Question

A body is sliding down an inclined plane forming an angle ${30}^0$ with the horizontal. If the coefficient of friction is 0.3, then acceleration of the body is:

• A. $1.25m{s}^{-2}$
• B. $2.35m{s}^{-2}$
• C. $3.4m{s}^{-2}$
• D. $m{s}^{-2}$

Answer 1

Answer: (B)

$2.35m{s}^{-2}$

$a=g(sin\theta -{\mu }_{k}cos\theta )$
$a=9.8(\frac{1}{2}-0.3\times \frac{\sqrt{3}}{2})$
$=2.35m{s}^{-2}$