Final answer:
To find the force of friction, we can use Newton's second law. For a 32 kg object with an acceleration of 0.84 m/s^2 when pushed by a force of 86 N, the force of friction would be calculated as the difference between applied force and net force, which is 59.12 N. However, there seems to be a discrepancy, as this result does not match the provided options.
Step-by-step explanation:
To calculate the force of friction, we can use the formula F = ma, where F is the force, m is the mass, and a is the acceleration. Here, we have an object with a mass of 32 kg being pushed with a force of 86 N, while it accelerates at 0.84 m/s^2.
First, we calculate the net force acting on the object using its mass and acceleration:
F_net = m × a = 32 kg × 0.84 m/s^2 = 26.88 N
The net force is the difference between the applied force and the frictional force. Thus:
Friction = Applied Force - F_net = 86 N - 26.88 N = 59.12 N
This value is not precisely matching any of the answer choices; it looks like there might be a calculation error or typo in the question options, as none of the provided answers match the correct calculation. The closest value provided is (c) 54.1 N, but this is not the accurate result of the calculation. Therefore, we're unable to select a correct option from the given choices.