a 3.98 kg block slides down a ramp with an angle of inclination of $42.1^{\circ}$. if the block slides down with an acceleration of $1.43\text{ m/s}^2$, what is the coefficient of kinetic friction?

$\bigcirc$ 0.707
$\bigcirc$ 0.457
$\bigcirc$ 0.891
$\bigcirc$ 0.610

Question

a 3.98 kg block slides down a ramp with an angle of inclination of $42.1^{\circ}$. if the block slides down with an acceleration of $1.43\text{ m/s}^2$, what is the coefficient of kinetic friction?

$\bigcirc$ 0.707
$\bigcirc$ 0.457
$\bigcirc$ 0.891
$\bigcirc$ 0.610

Accepted Answer

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(A) 0.707

(B) 0.457

(C) 0.891

(D) 0.610

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QUESTION IMAGE

Question

Explanation:

Identify given values and target unknown

Resolve forces perpendicular to the incline

Set up the equation of motion down the incline

Solve for the coefficient of kinetic friction

Calculate the numerical value of the coefficient

Answer: