Which Direction Will the Cup Slide on a Dashboard During a Turn?

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SUMMARY

When a coffee cup is placed on a horizontal dashboard and a circular right turn is navigated, the cup will slide to the left relative to the dashboard if the turn is clockwise. Conversely, if the turn is counterclockwise, the cup will slide to the right. This behavior is due to the vector nature of acceleration and the frame of reference provided by the dashboard. Understanding the relationship between the direction of motion and the dashboard is crucial for accurate predictions.

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A "relative" question.

Ok a coffee cup is resting on a horizontal dashboard. Part a asks at what velocity will the cup slide when you navigate a circular right turn. I did this. So, part b, in what direction relative to the dashboard will the cup slide? I presume its to the left but can someone confirm this for me? or am i wrong?

Thanks
 
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The acceleration is a vector quantity. How did you calculate the acceleration?
 
for your question! In this scenario, the direction of the cup's slide will depend on the direction of the circular right turn. If the turn is clockwise, then the cup will slide to the left relative to the dashboard. If the turn is counterclockwise, then the cup will slide to the right relative to the dashboard. It's always important to consider the direction of motion and how it relates to the frame of reference, in this case, the dashboard. I hope this helps clarify your understanding.
 

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