Kinetic Friction on inclined plane problem

In summary, the coefficient of kinetic friction between a block and an inclined plane is 0.20 and the angle is 60 degrees. The magnitude of a can be found using a free body diagram and applying Newton's 2nd Law, where the sum of all forces is equal to mass times acceleration. Remember to incorporate the coefficient of kinetic friction and the angle in your calculations.
  • #1
VinnyCee
489
0
Been trying to comprehend this one for a few hours:

The coefficient of kinetic friction between a block and an inclined plane is 0.20 and the angle is 60 degrees.

What is magnitude of a? The book says 7.5 m / s^2
How do I figure this with no speeds or distances or even a mass?
 
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  • #2
you got to do your free body diagrams! those stupid things... remember? the sum of all forces = ma unless the velocity is constant. do one for the x side and one for the y side, incorporate your co. of kinetic friction and the angle (probably cos60 and sin60 from mg)... help any? i have a lot of trouble with these, too
 
  • #3
Like doxi said use a freebody diagram then

Apply Newton's 2nd Law

[tex] \sum_{i=1}^{n} \vec{F}_{i} = m \vec{a} [/tex]
 

Related to Kinetic Friction on inclined plane problem

What is Kinetic Friction?

Kinetic friction is a force that opposes the motion of an object when it is in contact with a surface and moving. It is caused by the microscopic irregularities on the surfaces of the object and the surface it is in contact with.

What is an inclined plane?

An inclined plane is a flat surface that is tilted at an angle, allowing objects to be moved up or down with less force than it would take to lift the object straight up. Inclined planes are commonly used in everyday objects such as ramps, slides, and roads.

How does the angle of an inclined plane affect kinetic friction?

The angle of an inclined plane affects the magnitude of the force of kinetic friction. As the angle of the inclined plane increases, the force of kinetic friction also increases, making it more difficult to move an object up the plane.

How do you calculate the force of kinetic friction on an inclined plane?

The force of kinetic friction on an inclined plane can be calculated using the formula: Fk = μk * N, where μk is the coefficient of kinetic friction and N is the normal force exerted by the inclined plane on the object. The normal force can be calculated by multiplying the mass of the object by the cosine of the angle of the inclined plane.

How can kinetic friction on an inclined plane be reduced?

Kinetic friction on an inclined plane can be reduced by using a lubricant, such as oil or grease, between the surfaces of the object and the inclined plane. This reduces the contact between the surfaces and decreases the force of kinetic friction. Additionally, using a smoother surface for the inclined plane can also reduce kinetic friction.

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