Respuesta :
Answer:
The number of flight of stairs is 12
Solution:
As per the question:
Mass, m = 88 kg
Acceleration due to gravity, g = [tex]10\ m/s^{2}[/tex]
Height, h = 2.1 m
Power of a bulb, P = 60 W
Time taken to consume the energy, t = 1 h = [tex]60\times 60 = 3600\ s[/tex]
Now,
To calculate the number of stairs:
Calculate the work done:
Here, work done is equal to the potential energy of the system:
Work done, W = mgh
[tex]W = 88\times 10\times 2.1 = 1848\ J[/tex]
Energy consumed by a 60 W bulb, E = Pt = [tex]60\times 3600 = 21600\ J[/tex]
Now, the number of stairs can be calculated as:
[tex]n = \frac{Energy consumed, E}{Work done, W}[/tex]
[tex]n = \frac{21600}{1848} = 11.6[/tex] ≈ 12
The number of flights of stairs you would have to climb to equal the work of the lightbulb in this time is approximately 117 stairs.
Given the following data:
- Mass = 88 kg
- Acceleration of gravity = 10 [tex]m/s^2[/tex]
- Height of stairs = 2.1 meters.
- Power = 60 Watt
- Time = 1 hour
To determine the number of flights of stairs you would have to climb to equal the work of the lightbulb in this time:
First of all, we would calculate the work done in climbing a flight of stairs that is 2.1 meters high.
The formula for work done.
Mathematically, work done is given by the formula:
[tex]Work\;done = mgh\\\\Work\;done = 88 \times 10 \times 2.1[/tex]
Work done = 1,848 Joules.
Next, we would calculate the quantity of energy consumed by the lightbulb:
Note: Time = 1 hour to seconds = [tex]60 \times 60[/tex] = 3600 seconds.
The formula for energy.
Mathematically, energy is given by the formula:
[tex]Energy = power \times time\\\\Energy = 60 \times 3600[/tex]
Energy = 216,000 Joules.
Now, we can calculate the number of flights of stairs you would have to climb to equal the work of the lightbulb in this time:
[tex]Flights = \frac{Energy}{Work\;done} \\\\Flights = \frac{216000}{1848}[/tex]
Flights = 116.88 ≈ 117 stairs.
Read more on work done here: https://brainly.com/question/22236101
