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5 ICP-A 1. A 65-kg merry-go-round worker stands on the ride’s platform 5.2-m from the center. If his speed as he goes around the circle is 6.2-m/s, what must be the coefficient of friction between his feet and the platform be? (start by finding Fc and FN). Fc = Ff and Fg= Weight = m*g =Fn 0.75 2. Let us assume that the orbit of the earth around the sun is circular. If the radius of this orbit is 150,000,000km and has a period of 365.25 days; a) Find the tangential velocity of the earth (in m/s). Convert km to m and days to seconds 29,850-m/s b) Find the centripetal acceleration of the earth towards the sun. a = vt2/r 0.006-m/s2 c) If the mass of the earth is 5.97 × 1024 kilograms, find the magnitude of the gravitational force keeping the earth going in the circle. Don’t use Newton’s Law of Universal Gravitation Fg = Fc = m*acx 3.55 1022 N 3. An 8-kg can of paint sits 0.5 meters from the axis of rotation. To balance the can of paint, what force must be applied 1.65-m from the axis? Force of the paint can is m*g Set the two torques equal to one another. 24-N 5 ICP-B 1. A 75-kg merry-go-round worker stands on the ride’s platform 4.8-m from the center. If his speed as he goes around the circle is 6.2-m/s, what must be the coefficient of friction between his feet and the platform be? (start by finding Fc and FN). Fc = Ff and Fg= Weight = m*g =Fn 0.82 2. Let us assume that the orbit of the earth around the sun is circular. If the radius of this orbit is 150,000,000km and has a period of 365.25 days; Convert km to m and days to seconds 29,850-m/s b) Find the centripetal acceleration of the earth towards the sun. a = vt2/r 0.006-m/s2 c) If the mass of the earth is 5.97 × 1024 kilograms, find the magnitude of the gravitational force keeping the earth going in the circle. Don’t use Newton’s Law of Universal Gravitation Fg = Fc = m*acx 3.55 1022 N 3. A 12-kg can of paint sits 0.6 meters from the axis of rotation. To balance the can of paint, what force must be applied 1.65-m from the axis? Force of the paint can is m*g Set the two torques equal to one another. 42.8-N 5 ICP-C 1. A 85-kg merry-go-round worker stands on the ride’s platform 4.4-m from the center. If his speed as he goes around the circle is 6.2-m/s, what must be the coefficient of friction between his feet and the platform be? (start by finding Fc and FN). Fc = Ff and Fg= Weight = m*g =Fn 0.89 2. Let us assume that the orbit of the earth around the sun is circular. If the radius of this orbit is 150,000,000km and has a period of 365.25 days; Convert km to m and days to seconds 29,850-m/s b) Find the centripetal acceleration of the earth towards the sun. a = vt2/r 0.006-m/s2 c) If the mass of the earth is 5.97 × 1024 kilograms, find the magnitude of the gravitational force keeping the earth going in the circle. Don’t use Newton’s Law of Universal Gravitation Fg = Fc = m*acx 3.55 1022 N 3. A 10-kg can of paint sits 0.7 meters from the axis of rotation. To balance the can of paint, what force must be applied 1.65-m from the axis? Force of the paint can is m*g Set the two torques equal to one another. 41.6-N 5 ICP-D 1. A 95-kg merry-go-round worker stands on the ride’s platform 4.2-m from the center. If his speed as he goes around the circle is 6.2-m/s, what must be the coefficient of friction between his feet and the platform be? (start by finding Fc and FN). Fc = Ff and Fg= Weight = m*g =Fn 0.93 2. Let us assume that the orbit of the earth around the sun is circular. If the radius of this orbit is 150,000,000km and has a period of 365.25 days; Convert km to m and days to seconds 29,850-m/s b) Find the centripetal acceleration of the earth towards the sun. a = vt2/r 0.006-m/s2 c) If the mass of the earth is 5.97 × 1024 kilograms, find the magnitude of the gravitational force keeping the earth going in the circle. Don’t use Newton’s Law of Universal Gravitation Fg = Fc = m*acx 3.55 1022 N 3. An 11-kg can of paint sits 0.75 meters from the axis of rotation. To balance the can of paint, what force must be applied 1.65-m from the axis? Force of the paint can is m*g Set the two torques equal to one another. 49-N