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My Porsche
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Sorry, this isn't exactly homework per se, but I am asking someone to prom using physics problems whose answers correlate to the letters "PROM COLIN" and was hoping I could have you guys double check my work here. So far I've only made up the first four. I'm in AP Physics C and she is in B, so I decided to go with the lesson they are just finishing up, circular motion and universal gravitation. Please let me know what you get here, the answers should be (rounding to whole numbers) 16, 18, 15, 13. Thanks.
Relevant equations
F = M * Ac
Ac = (V^2) / r
V = ( 2 (pi) r ) / t
F = G*M*M/R
G = 6.67e-11
1. A tetherball’s initial horizontal circle rotation of its pole has a period of 11.17 seconds and it rotates with a velocity of 9 meters per second. Find the radius of the tetherball’s rope.
2. A small child in a Radio Flyer red wagon goes through a constant radius turn whose radius is 10 meters. The child moves with a velocity of 5 meters per second and a centripetal force of 45 Newtons. What is the mass of the child?
3. A 1 kilogram bucket of water is attached to a string of radius 2 meters and rotated in a vertical circle with a velocity of 7.043 meters per second. What is the tension in the string at the top of the circle?
4. Two extremely obese men who resemble giant spheres are sitting on two different benches in the mall enjoying ice cream sundaes. Both men weigh 882,955.38 kilograms (they were VERY fat) and they are sitting 2 meters apart. What is the gravitational force between them?
Relevant equations
F = M * Ac
Ac = (V^2) / r
V = ( 2 (pi) r ) / t
F = G*M*M/R
G = 6.67e-11