Calculating Vertical Force on a Fireman Sliding Down a Pole

AI Thread Summary
To calculate the vertical force exerted by the pole on a fireman sliding down, it's essential to consider both the gravitational force and the net force due to acceleration. The fireman has a weight of 980N (100kg x 9.8m/s²) acting downward. While the net force from his acceleration is 300N upward, the total force exerted by the pole must counteract both the weight and provide the net force, resulting in a total of 680N upward. The correct approach involves using the equation ∑F = ma to account for all forces acting on the fireman. Understanding these forces clarifies the discrepancy in the calculations.
Amelina Yoo
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Homework Statement


Fireman weighs 100kg. He slides down a vertical pole with acceleration 3.0ms^-2.

a) Magnitude and direction of vertical force exerted by the pole on fireman?

Homework Equations


f=ma

The Attempt at a Solution


[/B]
f=ma
f=100(3.0)
f=300N vertically up.

But the answer says that it is actually 680N vertically up, and I do understand how they came to this conclusion.
Can you please explain where to go beyond this point? Or point out a mistake I may have made? Thank you.

I also replaced with acceleration with gravity, which did not work.
 
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Your relevant equation is more correctly stated as:
∑F=ma

That is, the sum of all forces are equal to ma.
You found the net force from the firemans mass and acceleration, but you aren't asked for the net force, you are asked only for the force the pole exerts on the man.

What other force acts on the fireman?
What is it's magnitude? Can you use this information to solve for the poles force?
 
Amelina Yoo said:
f=100(3.0)
f=300N vertically up
And yet, that acceleration is vertically down. Strange, don't you think?
 
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