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dsandhu
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Hello I am having a lot of difficulty figuring out these last four problems for my homework. if anyone can help me I would greatly appreciate it. My teacher is refusing to help me for some reason. THanks!
1.planet Jupiter is about 320 times as massive as the Earth. Thus, it has been claimed that a person would be crushed by the force of gravity on Jupiter since people can't survive more than a few g's. Use the following astronomical data for Jupiter: mass = 1.9 *10^27 kg, equatorial radius = 7.1 *10^4 km, rotation period 9 hr 55 min. Take the centripetal acceleration into account. Calculate the number of g's a person would experience if she could stand on the equator of Jupiter.
2. A train traveling at a constant speed rounds a curve of radius 325 m. A chandelier suspended from the ceiling swings out to an angle of 20.0° throughout the turn. What is the speed of the train?
3. Lastly , At what minimum speed must a roller coaster be traveling when upside down at the top of a circle if the passengers are not to fall out? Assume a radius of curvature of 9.8 m.
4. Estimate the force a person must exert on a string attached to a 0.170 kg ball to make the ball revolve in a horizontal circle of radious 0.600 m. The ball makes 1.20 revolutions per second. Do not ignore the weight of the ball. In particular, find the magnitude of FT, and the angle it makes with the horizontal. [Hint: Set the horizontal component of FT equal to ma(R); also, since there is no vertical motion, what can you say about the vertical component of FT?]
I would greatly appreciate anyone's help even the slightest.
Thanks
1.planet Jupiter is about 320 times as massive as the Earth. Thus, it has been claimed that a person would be crushed by the force of gravity on Jupiter since people can't survive more than a few g's. Use the following astronomical data for Jupiter: mass = 1.9 *10^27 kg, equatorial radius = 7.1 *10^4 km, rotation period 9 hr 55 min. Take the centripetal acceleration into account. Calculate the number of g's a person would experience if she could stand on the equator of Jupiter.
2. A train traveling at a constant speed rounds a curve of radius 325 m. A chandelier suspended from the ceiling swings out to an angle of 20.0° throughout the turn. What is the speed of the train?
3. Lastly , At what minimum speed must a roller coaster be traveling when upside down at the top of a circle if the passengers are not to fall out? Assume a radius of curvature of 9.8 m.
4. Estimate the force a person must exert on a string attached to a 0.170 kg ball to make the ball revolve in a horizontal circle of radious 0.600 m. The ball makes 1.20 revolutions per second. Do not ignore the weight of the ball. In particular, find the magnitude of FT, and the angle it makes with the horizontal. [Hint: Set the horizontal component of FT equal to ma(R); also, since there is no vertical motion, what can you say about the vertical component of FT?]
I would greatly appreciate anyone's help even the slightest.
Thanks