TEST #5

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PHYS 2100-A TEST 5 1. (10) An astronaut with a mass of 85.0 kg on a spacewalk. There is, of course, no friction or air resistance. The tether to the spacecraft breaks, so she has to find an alternate method to return. Starting from rest with the spacecraft to her left, she throws a toolbox with a mass of 8.45 kg to the right, giving it a velocity of 3.26 m/s. What will be the final velocity of the astronaut? 2. (15) When hit by a gold club, a gold ball with a mass of 45.9 kg at rest is accelerated to 66.2 m/s in a time of 47.0 ms. What is the average force of the club during the impact? 3. (15) A block with a mass of 50.0 g is sliding on frictionless ice with an initial velocity of - 2.50 m/s. An arrow with a mass of 27.54 g is fired to the right directly into the block, remaining stuck in the block. They move together with a velocity of 28.6 m/s. What was the initial velocity of the arrow? 4. (15) A wheel rotates at a constant rate of 2,000rpm. (a) What is its angular velocity in radians per second? (b) Through what angle (in radians) does it turn in 10.0 s? (c) Convert the solution in part (b) to degrees.

5. (10) Two flywheels of negligible mass and different radii are bonded together and rotate about a common axis (see below). The smaller flywheel of radius 25 cm has a cord that has a pulling force of 50 N on it. What pulling force needs to be applied to the cord connecting the larger flywheel of radius 40 cm such that the combination does not rotate? 6. (15) A uniform piece of sheet steel is cut to the shape shown below. Each side of the squares is 6.0 cm. (a) Compute the x and y coordinates of the center of mass. (b) Mark the center of mass on the picture below.

Multiple Choice. Circle the letter of your choice. 7. (5) An object with small mass and an object with large mass have the same momentum. Which object has the larger kinetic energy? a) The larger object b) The smaller object c) They will have the same kinetic energy 8. (5) A thin rod 1.00 m long is uniform and has a mass of 0.800 kg. The rod passes through a short, uniform cylinder with a mass of 1.20 kg with the cylinder center 25 cm from the left end of the rod. Measuring from the left end of the rod, the center of mass of the combined rod and cylinder would be __________ a) Between 0.0 cm and 25 cm b) Between 25.1 cm and 50 cm c) Between 50.1 cm and 75 cm d) Between 75.1 cm and 100 cm e) None of the above 9. (5) All the forces illustrated below as arrows are of equal magnitude. List below torque examples in the order of increasing torque. In other words, from least torque to max torque. a) 1, 2, 3 b) 3, 2, 1 c) 2, 3, 1 d) 2, 1, 3

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10. (5) An empty coal car is coasting along a section of track with an initial velocity of 1.00 m/s. Assume there is no friction slowing the coal car. As it passes under a chute, coal drops straight down into the car, filling it Once full, the final velocity of the coal car will be _________ a) 1.00 m/s b) 0.00 m/s (it comes to rest) c) between 0.00 m/s and 1.00 m/s d) Greater than 1.00 m/s e) Not enough data ---------------------------------------------------------------------------------------------------------------- 11. (10 Extra Credit) Two cars of the same mass approach an extremely icy, four-way perpendicular intersection. Car A travels northbound at 25 m/s and Car B is traveling eastward. They collide and stick together traveling 28° north of east. What was the initial speed of Car B?

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