Question

If the length of smooth inclined plane is $10m$ and the value of $g$ is $10m/s^2$ and the angle of inclination is ${30}^{\circ },$ then the acceleration of the block is

• A. $5m/s^2$
• B. $2.5m/s^2$
• C. $1m/s^2$
• D. $2m/s^2$

Answer 1

The correct option is A $5m/s^2$

Given,

$l=10m$

$g=10m/s^2$

$\theta ={30}^0$

Lets consider, coefficient of friction is zero, $\mu =0$

Acceleration of the block is

$a=gsin\theta -\mu gcos\theta$

$a=10\times sin{30}^0-0\times 10\times cos{30}^0$

$a=5m/s^2$

The correct option is A.