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 +/- 109 A room's temperature is 20 degrees C. The pressure on the barometer states it is at 109KPa. The room is 20m by 20m by 5m. Find the number of moles of gas that are in the room. Answer in kilomoles and to two decimal places. Answer 89.49 Answer range +/- 0.1 10. A piece of glass is 1.5m by 2m that is 2.4cm thick. One side is exposed to a room at 18 degrees Celsius, the other is exposed to the outside air at 28 degrees Celsius. Thermal conductivity of glass is 0.8 Find the time it takes for the glass to allow 36,000 Joules of heat to enter the room. Answer 36 seconds. 11. A cube with dimensions of 10cm per side has a mass of 720g. It is placed in a liquid of density 900Kg/m3 Find how far below the liquid line the bottom the cube is. Answer in cm and to two decimal places. Answer 8 Answer range +/- 0.1 12. Water flows through a pipe on the ground with a pressure of 300KPa with a velocity of 3 m/s, it then travels up to a height of 10 meters where it has a velocity of 1.5m/s. Water has a density of 1000kg/m3. Find the pressure of the water in KPa at the final height. Answer 205.375KPa 13. A mass of 4Kg is attached to a spring that is stretched and released. The block takes (pi/2) seconds for one full oscillation. Find the value of the spring constant necessary for this to be true. Answer in N/m and to two decimal places. Answer 64 Answer range +/- 0.11. At the start of a race, Racer A has a velocity of 5m/s and starts at 6m with no acceleration. Racer B has an initial velocity of 2.5m/s and starts at Om with an acceleration of 0.5 m/s2. Find the time it takes for Racer B to catch up to Racer A. Answer in seconds. Answer 12 Answer range +/- 0.1 2. The cannon's maximum launch angle is 15 degrees and has a maximum range of 490m. If the cannon is placed on top of a castle's tower that is 15m tall. Find the highest point above the ground the cannon ball can reach before it impacts the ground. Answer in meters and to two decimal places. Answer 47.82 Answer range +/- 0.1 3. A Block is placed on an incline plane that has a coefficient of kinetic friction of 0.25 at an incline of 22 degrees. If the block is released from rest, find the velocity of the block after 4 seconds. Answer in m/s to two decimal places. Answer 5.6 Answer range +/- 0.1 4. A car travels around and unbanked curve with a radius of 100m at a velocity of 21m/s. If the car just safely travels around the curve without slipping. Find the coefficient of static friction between the road and the tires of the car. Answer to two decimal places. Answer 0.45 Answer range +/- 0.01