a dockworker loading crates on a ship finds that a 29-kg crate, initially at rest on a horizontal surface, requires a 71-n horizontal force to set it in motion. however, after the crate is in motion, a horizontal force of 50 n is required to keep it moving with a constant speed. find the coefficients of static and kinetic friction between crate and floor.

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08-11-2022
Physics

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a dockworker loading crates on a ship finds that a 29-kg crate, initially at rest on a horizontal surface, requires a 71-n horizontal force to set it in motion. however, after the crate is in motion, a horizontal force of 50 n is required to keep it moving with a constant speed. find the coefficients of static and kinetic friction between crate and floor.

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contexto1016 contexto1016 · Answer 1 · 2022-11-15T10:19:08-05:00

The coefficients of static and kinetic friction between crate and floor are

0.25 and 0.176 respectively.

When a body is at rest and if a force is applied to move it, then it would require the force which is equal to the static friction force, if

fs is the static frictional force and the us is the static friction coefficient and Fn is the normal force

[tex]f_{s}[/tex] = us*Fn

Fn = mg

putting the appropriate values, we get

= 71/(29*9.8) = 71/284.2

= 0.2498 = 0.25

Now, similarly when body is in motion, kinetic frictional force is applied, so we can write

[tex]f_{k}[/tex] = uk*Fn

so putting the appropriate values, we get

= 50/mg = 50/284.2 = 0.1759

= 0.176

Hence the value of coefficient of static friction is 0.25 and the value of coefficient of kinetic friction is 0.176.

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