posted by Elisa on .
1. It has been suggested that rotating cylinders about 11 mi long and 5.2 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth?
2. If the torque required to loosen a nut that is holding a flat tire in place on a car has a magnitude of 52.0 N·m, what minimum force must be exerted by the mechanic at the end of a 37.0 cm lug wrench to accomplish the task?
3. A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are placed on the table as follows: a 9.0 kg object at the origin of the coordinate system, a 10.0 kg object at (0, 2.0), and a 17.0 kg object at (4.0, 0). Find the resultant gravitational force exerted by the other two objects on the object at the origin.
We will be happy to critique your work after you have shown some effort.
1. the length does not matter
2. Torque = force * (lever arm)
3. Compute the forces between each the origin object and each of the other two, and add them vectorially. Use Newton's universal law of gravitation