If you apply a force of 56 N in order to push a box and the box accelerates at 2.2 m/s2, what is the mass of the box?

25.45Kg

Explanation:

Force = mass x acceleration

F = M x a

Given F = 56N

a = 2.2m/s^2

Using the above formula

56 = m x 2.2

Divide both sides by 2.2

56/2.2 = m x 2.2/2.2

25.45 = m

m = 25.45Kg

The mass of the box is 25.45kg

25.45kg

Explanation:

Mass is the quantity of matter in a body. It is a scalar quantity that is it has magnitude both no direction.

From newton's second law of motion which states that the rate of change of momentum of a body is proportional to the applied force which takes place in the direction of force applied.

This law gives a formula which relate force, mass and acceleration.

Force = mass x acceleration

Given that force = 56N , acceleration = 2.2m/s²

Since force(F)= mass(m) x acceleration(a)

Therefore F = ma

Divide both sides by a

F/a = ma/a

Therefore,

Mass(m)  = F/a

Mass = 56N ➗ 2.2m/s²

Mass = 25.45kg

The S. I unit of mass is kilogram (kg).

Mass = 25.45kg.

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from wikipedia