Coefficient of sliding friction and distance travelled

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SUMMARY

The discussion focuses on calculating the distance a flat round disc of mass 0.6 kg travels before coming to rest on an icy surface, given an initial velocity of 3.5 m/s and a coefficient of sliding friction of 0.02. The correct approach involves determining the deceleration caused by friction, which can be calculated using the formula for force due to friction (F_friction = μ * m * g). The acceleration can then be derived from this force, allowing the use of kinematic equations to find the distance traveled before the disc stops.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Knowledge of frictional forces and coefficients
  • Familiarity with kinematic equations
  • Basic algebra for solving equations
NEXT STEPS
  • Study the calculation of frictional force using F_friction = μ * m * g
  • Learn how to apply kinematic equations to solve for distance with acceleration
  • Explore the concept of negative acceleration and its impact on motion
  • Review examples of motion on inclined and frictional surfaces
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Students studying physics, particularly those focusing on mechanics and motion, as well as educators seeking to explain concepts related to friction and kinematics.

Bugsy23
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Homework Statement



A flat round disc of mass 0.6kg is pushed across an icy surface. It has an initial velocity of 3.5ms^-1 and the coefficient of sliding friction is 0.02. Calculate the distance traveled before the disc eventually comes to a rest.

Homework Equations



The only one I can think of is distance=speed*time, but I haven't been given any values for time so I can't use that one

The Attempt at a Solution



The acceleration must be negative if the disc is slowing down. I would guess that the acceleration would just be velocity-coefficient of sliding friction, so subtracting 0.02 from the velocity each second until it reaches zero and from there working out the distance travelled. Would that make sense or is there another way to do it?
 
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Determine what force is causing the deceleration. Once you know that, you can find a, then use the kinematics equations to find d.

d=rt is only true with no acceleration.
 

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