How Is the Vertical Force on a Sliding Fireman Calculated?

In summary, the fireman, who weighs 100kg, slides down a vertical pole with an acceleration of 3.0ms^-2. The magnitude and direction of the vertical force exerted by the pole on the fireman can be calculated using the formula f=ma. However, the correct answer is 680N vertically up, not 300N. To understand why, a free body diagram needs to be drawn to identify all the forces acting on the fireman and how they combine to make up the net force.
  • #1
Amelina Yoo
14
0

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


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.
 
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  • #2
The acceleration of a mass depends upon the net force acting on the mass. Draw a free body diagram and identify all the forces that are acting on the fireman. How do the acting forces combine to make up the net force?
 

FAQ: How Is the Vertical Force on a Sliding Fireman Calculated?

1. What is vertical force?

Vertical force is the force that acts in an upward or downward direction perpendicular to the surface of an object. It is also known as the y-component of a force in a two-dimensional coordinate system.

2. How is vertical force calculated?

Vertical force is calculated by multiplying the mass of an object by the acceleration due to gravity (9.8 m/s2). This is known as the formula F = mg, where F is the force, m is the mass, and g is the acceleration due to gravity.

3. What is the importance of finding the vertical force?

Finding the vertical force is important in understanding the stability and motion of objects in a vertical direction. It is also crucial in engineering and design, as it helps determine the amount of weight a structure can support.

4. Can vertical force be negative?

Yes, vertical force can be negative if it acts in the downward direction. This usually occurs when an object is falling or being pulled towards the ground by gravity.

5. How does air resistance affect vertical force?

Air resistance can decrease the amount of vertical force acting on an object, as it creates an opposing force in the opposite direction of the object's motion. This is especially important for objects with large surface areas, such as parachutes, where air resistance can significantly impact the object's motion.

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