1.) A boy weighing 445N swings on a 2-m long swing. If his horizontal speed at the lowest point is 3m/s, what total force must the ropes holding the swing be able to withstand?

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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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1.) A boy weighing 445N swings on a 2-m long swing. If his horizontal speed at the lowest point is 3m/s, what total force must the ropes holding the swing be able to withstand? 2.) A 200-gram ball is whirled around in a horizontal circle at the end of a string 1000cm long. What is the highest speed the object can have I'd the string has a breaking point of 4N 3.) A 1000-g ball is tied to a strong 60cm long and is whirled in a vertical circle at 1 revolution per second. If the tension at the highest point is zero, what is the speed of the body at the highest point? 4.) A body is moving along a circular path of radius 2.86m. If the centripetal force on the body is three times it weight, find period of the motion. 5. A curve along the highway is to be designed for cars moving at 100kilometers per hour. Find the angle of banking I the radius of.the curve is 200m. 6.) You are working as a delivery person for a dairy store. In the back of your pick-up truck is a crate of eggs. The dairy company has run out of bungee cords, so the crate is not tied down. You have been told to drive carefully because the coefficient static friction between crate and the bed of the truck is 0.6. You are not worried, because you are traveling on a road that appears perfectly straight. Due to your confidence and inattention, your speed has crept upward to 45miles per hour. Suddenly you see a curve ahead with warning sign saying, "danger: unbanked curve with radius of curvature 35m". You are 15m from the beginning of the curve. What can you do to save the eggs : (a) take the curve at 45mi/h. (b) brake to a stop before entering the curve to think about it. (c) slow down to take the curve at a slower speed? Discuss these options and determine if there is a best course of action.
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