Unless otherwise stated, all objects are located near the Earth\'s surface, wher

Question

Unless otherwise stated, all objects are located near the Earth's surface, where = 9.80 . Jane and John, with masses of 45 and 62 , respectively, stand on a frictionless surface 13 apart. John pulls on a rope that connects him to Jane, giving Jane an acceleration of 0.82 toward him. What is the magnitude of the John's acceleration? Express your answer using two significant figures. What is the direction of the John's acceleration? What is the direction of the John's acceleration? away from Jane toward Jane If the pulling force is applied constantly, where will Jane and John meet? Express your answer using two significant figures.

Explanation / Answer

m1a1 = m2a2 a2 = m1a1/m2 = (45 kg)(0.82 m/s^2)/(62 kg) = 0.60 m/s^2 His acceleration is toward Jane Their total acceleration is 0.60 m/s^2 + 0.82 m/s^2 = 1.42 m/s^2 John's acceleration is (0.60 m/s^2)/(1.42 m/s^2) = 42% of the total acceleration, so he will only travel 42% of the distance, which is (13 m)(42%) = 5.5 m

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