Final answer:
The magnitude of the acceleration of an object with a mass of 36.0 kg being pushed with a force of 85.0 N against 72.0 N of friction is 0.36 m/s².
Step-by-step explanation:
The question pertains to the concept of Newton's second law of motion, which relates an object's mass, the net force applied to it, and its resulting acceleration.
To find the magnitude of acceleration of an object with a mass of 36.0 kg when pushed along a horizontal surface with a force of 85.0 N against a force of friction of 72.0 N, we use the formula a = Fnet/m, where a is the acceleration, Fnet is the net force, and m is the mass of the object.
First, calculate the net force:
Fnet = applied force - friction force
= 85.0 N - 72.0 N
= 13.0 N.
Then, calculate the acceleration:
a = Fnet/m
= 13.0 N / 36.0 kg
= 0.36 m/s².
The magnitude of the acceleration of the object is 0.36 m/s².