How would i find the coefficient of sliding friction

[meredith]

the block is sliding down a wooden plane that has an incline of 22.67 degrees. the block has a mass of 31.0g.
also, the block has an acceleration of 16.94m/s^2

Homework Equations

f = ma
fnormal = (mass x acceleration due to gravity) (cos22.67) (i think?)


i tried to find the force nomral and i got 280.3 N? I am not sure if its right though or where to go from there.

THANKS EVERYONE i really appreciate it!

 

[alphysicist]

Hi meredith,

the block is sliding down a wooden plane that has an incline of 22.67 degrees. the block has a mass of 31.0g.
also, the block has an acceleration of 16.94m/s^2

Homework Equations

f = ma
fnormal = (mass x acceleration due to gravity) (cos22.67) (i think?)


i tried to find the force nomral and i got 280.3 N? I am not sure if its right though or where to go from there.

THANKS EVERYONE i really appreciate it!

Can you give the exact problem statement? If the block has an acceleration of nearly 17m/s^2, I'm thinking there are probably extra forces involved (besides gravity, normal force, and frictional force), and the normal force will depend on how those are oriented.

If the only forces with components perpendicular to the incline are the normal force and gravity then your answer would give the magnitude of the normal force.

 

[thomate1]

To find the coefficient of sliding friction, you can use the equation f = μN, where f is the force of friction, μ is the coefficient of friction, and N is the normal force. In this case, the normal force can be calculated as the weight of the block, which is equal to its mass (31.0g) multiplied by the acceleration due to gravity (9.8m/s^2), and then multiplied by the cosine of the incline angle (22.67 degrees). So the normal force would be (31.0g)(9.8m/s^2)(cos22.67) = 84.9 N.

Now, using the given acceleration of 16.94m/s^2, you can calculate the force of friction using the equation f = ma. So the force of friction would be (31.0g)(16.94m/s^2) = 524.14 N.

Finally, you can plug these values into the equation f = μN to solve for the coefficient of friction. So μ = f/N = 524.14 N/84.9 N = 6.17.

The coefficient of sliding friction in this case is 6.17. Please note that this value seems quite high, so it is possible that there may be a calculation error. I would recommend double-checking your calculations and units to ensure accuracy. Additionally, it is always a good idea to compare your results with known values or do multiple trials to ensure accuracy and consistency.