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7.) Matt Damon spends his spare time as a janitor solving math problems at MIT. He asks you to help move a heavy crate full of potatoes with a mass of 57 kg across a horizontal floor. You both start pushing, but nothing happens. Matt yells at you for being wicked weak, and you push harder. Being good physicists, you happen to have your force meter with you. You notice the crate just starts to move when your force is greater than 331 N. After that its much easier; to move the crate at a constant 20.0 cm/s you reduce your push to 248 N a. Find BOTH the coefficients of static and kinetic friction b. With what force must you push to accelerate the crate by 1.22 m/s?? c. Later, you, Matt, and the crate are stranded on Mars, where the acceleration due to gravity is 3.75 m/s2. You are located on the slope of Olympus Mons (a Martian volcano) where the surface is sloped at an angle of 15°. Assuming the coefficients are the same as found in part a, what force is necessary to just get the crate moving up the slope?
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