Coefficient of sliding friction and distance travelled

AI Thread Summary
To calculate the distance a flat round disc of mass 0.6 kg travels before coming to rest on an icy surface with a coefficient of sliding friction of 0.02, one must first determine the deceleration caused by friction. The deceleration can be calculated using the formula for frictional force, which leads to the acceleration being negative. The initial velocity of the disc is 3.5 m/s, and the kinematic equations can then be applied to find the distance traveled before it stops. The discussion emphasizes that the equation d=rt is not applicable due to the presence of acceleration. Understanding the forces at play is crucial for accurately solving the problem.
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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