. Answer -6,900 Answer range +/- 10