Calculate the Kinetic Frictional Force

The frictional force is the force that opposes the motion of the fireman down the pole. It is equal in magnitude and opposite in direction to the net force. Therefore, the magnitude of the frictional force exerted on the fireman as he slides down the pole is 19.8 N.
  • #1
SRooney
Member warned to use the homework template for posts in the homework sections of PF.
The alarm at a fire station rings and a 71.3-kg fireman, starting from rest, slides down a pole to the floor below (a distance of 3.63 m). Just before landing, his speed is 1.42 m/s. What is the magnitude of the kinetic frictional force exerted on the fireman as he slides down the pole?

Givens:
m = 71.3 kg
d = 3.63 m
Vf = 1.42 m/sd = Vf(t)/2
a = Vf/t
F = ma


3.63 m = 1.42 m/s (t) /2
7.26 m = 1.42 m/s (t)
t = 5.113 s

a =1.42 m/s /5.113 s
a = .278 m/s^2

F = 71.3 kg (.278 m/s^2)
F = 19.8 N

But that's not the answer
 
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  • #2
SRooney said:
The alarm at a fire station rings and a 71.3-kg fireman, starting from rest, slides down a pole to the floor below (a distance of 3.63 m). Just before landing, his speed is 1.42 m/s. What is the magnitude of the kinetic frictional force exerted on the fireman as he slides down the pole?

Givens:
m = 71.3 kg
d = 3.63 m
Vf = 1.42 m/sd = Vf(t)/2
a = Vf/t
F = ma


3.63 m = 1.42 m/s (t) /2
7.26 m = 1.42 m/s (t)
t = 5.113 s

a =1.42 m/s /5.113 s
a = .278 m/s^2

F = 71.3 kg (.278 m/s^2)
F = 19.8 N

But that's not the answer
I didn't check your calculations but the force you have calculated is the "net force" on the fireman's body. You are asked to find the frictional force.
 

1. What is kinetic friction?

Kinetic friction is the force that opposes the relative motion of two objects that are in contact with each other. It is caused by the microscopic roughness of the surfaces in contact, which results in interlocking and resistance to motion.

2. How is kinetic friction different from static friction?

Kinetic friction occurs when two objects are in motion relative to each other, while static friction occurs when there is no relative motion between the objects. In other words, kinetic friction acts to slow down a moving object, while static friction acts to prevent an object from moving.

3. How do you calculate the kinetic frictional force?

The kinetic frictional force can be calculated using the formula Fk = μk * N, where Fk is the kinetic frictional force, μk is the coefficient of kinetic friction, and N is the normal force between the two objects in contact.

4. What factors affect the magnitude of kinetic friction?

The magnitude of kinetic friction depends on the coefficient of kinetic friction, the normal force between the objects, and the surface properties of the materials in contact. Rougher surfaces and higher normal forces result in a higher kinetic frictional force.

5. How is the coefficient of kinetic friction determined?

The coefficient of kinetic friction is determined experimentally by measuring the force required to keep an object in motion at a constant velocity on a given surface. It is a dimensionless value that varies depending on the materials in contact and the surface properties.

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