Question

A block of mass 2 kg rest on a rough inclined plane making an angle ${30}^{\circ }$ with horizontal of coefficient of friction 0.8. (G = 10 $m/s^2$). The magnitude of resultant of friction and normal reaction on the block will be

• A. $\sqrt{292}N$
• B. $\sqrt{364}N$
• C. 20 N
• D. 18 N

Answer 1

The correct option is C 20 N

$\overrightarrow{N}+{\overrightarrow{F}}_s+m\overrightarrow{g}=0\therefore |\overrightarrow{N}+{\overrightarrow{F}}_s|=|-m\overrightarrow{g}|=20N$