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# PS1 - GE 208 K Problem Set 1 1 A solid cube of...

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GE 208 K Problem Set 1 1. A solid cube of aluminum (density 2.70 g/cm 3 ) has a volume of 0.200 cm 3 . It is known that 27.0g of aluminum contains 6.02 x 10 23 atoms. How many aluminum atoms are contained in the cube? 2. Suppose we are told that the acceleration a of a particle moving with uniform speed v in a circle of radius r is proportional to some power of r, say r n , and some power of v, say v m . Determine the values of n and m and write the simplest form of an equation for the acceleration. 3. On an interstate highway in a rural region of Wyoming, a car is traveling at a speed of 38.0 m/s. Is this car exceeding the speed limit of 75.0 mi/h? 4. A carpet is to be installed in a room whose length is measured to be 12.71 m and whose width is measured to be 3.46 m. Find the area of the room and round it to the correct number of significant digits. 5. Newton’s law of universal gravitation is represented by F = GMm r 2 Here F is the magnitude of the gravitational force exerted by one small object on another, M and m

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