Question

A block of mass 2 kg is projected upwards along a ${30}^0$ inclined plane with an initial velocity of 22 m/s. The coefficient of friction between the block and the plane is 0.2. The block moves up the plane to a distance of :

• A. 6.8 m
• B. 8.6 m
• C. 36.6 m
• D. 86 m

Answer 1

Answer: (C)

36.6 m

Stopping distance $S=\frac{u^2}{2a}$
$a=gsin\theta +\mu gcos\theta$
$=9.8\times \frac{1}{2}+0.2\times 9.8\times \frac{\sqrt{3}}{2}=6.6m/s^2$
Now $S=\frac{u^2}{2a}=\frac{22\times 22}{2\times 6.6}=36.6m$