Question

Find out the distance travelled by the block on incline before it stops. Initial velocity of the block is $10\text{m/s}$ and co-efficient of friction between the block and incline is $\mu =0.5$.
$(\text{Take}g=10{\text{m/s}}^2)$

• A. $\text{5 m}$
• B. $\text{4 m}$
• C. $\text{10 m}$
• D. $\text{6 m}$

Answer 1

The correct option is A $\text{5 m}$

FBD,

We get normal force on block by equating the normal component of weight perpendicular to inclined plane
$N=mg\cos {37}^{\circ }$
Applying Newton's law along the inclined plane we get,
$\therefore -mg\sin {37}^{\circ }-\mu N=ma$
$a=-10{\text{m/s}}^2$
Now by the equation of motion, $v^2=u^2+2as$
$0={10}^2+2(-10)S$
$\therefore S=5\text{m}$