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  • Two blocks kept on the smooth horizontal surfaces of masses 7kg and 3kg connected with a light string are pulled by applying a horizontal force of 40N as shown in the figure. The tension force (in

Two blocks kept on the smooth horizontal surfaces of masses 7kg and 3kg connected with a light string are pulled by applying a horizontal force of 40N as shown in the figure. The tension force (in N) in the string is-

Option: 1

28


Option: 2

12N


Option: 3

21N


Option: 4

None of the above 


Answers (1)

best_answer

 Solution :

 \\ \text{ Given :}

\\ m_{1}=7 kg ,m_{2}=3 kg ,F=40 N

\\ \text{Let acceleration of the blocks be 'a', and Tension in the string be T.}\\ \text{F.B.D of both blocks combined-}

F=\left ( m_{1}+m_{2} \right )a \\ \\ \Rightarrow a=\frac{F}{m_{1}+m_{2}}\ \\ \\ a=\frac{40}{10}=4 \ m/s^{2}

\\ \text{F.B.D of block of mass} \ m_{1}

\\ T=m_{1}a\\ T=7\times 4= 28 N

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