A firefighter with a mass of 52 kg slides down a vertical pole with an acceleration of 3 m/s/s . The acceleration of gravity is 10 m/s/s. What is the friction force that is acting on him

net force=mass*a

mg-friction=mass*a
friction=mg-ma=m(g-a)

To find the friction force acting on the firefighter, we need to first calculate the net force acting on the firefighter while sliding down the pole.

The net force is given by the equation:

Net Force = Mass * Acceleration

In this case, the acceleration is the difference between the acceleration due to gravity and the acceleration of the firefighter:

Net Force = Mass * (Acceleration due to gravity - Acceleration of the firefighter)

Given that the mass of the firefighter is 52 kg, the acceleration due to gravity is 10 m/s^2 and the acceleration of the firefighter is 3 m/s^2:

Net Force = 52 kg * (10 m/s^2 - 3 m/s^2)

Calculating the net force:

Net Force = 52 kg * 7 m/s^2

Net Force = 364 N

Since the firefighter is sliding down the pole, the friction force is acting in the opposite direction to the net force. Therefore, the friction force is also 364 N.

To find the friction force acting on the firefighter, we can use Newton's second law of motion, which states: the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the net force is the sum of the gravitational force and the friction force.

The gravitational force can be calculated using the formula: gravitational force = mass * acceleration due to gravity.

First, let's calculate the gravitational force:
Gravitational force = 52 kg * 10 m/s^2 = 520 N.

Since the firefighter is sliding down the pole, we know that the friction force is acting in the opposite direction to the motion. Therefore, it opposes the gravitational force, resulting in a net force that causes the downward acceleration.

Now, let's calculate the net force:
Net force = mass * acceleration = 52 kg * 3 m/s^2 = 156 N.

Since the net force is the sum of the gravitational force and the friction force, we can express it as follows:
Net force = gravitational force - friction force.
156 N = 520 N - friction force.

To find the friction force, we rearrange the equation:
friction force = gravitational force - net force = 520 N - 156 N = 364 N.

Therefore, the friction force acting on the firefighter is 364 N.