3 bodies with masses 3kg, 6kg, and 2kg are pushed with 49.5N. Find acceleration and contact force.
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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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