1)How fast do you need to swing a 170-gg ball at the end of a string in a horizontal circle of 0.60-mm radius so that the string makes a 40 ∘∘ angle relative to the horizontal?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
Section: Chapter Questions
Problem 46PQ: In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A...
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1)How fast do you need to swing a 170-gg ball at the end of a string in a horizontal circle of 0.60-mm radius so that the string makes a 40 ∘∘ angle relative to the horizontal?

2)Suppose that Earth rotated much faster on its axis-so fast that people were almost weightless when at Earth's surface. How long would the length of a day be on this new Earth? Assume that rE = 6.37×10^6m is the radius of Earth.

3a)You are fixing a broken rotary lawn mower. The blades on the mower turn 60 times per second.

3b) What is the magnitude of the force needed to hold the outer 2 cm of the blade to the inner portion of the blade? The outer edge of the blade is 21cm from the center of the blade, and the mass of the outer portion is 7.5 g. Even though the blade is 21cm long, the last 2cm should be treated as if they were at a point 20cm from the center of rotation.

 
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