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In Figure 5-49, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 64.0 N.

In Figure 5-49, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 64.0 N.

Figure 5-49 (Image Address http://www.webassign.net/hrw/05_47.gif )

(a) If m1 = 12.5 kg, m2 = 24.7 kg, and m3 = 31.0 kg, calculate the magnitude of the acceleration of the system.

(b) Calculate the tension T1

(c) Calculate the tension T2.

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1 Answer

For all three parts, use Newton's second law, F = ma.

(a) The total mass of the system is

m = m1+m2+m3 = 12.5 kg + 24.7 kg + 31.0 kg = 68.2 kg

so the acceleration is

a = T1/m = (64.0 N) / (68.2 kg) = 0.938 m/s2.

(b) T1 = m1a = (12.5 kg)(0.938 m/s2) = 11.7 N

(c) T2 = (m1+m2)a = (12.5 kg + 24.7 kg)(0.938 m/s2)

    = (37.2 kg)(0.938 m/s2) = 34.9 N

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