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1) Refer to the Figure above. Block A has a mass of 2.00 kg and rests on a rough

ID: 1294099 • Letter: 1

Question

1) Refer to the Figure above. Block A has a mass of 2.00 kg and rests on a rough table and is connected to block B, which has a mass of 3.00 kg, after passing over an ideal pulley, as shown. Block B is released from rest. The coefficient of kinetic friction between block A and the table is 0.300. What is the acceleration of the masses? A) 0.981 m/s^2 B) 2.92 m/s^2 C) 8.22 m/s^2 0)0.451 m/s^2 E) 6.54 m/s^2 F) 3.92 m/s^2 G)5.89 m/s^2 H) 9.8 m/s^2 J) 8.1 m/s^2 K) 1.45 m/s^2 L) 4.71 m/s^2 M) 11.7 m/s^2

Explanation / Answer

The forces acting on block B...

W - T = ma

(3)(9.8) - T = 3(a)

T = 29.4 - 3a

The forces acting on block A

T - Ff = ma

T = umg + ma

T = (.3)(2)(9.8) + 2a

T = 5.88 + 2a

Set the T's equal

5.88 + 2a = 29.4 - 3a

a = 4.70 m/s2 (Choice L)