A block accelerates at 3.2 m/s down a plane inclined at an angle 28.0◦

Find µk between the block and the inclined plane. The acceleration of gravity is 9.8 m/s2.

To find the coefficient of kinetic friction (µk) between the block and the inclined plane, we can use the equation:

µk = tan(θ)

where θ is the angle of inclination.

Given that the angle of inclination (θ) is 28.0°, we can plug it into the equation:

µk = tan(28.0°)

To find the tangent of 28.0°, you can use a scientific calculator.

Alternatively, you can use online trigonometric calculators or software that has tangent functions.

By substituting the value into the equation, we get:

µk = tan(28.0°) = 0.531

Therefore, the coefficient of kinetic friction between the block and the inclined plane is approximately 0.531.