If the coefficient of static friction between your coffeecup and the horizontal dashboard of your car is, how fast can you drive on a horizontal roadw

sjeikdom0

sjeikdom0

Answered question

2021-02-24

If the coefficient of static friction between your coffeecup and the horizontal dashboard of your car is, how fast can you drive on a horizontal roadwayaround a right turn radius of 30.0 m before the cup starts toslide? If you go too fast, in what direction will the cupslide relative to the dashboard?

Answer & Explanation

Brighton

Brighton

Skilled2021-02-25Added 103 answers

The idea is that your car is moving in circ motion and youwant the coffee cup to move with the car (i.e. not slide). So thecoffee cup must also turn in a circle.
The force keeping it in a circle is the friction force whichis F=u mg where u is the coeff offriction also, in circ motion the force must equal: F=mv2R
So: mv2R=u mg or

v2=ugR=0.8×9.8×30=235.2 take the sq root and v=15.3m/s Done! Please rate me,thanks!

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Force, Motion and Energy

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?