Be sure to show your work clearly and the equations you are…
Be sure to show your work clearly and the equations you are using to solve each problem. All final answers should have the proper number of significant figures and include appropriate units. Additional equalities you may need (12 in= 1 ft. 2.54 cm= 1 in. 1 ft= 0.305 m) 1) Two College Hunks movers are moving a 271 kg piano for a family. Their truck has an aluminum ramp that is 14.0 feet long and 29.0 inches high. The piano has steel wheels that are locked so the wheels cannot roll and the coefficient of kinetic friction between the locked steel wheels and the aluminum ramp is 0.47. (Hint: After working out the values, be sure to check your force diagram and be sure forces are pointing in the correct directions) a) Draw labeled free body diagram for the piano on the aluminum ramp. Label all forces and component forces acting on the piano. b) What force must be applied by the movers to keep the piano moving down the ramp at a constant velocity of 0.350 m/s? c) How much work is done by friction in moving the piano down the ramp? 2) A spring loaded ball launcher is set on a table 175 cm high. The students are trying to get a 35.0 g ball to land in the box a distance, d, away from the edge of the table. The box is set on the floor at d=85.0 cm, the spring constant of the ball launcher is 45 N/m and the spring is compressed 8.00 cm. a. Where will the ball to land when it is launched horizontally? b. Is the shot successful? If not explain at least two ways the set up could be modified to allow success. 3) A family is vacationing in the Bahamas and the dad blows up a 0.170 kg beach ball so it has a diameter of 40.64 cm. The beach ball is a perfect sphere after it is blown up and is held underwater in a salt water pool by the dad. (Assume the beach ball is filled with air and the salinity of the pool is the same as seawater) a) Draw a force diagram for the beach ball when it being held under the water’s surface. b) What force does the dad have to exert on the beach ball to hold it under the water? c) What is the acceleration of the beach ball when the dad releases it? d) Look at the force you calculated that the dad has to exert on the beach ball. Is this practical? Explain. 4) A 425 g can of green beans with a diameter of 7.30 cm falls vertically out of a SUV’s trunk from a height of 68.0 cm and rolls down a driveway. When the can hits the ground it has a translational velocity of 3.63 m/s and rolls down the driveway reaching a translational velocity of 5.82 m/s at the bottom. The driveway is a hill 1.5 m high. (Do not consider the movement of the beans and liquid in the can as it rolls or any friction between the can and the driveway) a. Find the final gravitational PE and the final rotational KE. (Be sure to include clear work for your answers) b. What is the angular velocity in rev/min of the can of baked beans when it reaches the bottom of the driveway? 5) A block of iron is heated to 225 degrees Celsius and dropped into 2.00 kg of water at 21.5 degrees C. The water quickly reaches 28.0 degrees Celsius and then remains at that temperature. a. What is the mass of the block of iron? b. What is the new volume of the block after it cools off when placed in the water?
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