Two objects with masses of 3.10 kg and 5.40 kg are connected by a light string t

Question

Two objects with masses of 3.10 kg and 5.40 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. (a) Determine the tension in the string. (Enter the magnitude only.) N (b) Determine the acceleration of each object. (Enter the magnitude only.) Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 100%. m/s2 (c) Determine the distance each object will move in the first second of motion if both objects start from rest. m

Explanation / Answer

acceleration = m1-m2)*g/(m1+m2)

acceleration = (5.4-3.1)*9.8/5.4+3.1 = 2.6517 m/s^2

m1g - T = m1*a

T = m1(g-a) = 5.4*(9.8-2.6517) = 38.6 N

tension = 38.6 N

acceleration = 2.6517 m/s^2

s = ut+1/2at^2

s = 0.5*2.6517*1^2 = 1.326 m

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