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  4. Three blocks of masses 2 kg , 3 kg and 5 kg are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force F=10 N, then tension T1=

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Q. Three blocks of masses $2\, kg , 3 \,kg$ and $5 \,kg$ are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force $F=10 \,N$, then tension $T_{1}=$Physics Question Image

Bihar CECEBihar CECE 2008Laws of Motion

Solution:

Total mass of the system, $M=m_{1}+m_{2}+m_{3} $$
=2+3+5$
$=10\, kg$
Force $F=10\, N$
Hence, acceleration, $a=\frac{F}{M}=1 \,ms ^{-2}$
Now, tension $T_{1}$ can be calculated as,
$T_{1}=\left(m_{2}+m_{3}\right) a=8 \times 1=8\, N$