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A stationary 15 kg object is located in a table near the surface of the earth. The coefficient of static friction between the surfaces is 0.40 and the coefficient of kinetic friction is 0.25.
A horizontal force of 20 N is applied to the object.
Determine the acceleration of the object.

Respuesta :

maximum static friction acting on the object will be

[tex] F_s = \mu_s mg[/tex]

plug in all values

[tex]F_s = 0.40 \times 15 \times 9.8 = 58.8 N[/tex]

So here it means that if applied force is less than or equal to 58.8 N then the object will remain stationary as friction can balance the external force upto this limit of external force

So here it is given that applied force is 20 N

so here object will not move due to this force and it will remain at rest always

due to this applied force

Answer:

The applied force is [tex]20\;\rm{N,[/tex]  then the object will not move due to this force and it will remain at rest always  due to this applied force.

Explanation:

Given: A stationary [tex]15\;\rm{kg[/tex] object is located in a table near the surface of the earth. The coefficient of static friction between the surfaces is [tex]0.40[/tex] and the coefficient of kinetic friction is [tex]0.25[/tex].

Weight of the object is [tex]15\;\rm{kg[/tex].

The maximum static friction acting on the object will be [tex]F_s=\mu_s{mg[/tex]

Substiuting all the values:

[tex]F_s=0.40\times15\times9.8\\F_s=6\times9.8\\F_s=58.8\;\rm{N[/tex]

Here, force of static friction is [tex]58.8\;\rm{N[/tex]. it means that if applied force is less than or equal to [tex]58.8\;\rm{N[/tex], then the object will remain stationary as friction can balance the external force upto this limit of external force.

Therefore, the applied force is [tex]20\;\rm{N,[/tex]  then the object will not move due to this force and it will remain at rest always  due to this applied force.

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