How Far Do Dishes Move During a Tablecloth Trick?

AI Thread Summary
To determine how far dishes move during a tablecloth trick, one can use the coefficient of kinetic friction (0.12) and the time duration (0.25 seconds) to calculate acceleration. A free body diagram can help visualize the forces acting on the dishes, allowing for the application of Newton's laws. Importantly, the mass of the dishes is not necessary for solving the problem, as acceleration can be derived from the frictional force. Once acceleration is known, the distance traveled can be calculated. The key takeaway is that understanding the forces involved simplifies the solution process.
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Homework Statement



A magician pulls a tablecloth from under some dishes, how far do the dishes move during the.25s it takes the table cloth out? Coefficient of kinetic friction=0.12 and time=.25s I can't find the solution to this prob. in fact I don't know where to start because I don't have mass or weight.

Homework Equations





3. The Attempt at a Solution
 
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bhatch1 said:

Homework Statement



A magician pulls a tablecloth from under some dishes, how far do the dishes move during the.25s it takes the table cloth out? Coefficient of kinetic friction=0.12 and time=.25s I can't find the solution to this prob. in fact I don't know where to start because I don't have mass or weight.

Homework Equations





3. The Attempt at a Solution
Try drawing a free body diagram of the forces acting on the dishes. By applying Newton's laws, you may find that you don't need to know the mass.
 
Thanks you I figured it out all I needed was acceleration, and then then I found the distance.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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