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 58.0 cm.

Two blocks with masses m1 = 1.20 kg and m2 = 3.00 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 0.430.
Two blocks with masses m1 = 1.20 kg and m2 = 3.00 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 0.430. Prob20_fricpulley1.gif

Explanation / Answer

(3kg)(9.8) - Tension = (3kg)(a)
&
Tension - (.430)(1.2kg)(9.8) = (1.2kg)(a)

By setting Tension equal to each other you can solve for a.
a= ?m/s^2

Plug this acceleration into a kinematic equation to get final speed

Vf^2 = 0^2 + 2(a m/s^2)(.58m)

Velocity = ?? m/s

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