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1. A 0.5kg cup of water is swung around in a vertical circle just fast enough so the water can't fall out. a) What's the least amount of acceleration this water and cup would have on them? b) If the string tied to the cup is 0.6m long, what would the velocity of the cup and water have to be in order to have this acceleration? c) What force would the string have to apply to the cup to get this to happen?

1. A 0.5kg cup of water is swung around in a vertical circle just fast enough so the water can't fall out. a) What's the least amount of acceleration this water and cup would have on them? b) If the string tied to the cup is 0.6m long, what would the velocity of the cup and water have to be in order to have this acceleration? c) What force would the string have to apply to the cup to get this to happen?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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please answer all of the questions in the imagine I submitted. thank you!

**Circular Motion 1: Physics Phor Phun** **Directions:** Answer the following questions as best you can. 1. A 0.5kg cup of water is swung around in a vertical circle just fast enough so the water can't fall out. a) What's the least amount of acceleration this water and cup would have on them? b) If the string tied to the cup is 0.6m long, what would the velocity of the cup and water have to be in order to have this acceleration? c) What force would the string have to apply to the cup to get this to happen? 2. A space station *(looking like a space donut)* has a radius of 50m. What would its velocity have to be in order to simulate the Earth's gravity? b) How long would it take for the space station to make one complete rotation at that speed? 3. Presently the weight of an object is more than enough to keep something from "falling off" the surface of the Earth. If the Earth has a radius of 6,400,000m, how fast would something have to go *(or the Earth have to spin)* in order to no longer be kept in the circular path around the center of the Earth? *(You can pick the mass of any object you want.)* --- ©1998 Science Joy Wagon Page 87
Transcribed Image Text:**Circular Motion 1: Physics Phor Phun** **Directions:** Answer the following questions as best you can. 1. A 0.5kg cup of water is swung around in a vertical circle just fast enough so the water can't fall out. a) What's the least amount of acceleration this water and cup would have on them? b) If the string tied to the cup is 0.6m long, what would the velocity of the cup and water have to be in order to have this acceleration? c) What force would the string have to apply to the cup to get this to happen? 2. A space station *(looking like a space donut)* has a radius of 50m. What would its velocity have to be in order to simulate the Earth's gravity? b) How long would it take for the space station to make one complete rotation at that speed? 3. Presently the weight of an object is more than enough to keep something from "falling off" the surface of the Earth. If the Earth has a radius of 6,400,000m, how fast would something have to go *(or the Earth have to spin)* in order to no longer be kept in the circular path around the center of the Earth? *(You can pick the mass of any object you want.)* --- ©1998 Science Joy Wagon Page 87
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