How Do You Calculate the Coefficient of Kinetic Friction on an Inclined Plane?

In summary, the problem involves a 3.6 kg block sliding down an inclined plane at an angle of 27 degrees with the horizontal. The block starts from rest and slides a distance of 2.4 m in 6.2 s. With an acceleration of gravity of 9.81 m/s^2, the coefficient of kinetic friction between the block and plane can be found by first determining the acceleration of the block and then using that value to calculate the total force and friction force.
  • #1
FilibertoG
1
0

Homework Statement


A 3.6 kg block slides down an inclined plane
that makes an angle of 27

with the horizontal.
Starting from rest, the block slides a distance
of 2.4 m in 6.2 s.
The acceleration of gravity is 9.81 m/s
2
.
Find the coefficient of kinetic friction between the block and plane.


I've asked other friends for help but they couldn't figure it out.
 
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  • #2
Welcome to PF!

Hi FilibertoG! Welcome to PF! :smile:

(you'll find a ° in the Quick Symbols box next to the Reply box :wink:)

Do the geometry first, then the physics.

Use the data given to find the actual acceleration (that's the geometry part).

Then use that value of acceleration to find the total force, and from that find the fricton force.

Show us what you get. :smile:
 

FAQ: How Do You Calculate the Coefficient of Kinetic Friction on an Inclined Plane?

What is an inclined plane problem?

An inclined plane problem is a physics problem that involves an object moving on a sloped surface. The goal is to calculate the forces acting on the object and determine its motion.

How do you calculate the forces on an object on an inclined plane?

To calculate the forces on an object on an inclined plane, you need to use trigonometry and Newton's laws of motion. The weight of the object can be broken down into components parallel and perpendicular to the incline, and the net force can be determined using these components.

What is the relationship between the angle of the incline and the force required to move an object?

The steeper the incline, the less force is required to move an object. This is because the force of gravity is acting more directly against the incline, reducing the component of the weight that resists motion.

How does the length of the inclined plane affect the force required to move an object?

The longer the inclined plane, the less force is required to move an object. This is because the longer the plane, the more gradual the slope, and the less the weight of the object is acting against the incline. This reduces the amount of force needed to overcome the weight of the object.

What real-life applications involve inclined plane problems?

Inclined plane problems can be seen in many real-life scenarios, such as ramps for wheelchairs and cars, conveyor belts, and even playground slides. They are also used in engineering and construction to move heavy objects up or down a slope with less force.

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