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Q.

Three blocks of masses m1​=10kg,m2​=20kg and m3​=30kg are on a smooth horizontal table, connected to each other by light horizontal strings. A horizontal force F= 60N is applied to m3​ towards the right. Find 
(a) tensions T1​ and T2​
(b) tension T2​ if all of a sudden the string between m1​ and m2​ snaps.

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Detailed Solution

For calculating force use the formula

a= F(net)/total mass

so a= 60/(10+20+30)

a= 60/60 = 1 m/s

Now, if force is applied to 1 body then

  • The tension between 2 and 3 bodies is

           T2,3=mass x acceleration

                = 30x1 = 30 N

  • The tension between 1 and 2 bodies is

            T1,2 = (30+20)x1 = 50N

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