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Applying NLM along 3 Axis

Two blocks A ...

Question

Two blocks A and B each of $20$ kg lying on a frictionless table are connected by a light string. The system is pulled horizontally with an acceleration of $2 m s^{- 2}$ by a force $F$ on B. The tension in the string will be:

A

10 N

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B

40 N

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C

100 N

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D

120 N

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Solution

The correct option is B $40 N$
The forces in the vertical direction will cancel.
For block A, external force is only that of tension force and acceleration is $2 m / s^{2}$
$T = m_{A} a = 20 \times 2 = 40 N$

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