Two little questions about friction

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To determine the coefficient of static friction with only acceleration as a variable, one must apply Newton's second law, considering the forces acting on the book and the box. The smallest coefficient of static friction can be calculated using the formula μs = a/g, where 'a' is the acceleration (3.5 m/s²) and 'g' is the acceleration due to gravity (approximately 9.81 m/s²). Regarding the second question, a force applied perpendicular to an inclined ramp will not cause the box to move; instead, it will affect the normal force acting on the box. Both questions require a clear understanding of the forces involved and their relationship to motion. Proper application of physics principles is essential for accurate calculations.
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1. How can you determine a coefficient of friction with only acceleration as a given variable ?
I have a problem with a book resting on a box. Both are moving at an acceleration of 3.5 m/s^2 and I need to find the smallest coefficient of static friction that will prevent slippage.

2. Will a force applied on top of a box sitting on an inclined ramp make it move? (the force is perpendicular to the ramp)

Thanks.
 
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Mr.Barker said:
1. How can you determine a coefficient of friction with only acceleration as a given variable ?
I have a problem with a book resting on a box. Both are moving at an acceleration of 3.5 m/s^2 and I need to find the smallest coefficient of static friction that will prevent slippage.

2. Will a force applied on top of a box sitting on an inclined ramp make it move? (the force is perpendicular to the ramp)

Thanks.
Benjamin, welcome to PF!
If the book is accelerating, there must be a force acting on it in the direction of the acceleration, per Newton 2.. please show some attempt at a solution for both parts.
 

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