Respuesta :

Answer:

The acceleration of the box across the floor is 7.0588 [tex]m/s^2[/tex]

Explanation:

Given:

Mass of the box =  2550 gram

net force  acting on the box   =  18 .0 N.

To Find:

The acceleration of the box across the floor = ?

Solution:

Newton's 2nd Law of Motion states that the acceleration of an object as produced by a net force is "directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object. "

Newton's Second Law formula is

F = m a

Where:

 F = the magnitude of the net force, in N

 m = the mass of the object, in Kilogram

 a = the acceleration of the object, in [tex]m/s^2[/tex]

Now substituting the values, we get

18.0 =  a (2.55)     [since 2550 gram = 2.55 kg]

[tex]a = \frac{18.0}{2.55}[/tex]

a =  7.0588 [tex]m/s^2[/tex]