Acceleration and coefficients of friction

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SUMMARY

The discussion focuses on calculating the rate of acceleration of a block given its mass, an applied force, and the coefficient of kinetic friction. The key formula derived is Accelerationnet = (Friction - F) / m, where Friction is calculated as Ffriction = mgμ, with g representing the acceleration due to gravity (9.81 m/s²). The net force acting on the block is the applied force minus the frictional force, which opposes the motion. This understanding simplifies the calculation of acceleration when friction is considered.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Basic knowledge of forces and friction
  • Familiarity with the concept of mass and acceleration
  • Knowledge of the coefficient of kinetic friction
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  • Study the application of Newton's second law in various scenarios
  • Learn about different types of friction and their coefficients
  • Explore the effects of varying mass and force on acceleration
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nic.harv
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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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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 m sitting on a surface with coefficient of kinetic friction \mu and there is a force F acting on the block parallel to the surface it rests on.
In that case the force of friction becomes
F_{friction} = mg\mu
With g being the acceleration due to gravity. Then from Newton's second law
F_{net} = F_{friction} - F
The minus sign is because friction will act in the opposite direction to the motion of the block. From this you know that
Acceleration_{net} = \frac{F_{friction} - F}{m}
 
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...
 

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