3. A crate is pushed in the positive direction along a rough, horizontal surface with a force F that makes an angle e 45.00 below the horizontal. The magnitude of the force applied is F-200. N. The mass of the crate is m 30.0 kg. The coefficient of kinetic friction between the crate and the surface is 0.300 45° a) Draw a clearly labeled free-body diagram for the crate. Carefully identifying the origin of each force. (example: Fe (Earth pulling block)) FN 294141 = 435 N FN: Surface on crate Fr: String on crate FG: Earth on crate FK: Surface on crate Ex 200cos45 =141 N FK UKFN 130.5 N 450 FG=mg 30x9.8 = 294 Use 3 significant figures! F Ex=200sin45 =141 N b) Find the acceleration of the crate EFy 0FN = mg + Fsin45° = 294 + 141 = 435 N EFx Fcos450 - Fk 200 cos450 - 0.300*435 = 141 130.5 = 10.5 N EFx ma a = EFx /m = 10.5 /30.0 = 0.350 m/s2

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Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.