Assume that the pulley has a negligible mass and is frictionless, and calculate

Question

Assume that the pulley has a negligible mass and is frictionless, and calculate the speed of the blocks after they have moved a distance 52.0 cm.

Use Newton's second law to find the net force acting on both blocks. Since they are connected by a string, they act as one body and have the same acceleration. Review motion in one dimension to determine their speed.

Two blocks with masses m1 = 1.40 kg and m2 = 3.30 kg are connected by a massless string, as shown in the Figure. They are released from rest. The coefficent of kinetic friction between the upper block and the surface is 0.150.

Explanation / Answer

the tension equations are,

3.3g - T = 3.3a

T= 3.3g-3.3a

T-1.4*0.15g = 1.4a

T=1.4a+1.4*0.15g

by solving

3.3g-3.3a=1.4a+1.4*0.15g

a = 15.93

v = sqrt(2as) = sqrt(2*15.9*0.52) = 4.07 m/s

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