Perpendicular force required to stop an object, with respect to friction

AI Thread Summary
To stop a polymer object with a mass of 5 grams and a velocity of 0.1 mm/s over a distance of 0.2 mm, a perpendicular force must be applied, influenced by friction. The standard equation F = ma is typically used for opposing forces, but in this case, the frictional force equation F = μN applies, where μ is the coefficient of friction and N is the normal force. The discussion emphasizes the unique challenge of calculating the stopping force when it acts perpendicularly rather than directly opposing the motion. Understanding the relationship between friction and the normal force is crucial for determining the required stopping force. This scenario highlights the complexities of force application in non-standard motion contexts.
DanielAudi
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Homework Statement


What force have to be applied to stop an polymer object with mass 5 gram and velocity 0.1 mm/s to stop in 0.2 mm? The polymer object touches a human skin at one side only, whereby friction Ff has a influence in the stopping process.

The object is moving to the left. In contrast to a normal problem, the stopping force is not a opposite one, but a perpendicular force. See image below.


_________________________________________ (human skin)
← □ (object moves with directon to the left)
↑ (perpendicular force - to the object and the human skin - to stop the object)


Homework Equations


F = ma


The Attempt at a Solution


To my knowledge, the formula F = ma is used to calculate the value of a opposite force to stop a object. Which formula do you use in case of a perpendicular force with respect to friction?

Many thanks!
 
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DanielAudi said:

Homework Statement


What force have to be applied to stop an polymer object with mass 5 gram and velocity 0.1 mm/s to stop in 0.2 mm? The polymer object touches a human skin at one side only, whereby friction Ff has a influence in the stopping process.

The object is moving to the left. In contrast to a normal problem, the stopping force is not a opposite one, but a perpendicular force. See image below.


_________________________________________ (human skin)
← □ (object moves with directon to the left)
↑ (perpendicular force - to the object and the human skin - to stop the object)


Homework Equations


F = ma


The Attempt at a Solution


To my knowledge, the formula F = ma is used to calculate the value of a opposite force to stop a object. Which formula do you use in case of a perpendicular force with respect to friction?

Many thanks!

If friction is causing the stopping force (in the direction opposing the motion), then you use the equation for frictional force:

F = μ N

Where μ is the coefficient of friction, and N is the Normal force (the force pushing the object onto the skin in this case)...
 

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