Question

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

Answer 1

Diagram

Acceleration of block,
$a=\frac{F-\mu mg}{m}\Rightarrow a=\left(\frac{1}{m}\right)F-\mu g$
From the graph;
slope$=\frac{1}{m}=\frac{1}{2}\Rightarrow m=2kg$
and $y$- intercept: $-\mu g=-2\Rightarrow \mu =0.2$

Final Answer: $0.2$