Two objects with masses of 3.90 kg and 6.40 kg are connected by a light string t

Question

Two objects with masses of 3.90 kg and 6.40 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.)
       m/s2

    
    (c) Determine the distance each object will move in the first second of motion if both objects start from rest.
                                 m              

Two objects with masses of 3.90 kg and 6.40 kg are connected by a light string that passes over a frictionless pulley, as in the figure below.

Explanation / Answer

b) 6.40g - T = 6.40a

T - 3.90g =3.90a

6.4g - 3.9g = (6.4 +3.9)a

a = 2.38 m/s2

a) T = 3.90 x (g + 2.38) =47.50 N

c) d =at^2 /2   = 2.38 x 1^2 /2 = 1.19 m

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