Question

• CHALLENGE You need to move a 105-kg sofa to a different location in the room. It
takes a 403-N force to start the sofa moving. What is the coefficient of static friction
between the sofa and the carpet?​

Answer 1

Answer:

μ = 0.391

Explanation:

The friction force is defined as the product of the coefficient of friction by the normal force. In this way, we have the following equation.

F = μ*N

Where:

F = friction force = 403 [N]

μ = static coefficient

N = Normal force [N]

And the normal force of a body lying on a horizontal surface can be calculated by means of the product of mass by gravitational acceleration.

$N=m*g\\N=105[kg]\\g=9.81 [m/s^{2} ]\\N=105*9.81\\N=1030.05[N]$

Now we can clear the  static coefficient

$403=u*1030.05\\u=0.391$