Work done climbing a flight of stairs.

In summary, the work required for a 58 kg firefighter to climb a flight of stairs 5.3 m high can be calculated using the equation for gravitational potential energy (mgh). With the given mass and height, the work is equivalent to 3.0 x 10^3 J or 3000J, with two significant figures. The firefighter's weight on Earth is also needed to calculate the force required for the work.
  • #1
fattydq
79
0
A 58 kg firefighter climbs a flight of stairs 5.3 m high. How much work is required?

I know work is just force times distance, but I'm not given a force? And I can't really find a force because force is mass times acceleration and I'm not given an acceleration...help!
 
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  • #2
Do you know about gravitational potential energy?

Actually you are given a force, if he has a mass of 58kg (you must have some skinny firemen!) and he is on Earth, how much does he weigh?
 
  • #3
mgb_phys said:
Do you know about gravitational potential energy?

Actually you are given a force, if he has a mass of 58kg (you must have some skinny firemen!) and he is on Earth, how much does he weigh?

9.8 times 58...so 568.4 N right? Then 568.4 times 5.3m and you get 3012.52, yes? Would the unit be joules?
 
  • #4
Yes - but think about how many significant figures you should have

The equation for potential energy = m g h
As you said this is the same as force (mg) * distance (h)
And yes J = N m = kg m^2/s^2
 
  • #5
Would it just be 3.0 times 10^3 in correct sig figs?
 
Last edited:
  • #6
?
 
  • #7
Yes, you have 2 sig figures for the mass and height so it's two sig figures for the answer.
So formally 3.0 x 10^3 J or 3000J would probably be ok.
 

What does "work done climbing a flight of stairs" mean?

"Work done climbing a flight of stairs" refers to the amount of energy expended by an individual while ascending a set of stairs. This energy is typically measured in joules and is a result of the force required to move the body against gravity.

How is the amount of work done climbing a flight of stairs calculated?

The amount of work done climbing a flight of stairs is calculated by multiplying the force applied to move the body by the distance traveled vertically. This can be represented by the equation W = Fd, where W is work, F is force, and d is distance.

Is climbing stairs considered a form of exercise?

Yes, climbing stairs is considered a form of exercise as it requires physical effort and can increase heart rate and muscle activity. It also provides health benefits such as improved cardiovascular fitness and leg strength.

Does the amount of work done climbing a flight of stairs vary based on the individual's weight?

Yes, the amount of work done climbing a flight of stairs can vary based on an individual's weight. A heavier individual may require more force to move their body against gravity, resulting in a higher amount of work being done compared to a lighter individual.

What factors can affect the amount of work done climbing a flight of stairs?

The amount of work done climbing a flight of stairs can be affected by factors such as the individual's weight, the height and angle of the stairs, the speed at which they climb, and their overall fitness level. Additionally, the presence of any physical limitations or assistance (such as using a handrail) can also impact the amount of work done.

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