A stationary 15 kg object is located on a table near the surface of the earth. T

Question

A stationary 15 kg object is located on 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.

a. Draw a free body diagram with the forces to scale.

b. Determine the force of friction.

3. A stationary 15 kg object is located on 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 a. Draw a free body diagram with the forces to scale. b. Determine the force of friction. c. Determine the acceleration of the object.

Explanation / Answer

Given mass of object m = 15 kg, mue_s = 0.4, mue_k =025
F = 20N
If 20 N horizontal force is applied then
the force acting on the object is
F -fs = ma
b) the static friction acting on the object is
   fs = mue_s*Mg cos theta
   fs = mue_s *Mgcos 0
   fs = mue_s*Mg
   fs = 0.4*15*9.8 N = 58.8 N in the -ve x direction
c. acceleration of the object is
   F - mue_k*mg = ma
   fk = mue_k*mg = 0.25*15*9.8 = 36.75 N
so if 20 Nhorizontal force applied then it will have zero acceleration

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