Solving Friction Problem - Accelerating Car Without Spilling Coffee

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Homework Help Overview

The problem involves a scenario where a coffee cup is placed on the roof of a car, and the discussion centers around determining the maximum acceleration of the car without causing the cup to slide off. The subject area pertains to friction and dynamics in introductory physics.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the coefficient of static friction provided in the problem and its relevance. Questions arise regarding the necessity of the cup's mass and the equation for frictional force.

Discussion Status

The discussion is ongoing, with participants exploring the implications of the given coefficient of friction and questioning the need for additional information such as the mass of the cup. Some guidance has been offered regarding the cancellation of mass in the calculations.

Contextual Notes

There is a note that the problem may be more suitable for an introductory physics forum, indicating a potential mismatch in the complexity of the problem's placement.

hershey1
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Please help...
A person places a cup of coffee on the roof of her car while she dashes back into the house for a forgotten item. When she returns to the car, she hops in and takes off with the coffee cup still on the roof.
(a) If the coefficient of static friction between the coffee cup and the roof of the car is 0.24, what is the maximum acceleration the car can have without causing the cup to slide? Ignore the effects of air resistance.


(b) What is the smallest amount of time in which the person can accelerate the car from rest to 20 m/s and still keep the coffee cup on the roof?

so I don't really even know where to start. How would I know what mu is?
 
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How would I know what mu is?

It's given in the question.

What is the equation for the frictional force?

By the way, this is not advanced physics. This should be in the introductory physics forum (for future reference). :smile:
 
How much does the cup weigh?

Dont you need its mass?
 
No, you don't need the mass. It will cancel out in the end.
 

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