A 225-kg box is pushed horizontally with a force of 620N. If the coefficient of friction is 0.20, calculate the acceleration of the box.

Fb = m*g = 225kg * 9.8N/kg = 2205 N. =

Force of box. = Normal force.

Fk = u*Fn = 0.20 * 2205 = 441 N. = Force of kinetic friction.

a=(Fap-Fk)/m = (2205-441)/225=7.84 m/s^2

To calculate the acceleration of the box, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F=ma).

In this case, the net force is the difference between the applied force and the force of friction:

Net force = Applied force - Force of friction

The applied force is given as 620N and the force of friction can be calculated using the equation:

Force of friction = coefficient of friction * Normal force

The normal force is equal to the weight of the box, which can be calculated as:

Weight = mass * gravitational acceleration

The gravitational acceleration is approximately 9.8 m/s^2.

Let's calculate the force of friction first:

Force of friction = 0.20 * (mass * gravitational acceleration)

Next, substitute the calculated force of friction and the given applied force into the equation for net force:

Net force = 620N - Force of friction

Finally, substitute the net force and the mass of the box into the equation F=ma and solve for acceleration:

Net force = mass * acceleration

Acceleration = Net force / mass

Now, plug in the values and calculate the acceleration.