Acceleration and coefficients of friction

In summary, to find the rate of acceleration, you need to first calculate the force of friction, which is equal to the product of the mass and the coefficient of friction. Then, using Newton's second law, you can find the net force acting on the object, which is equal to the force of friction minus the applied force. Finally, you can calculate the acceleration by dividing the net force by the mass of the object.
  • #1
nic.harv
9
0
how would you find the rate of acceleration when given the force, mass, and the coefficient of friction?? what would the formula(s) be??

i am so confused! HELP!
 
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  • #2
You'll need to give some more information about your problem, taking a stab at it I'll assume you have a block of mass [itex]m[/itex] sitting on a surface with coefficient of kinetic friction [itex]\mu[/itex] and there is a force [itex] F [/itex] acting on the block parallel to the surface it rests on.
In that case the force of friction becomes
[tex] F_{friction} = mg\mu [/tex]
With [itex]g[/itex] being the acceleration due to gravity. Then from Newton's second law
[tex] F_{net} = F_{friction} - F [/tex]
The minus sign is because friction will act in the opposite direction to the motion of the block. From this you know that
[tex]Acceleration_{net} = \frac{F_{friction} - F}{m} [/tex]
 
  • #3
Force = Mass x Acceleration

You already have the force and the mass, the math is very easy to find the acceleration.

Friction complicated it just a little, as friction is a force acting opposite of the direction of acceleration. So the "Force" in the above formula is actually "Force - Friction". As JHamm explained, the formula for "Friction" is probably Friction = Mass x 9.81 x coefficient of friction.

Basically the exact same thing as JHamm said, but hopefully if two people say it, it will make more sense...
 

Related to Acceleration and coefficients of friction

1. What is acceleration?

Acceleration is defined as the rate of change of velocity. It describes how quickly the velocity of an object is changing, either increasing or decreasing.

2. How is acceleration measured?

Acceleration is typically measured in meters per second squared (m/s^2) in the metric system. In the imperial system, it is measured in feet per second squared (ft/s^2).

3. What is the coefficient of friction?

The coefficient of friction is a value that represents the amount of friction between two surfaces in contact. It is a dimensionless quantity and is typically represented by the symbol "μ".

4. How is the coefficient of friction determined?

The coefficient of friction is determined by conducting experiments in which one surface is dragged across another surface with a known force. The ratio of the force required to move the object to the weight of the object gives the coefficient of friction.

5. How does the coefficient of friction affect acceleration?

The coefficient of friction is a key factor in determining the acceleration of an object. Higher coefficients of friction mean that more force is required to move the object, resulting in a slower acceleration. Lower coefficients of friction allow for easier movement and faster acceleration.

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