1D03 Physics (Fall 2008), set #11
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Units Metric Prefixes Constants namsm Set 11, Due Mon, Nov 24, 2008 at 13:00 Go to problem [1][2][3][4][5][6][7][8][9][10][11][12] 1-12 Status: Y Y Y Y Y Y Y Y Y Y Y Y
1. [1 point, 10 tries] A car tire is 64.8 cm in diameter. The car is travelling at a speed of 19.5 m/s. What is the tire's rotation frequency, in rpm? (Do not enter a unit with your answer.)
Answer: 5.75e+02
2. [1 point, 10 tries] What is the speed of a point at the top edge of the tire?
Answer: 3.90e+01 m/s
3. [1 point, 10 tries] What is the speed of a point at the bottom edge of the tire?
Answer: 0.0 m/s
4. [1 point, 10 tries] A 7.96 cm diameter, 500.0 g sphere is released from rest at the top of a 2.50 m long, 27.0 incline. It rolls, without slipping, to the bottom. What is the sphere's angular velocity at the bottom of the incline?
Answer: 1.00e+02 rad/s
5. [1 point, 10 tries] What fraction of its kinetic energy is rotational? (Enter your answer in decimal form, do not include a unit.)
Answer: 2.86e-01
6. [1 point, 10 tries] Far out in space, a mass1=123500.0 kg rocket and a mass2= 203500.0 kg rocket are docked at opposite ends of a motionless 93.0 m long connecting tunnel. The tunnel is rigid and has a mass of
10500.0 kg. How far from the 123500.0 kg rocket is the center of mass?
Answer: 5.75e+01 m
7. [1 point, 10 tries] The rockets start their engines simultaneously, each generating 54000.0 N of thrust in opposite directions. What is the structure's angular velocity after 24.0 s?
Answer: 1.79e-01 rad/s
8. [1 point, 10 tries] A 4.59 kg, 58.1 cm diameter rotates disk on an axle passing through one edge. The axle is parallel to the floor. The cylinder is held with the center of mass at the same height as the axle, then released. What is the absolute value of the cylinder's initial angular acceleration?
Answer: 2.25e+01 rad/s^2
9. [1 point, 10 tries] What is the absolute value of the cylinder's angular velocity, in rad/s, when it is directly below the axle?
Answer: 6.71e+00 rad/s
10. [1 point, 10 tries] A ring (hollow cylinder) of mass 2.69 kg, inner radius 7.05 cm, and outer radius 8.45 cm rolls (without slipping) up an inclined plane that makes an angle of =38.4, as shown in the figure below.
At the moment the ring is at position x = 1.86 m up the plane, its speed is 2.83 m/s. The ring continues up the plane for some additional distance and then rolls back down. It does not roll off the top end. How much further up the plane does it go?
Answer: 1.21E+00 m
11. [1 point, 10 tries] A metal can containing condensed mushroom soup has a mass of 236 g, a height of 17.5 cm, and a diameter of 6.31 cm. It is placed at rest on its side at the top of a 2.83 m long incline that is at an angle of 26.0 to the horizontal and is then released to roll straight down. Assuming energy conservation, calculate the moment of inertia of the can if it takes 1.53 s to reach the bottom of the incline.
Answer: 1.83E-04 kg*m^2
12. [1 point, 10 tries] Enter the value of the quantity (if none enter 0) which is unnecessary for calculating the solution.
Answer: 1.75E+01 cm --- Dept. of Physics and Astronomy, McMaster University --- CAPA MSU
Go to problem [1][2][3][4][5][6][7][8][9][10][11][12] 1-12 Status: Y Y Y Y Y Y Y Y Y Y Y Y