A block of mass M is sliding down a rough inclined surface that makes an angle $\theta$ with respect to the horizontal. If the coefficient of static friction is $\mu$ _s and kinetic friction $\mu$ _k, then the acceleration of the block down the incline is equal to: A) "g sin $\theta$ - $\mu$ _s g cos $\theta$." B) " g cos$\theta$ - $\mu$ _k g cos $\theta$" C) "$\mu$ _s g cos $\theta$ -g sin $\theta$" D) "g sin $\theta$ -$\mu$ _k g cos $\theta$" E) "g sin $\theta$-$\mu$ _s g cos $\theta$ - $\mu$ _k g cos $\theta$"

Question

Quizplus · Accepted Answer

The acceleration of the block is determined by the net force acting on it. The force down the incline is $Mg \sin \theta$, and the force of kinetic friction opposing the motion is $\mu_k Mg \cos \theta$. The net force is $Mg \sin \theta - \mu_k Mg \cos \theta$, leading to an acceleration of $g \sin \theta - \mu_k g \cos \theta$.

A Block of Mass M Is Sliding Down a Rough θ\thetaθ

A Block of Mass M Is Sliding Down a Rough $\theta$