Solve Ramp with Friction: Coefficient of Kinetic Friction

In summary, the problem involves a mass sliding down an inclined part of a slide with a speed of 2.19 m/s. It then stops at a distance of 2.5 m along the level part of the slide. The given values are S1 = 1.07 m and θ = 29.70°. The task is to calculate the coefficient of kinetic friction for the mass on the surface. This can be solved using the conservation of energy, where the initial energy (kinetic + potential) minus the energy lost by friction is equal to the final energy (kinetic + potential). The equation for this is KE1 + PE1 - Efr = KE2 + PE2.
  • #1
rechitzy
21
0

Homework Statement



When mass M is at the position shown, it is sliding down the inclined part of a slide at a speed of 2.19 m/s. The mass stops a distance S2 = 2.5 m along the level part of the slide. The distance S1 = 1.07 m and the angle θ = 29.70°. Calculate the coefficient of kinetic friction for the mass on the surface

http://s876.photobucket.com/albums/ab327/rechitzy/?action=view&current=prob27a_MechEnWFriction.gif&newest=1

Homework Equations



E = K+U

The Attempt at a Solution



Don't even know where to start...
 
Last edited:
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  • #2
You can use conservation of energy, taking into account the energy lost by friction.
 
  • #3
ok i know what you are talking about but how do i do that?
 
  • #4
Initial energy (potential+kinetic), minus the energy lost by friction, is equal to final energy (potential+kinetic). Write that out in an equation as your first step.
 
  • #5
Ok, would this be KE1+PE1-Efr=KE2+PE2?
 
  • #6
Thanks i already figured it out.
 

Related to Solve Ramp with Friction: Coefficient of Kinetic Friction

What is the coefficient of kinetic friction?

The coefficient of kinetic friction is a measure of the amount of friction between two surfaces in motion. It is represented by the symbol "μ" and is a unitless value.

How is the coefficient of kinetic friction calculated?

The coefficient of kinetic friction can be calculated by dividing the force of kinetic friction by the normal force between the two surfaces. It can also be determined experimentally by measuring the force required to keep an object in motion on a surface.

What factors affect the coefficient of kinetic friction?

The coefficient of kinetic friction can be affected by the type of surfaces in contact, the roughness of the surfaces, the weight of the object, and the presence of any lubricants or contaminants on the surfaces.

How does the coefficient of kinetic friction impact an object on an inclined plane?

The coefficient of kinetic friction determines the amount of resistance an object on an inclined plane will experience as it slides or rolls down the ramp. A higher coefficient of kinetic friction will result in a greater resistance and slower movement down the ramp.

How does the coefficient of kinetic friction impact the efficiency of a machine?

The coefficient of kinetic friction plays a role in the efficiency of a machine by determining the amount of energy lost due to friction. A higher coefficient of kinetic friction will result in a lower efficiency as more energy is lost to overcome friction in the machine.

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