Three blocks of masses m 1 , m 2 and m 3 are connected to a massless string on a frictionless table as shown in the figure. They are pulled with a force of 40 N. If m 1 = 10 kg , m 2 = 6 kg and m 3 = 4 kg , then tension T 2 will be

Question

Three blocks of masses m 1 , m 2 and m 3 are connected to a massless string on a frictionless table as shown in the figure. They are pulled with a force of 40 N. If m 1 = 10 kg , m 2 = 6 kg and m 3 = 4 kg , then tension T 2 will be, 10 N, 20 N, 32 N, 40 N

MARKS App · Accepted Answer

Since, the table is frictionless, i.e., it is smooth, therefore, force on the block is given by F = m 1 + m 2 + m 3 a ⇒ a = F m 1 + m 2 + m 3 ⇒ a = 40 10 + 6 + 4 = 40 20 = 2 m s - 2 Now, the tension between 10 kg and 6 kg masses is given by T 2 = m 2 + m 3 a = 4 + 6 2 = 10 × 2 T 2 = 20 N

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