A Girl is pushing on a 45 kg dresser with 300 N of force. The dresser has a coef

Question

A Girl is pushing on a 45 kg dresser with 300 N of force. The dresser has a coeficient of statice friction of 0.83 and a coeficient of kinetic friction of 0.55.

Does the dresser move?

What quantitative evidence can you give to prove that this?



How much is the force of friction on the dresser? N

How much will the friction be if her brother puts a 15 kg dictionary on top of the dresses? N

Explanation / Answer

Maximum static friction = 45*9.8*0.83 = 366.03 Which is grater than 300. Hence the dresser wont move. As the system is stationary, all the forces balance out => Force friction = force applied by the girl = 300N Even if the book is placed in the top, Force friction = 300N Book only increases the total mass of the dresser which in case increases the maximum frictional force that the dresser can exert. Note that frictional force is a self adjusting force with a maximum value of M*9.8*mu Enjoy :)

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