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The lower block in the figure is pulled on by a rope with a tension force of 20

ID: 2135384 • Letter: T

Question

The lower block in the figure is pulled on by a rope with a tension force of 20 N. The coefficient of kinetic friction between the lower block and the surface is 0.27. The coefficient of kinetic friction between the lower block and the upper block is also 0.27.

What is the acceleration of the 2.0 kg block?

PLEASE SHOW STEPS

The lower block in the figure is pulled on by a rope with a tension force of 20 N. The coefficient of kinetic friction between the lower block and the surface is 0.27. The coefficient of kinetic friction between the lower block and the upper block is also 0.27. What is the acceleration of the 2.0 kg block? PLEASE SHOW STEPS

Explanation / Answer



max. friction can act on block 2 by surface = 0.27 x 2g =5.29 N

by block 1 = 0.27 x 1 xg = 2.65 N

on block 2 :

20 - T - 5.29 - 2.65 = 2a


T - 2.65   = 1a

add them

20 - 5.29 - 2x2.65 = 3a

a = 3.14 m/s2