A horizontal force of 750 N is needed to overcome the force of static friction between a level floor and a 250-kg crate. What is the acceleration of the crate if the 750-N force is maintained after the crate begins to move and the coefficient of kinetic friction is 0.12?

Respuesta :

Answer:

The acceleration of the crate is [tex]1.82\ m/s^2[/tex].

Explanation:

Given that,

Force, F = 750 N

Mass of the crate, m = 250 kg

The coefficient of friction is 0.12.

We need to find the acceleration of the crate. The net force acting on the crate is given by :

[tex]F=ma\\\\F-f=ma[/tex]

f is frictional force, [tex]f=\mu N=\mu mg[/tex]

[tex]F-\mu mg=ma\\\\a=\dfrac{F-\mu mg}{m}\\\\a=\dfrac{750-0.12\times 250\times 9.8}{250}\\\\a=1.82\ m/s^2[/tex]

So, the acceleration of the crate is [tex]1.82\ m/s^2[/tex]. Hence, this is the required solution.