Question

You happen to know that the coefficient of static friction between your patio table and the ground is 0.42. You decide you want to move it (45kg) by pushing on it. Are you able to move the table?

Answer 1

If the force applied is larger than 185.2 N, yes.

Step-by-step explanation:

In order to move the table, the pushing force must be larger than the frictional force. The frictional force is given by:

`F_f = \mu mg`

where

`\mu=0.42` is the coefficient of static friction

`m=45 kg` is the mass of the table

`g=9.8 m/s^2` is the gravitational acceleration

Substituting,

`F_f=(0.42)(45 kg)(9.8 m/s^2)=185.2 N`

So, we are able to move the table if we push with a force larger than 185.2 N.