Question

Calculate the net acceleration acting on a 40 kg box being pushed across a horizontal floor. There is a 400 N normal force, a 195 N applied force, and a 55 N force of friction resisting any sliding motion. Assume g = 10 m/s ^ 2

Answer 1

Net acceleration = 3.5m/s²

Step-by-step explanation:

Given the following data;

Mass, m = 40kg

Normal force, Fn = 400N

Applied force, Fapp = 195N

Force of friction, Ff = 55N

Mathematically, the net force is given by the formula;

`F_(net) = F_(app) - F_(f)`

Substituting into the equation, we have;

`F_(net) = 195 - 55`

`F_(net) = 140`

To find the acceleration;

`F_(net) = ma`

Making acceleration "a" the subject of formula;

`a = \frac {F_(net)}{m}`

`a = \frac {140}{40}`

Net acceleration, a = 3.5m/s²