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

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When navigating a circular right turn, the direction a coffee cup slides on a horizontal dashboard depends on the turn's direction. If the turn is clockwise, the cup will slide to the left relative to the dashboard. Conversely, if the turn is counterclockwise, the cup will slide to the right. The discussion emphasizes the importance of understanding acceleration as a vector quantity and its relation to the frame of reference. This clarification aids in comprehending the dynamics of objects on a moving surface.
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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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