MCQ
Two bodies $A$ and $B$ of masses $10\,\, kg$ and $15\, kg$ respectively kept on a smooth, horizontal surface are tied to the ends of a light string. If $T$ represents the tension in the string when a horizontal force $F = 500\, N$ is applied to $A$ (as shown in figure $1$) and $T'$ be the tension when it is applied to $B$ (figure $2$), then which of the following is true
  • A
    $T=T' = 500\, N$
  • B
    $T = T' = 250\, N$
  • C
    $T = 200\, N, T' = 300\, N$
  • $T = 300\, N, T' = 200\, N$

Answer

Correct option: D.
$T = 300\, N, T' = 200\, N$
d
Acceleration $=\frac{500}{25}=20 m / s^{2}$ in both the cases.

In fig $1, T=500-10 \times 20=300 N$

In fig $2, T=500-15 \times 20=200 N$

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