Running around with paper

Classical Mechanics Level 3

Have you ever tried running around with a piece of paper stuck to your stomach, trying to accelerate so that the paper doesn't fall off (Look mom, no hands!)? No? Well I have, and I decided to create this problem based off this weirdness of mine...

Assume you have the situation described above. Calculate the value of acceleration needed to keep the paper on your stomach if

  1. Air resistance is neglected
  2. The mass of the paper is 0.0045 kilograms
  3. Your mass is 75 kilograms
  4. Gravitational acceleration is 9.8 m/s squared
  5. Coefficient of friction between your shirt and paper is 0.07
  6. Answers are all in\(\text{m/s}^2\)



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