A block of unknown mass is at rest on a rough, horizontal surface. A horizontal force F is applied to the block. The graph in the figure shows the acceleration of the block with respect to the applied

Question

A block of unknown mass is at rest on a rough, horizontal surface. A horizontal force F is applied to the block. The graph in the figure shows the acceleration of the block with respect to the applied force. The mass of the block is:

TestHub · Accepted Answer

Once the applied force exceeds limiting friction
$a = \frac{F - f}{m}$
so the slope of the $a$ - $F$ line is $\frac{1}{m}$ .
The line passes through $(4, 0)$ and $(14, 5)$ : slope =
$\frac{5}{10} = 0.5$
giving
$m = \frac{1}{0.5} = 2 kg .$
Option C.

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