Two objects with masses of 3.90 kg and 6.20 kg are connected by a light string t

Question

Two objects with masses of 3.90 kg and 6.20 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. (The figure shows a pulley with the two objects on opposite sides hanging vertically) (a) Determine the tension in the string. (Enter the magnitude only.) (b) Determine the acceleration of each object. (Enter the magnitude only.) 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

lets write the equations: m1a=T-m1g; m2a=m2g-T. both have the same a and same T. --> m1a+m2a=m2g-m1g --> a=g(m2-m1)/(m1+m2)=2.23 m/sec^2 --> T=m1(a+g)=46.92 N --> y=at^2/2=2.23/2=1.115 m

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