Two objects with masses of m 1 = 2.70 kg and m 2 = 5.70 kg are connected by a li

Question

Two objects with masses of m1 = 2.70 kg and m2 = 5.70 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 m1 = 2.70 kg and m2 = 5.70 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

Explanation / Answer

m2g - T = m2a ---- (1)

T - m1g = m1a ---- (2)

adding eq 1 and 2

a = [(m2-m1)/(m1+m2)]*g

a = [ (5.7-2.7) / (5.7+2.7)]*9.8

a = 3.5m/s^2

a) T - m1g = m1a

T = m1(g+a)

T = 2.7*(9.8+3.5) = 35.91 N

b) acceleration a = 3.5 m/s^2

c) distance moved in 1 second

h = 0.5*at^2

h = 0.5*3.5*1^2 = 1.75 m

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