2. The centripetal force, F, measured in Newtons acting on an object varies directly as the...

 

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2. The centripetal force, F, measured in Newtons acting on an object varies directly as the square of the speed, v, in meters per second (m/s) and inversely to the radius, r, of its path in meters. a. Write an equation to express the proportionality relationship above, using k as the constant of proportionality. b. If the centripetal force is 100 Newtons when the object is traveling 20 m/s in a path or radius of 2 m, determine the constant of proportionality, k. Round to the nearest tenth. c. Suppose the speed increases to 30 m/s and the path's radius is now 4 m. Determine the centripetal force acting on the object. Round to the nearest tenth. 2. The centripetal force, F, measured in Newtons acting on an object varies directly as the square of the speed, v, in meters per second (m/s) and inversely to the radius, r, of its path in meters. a. Write an equation to express the proportionality relationship above, using k as the constant of proportionality. b. If the centripetal force is 100 Newtons when the object is traveling 20 m/s in a path or radius of 2 m, determine the constant of proportionality, k. Round to the nearest tenth. c. Suppose the speed increases to 30 m/s and the path's radius is now 4 m. Determine the centripetal force acting on the object. Round to the nearest tenth.