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Two blocks of masses 20 kg and 8 kg are connected together by a light string...

Two blocks of masses 20 kg and 8 kg are connected together by a light string and rest on a frictionless level surface. Attached to the 8 kg mass is another light string, which a person uses to to pull both blocks horizontally. If the two block system accelerates at 0.50 m/s2 what is the tension in the connecting string between the blocks?

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Answer #1
     F= m1a1 + m2 a2
But it is given a1= a2 =a
                   Therefore,        F = a (m1 + m2 )
                                              = 0.5 ( 8 + 20 )
                                         F = 14 N

The Tension F2 = m 2 a
                       = 20 x 0.5
                    F2= 10 N which is less than F. Hence F2 acts to accelerate only m2.
                   
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