Determine (a) the speed with which the train needs to travel on a curved section of the track if the magnitude of the side force to be felt by a passenger of weight � in a standard car with no tilt is 0.20�, (b) the required angle of tilt � if the passenger is to feel no side force when the train is traveling at 180 km/h. Notice that a side force is defined here as a force that is parallel to the floor of the car; and the rated speed of a curved section of track is defined as the speed at which a train should travel if no lateral friction force is to be exerted on its wheels.

Water at room temperature of 20.0°c is poured into an aluminum cylinder which has graduation markings etched on the inside. the reading in the graduations is 300.0 cc. the cylinder with the water in it is then immersed in a constant temperature bath at a temperature of 100°c. what is the reading for the level of water on the graduations of the cylinder after the water and the cylinder reach thermal equilibrium with the bath? the volume coefficient of expansion of water is 2.07 x 10^-4 k-1, and the linear coefficient of expansion of aluminum is 23.0 x 10^-6 k-1. a) 305.0 cc b) 304.0 cc c) 303.5 cc d) 303.3 cc e) 304.5 cc

One day, after pulling down your window shade, you notice that sunlight is passing through a pinhole in the shade and making a small patch of light on the far wall. you see that the patch of light seems to be a circular diffraction pattern. it appears that the central maximum is about 1 cm across and you estimate that the distance from the window shade to the wall is about 3 m. what is (a) the average wavelength of sunlight? (b) the diameter of the pinhole?

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