To find the acceleration of the 450 kg mass acted upon by three forces with a coefficient of friction of 0.22, we need to first find the net force acting on the mass.
Let F1, F2, and F3 be the three forces acting on the mass. The net force is given by:
F_net = F1 + F2 + F3 - frictional force
where the frictional force is given by:
frictional force = coefficient of friction * normal force
The normal force is equal to the weight of the object, which is given by:
weight = mass * acceleration due to gravity
Substituting these values, we get:
frictional force = 0.22 * 450 kg * 9.81 m/s^2
frictional force ≈ 978.54 N
Therefore, the net force acting on the mass is:
F_net = F1 + F2 + F3 - 978.54 N
Since the mass is accelerating, the net force is equal to the mass times the acceleration, i.e.,
F_net = mass * acceleration
Therefore,
mass * acceleration = F1 + F2 + F3 - 978.54 N
Solving for the acceleration, we get:
acceleration = (F1 + F2 + F3 - 978.54 N) / mass
Without more information about the magnitudes and directions of the three forces, we cannot calculate the acceleration.