A 85-Kg firefighter climbs up a ladder at a constant speed of 2.5 m/s. What average power does the firefighter expend to overcome gravity?
Force * distance/ time
85 * 9.8 * 2.5 Joules/second or Watts
1960
To calculate the average power expended by the firefighter to overcome gravity, we need to use the equation:
Average Power = Force * Velocity
The force needed to overcome gravity can be found using the formula:
Force = Mass * Acceleration due to gravity
The acceleration due to gravity on Earth is approximately 9.8 m/s^2.
First, let's calculate the force:
Force = 85 kg * 9.8 m/s^2
= 833 N
Now, we can calculate the average power:
Average Power = Force * Velocity
= 833 N * 2.5 m/s
= 2083 Watts
Therefore, the average power expended by the firefighter to overcome gravity is 2083 Watts.
To calculate the average power exerted by the firefighter to overcome gravity, we need to use the formula:
Power = (Force × Distance) ÷ Time
In this case, the force exerted by the firefighter is equal to their weight, which is given by the formula:
Force = mass × acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s². So, the force exerted by the firefighter will be:
Force = 85 kg × 9.8 m/s²
Next, we need to calculate the distance the firefighter climbs. This can be done by using the formula:
Distance = Speed × Time
In this case, the speed of the firefighter is 2.5 m/s. The time (or duration) is not mentioned in the given question, so we'll need that information to provide a specific answer. However, we can still calculate the average power using the given information by considering a specific time period.
Let's assume the firefighter climbs for 10 seconds. The distance covered in this case is:
Distance = 2.5 m/s × 10 s
Finally, we can substitute the calculated values into the power formula to find the average power:
Power = (Force × Distance) ÷ Time
Note: Remember to convert the values to the appropriate units if needed.
Using the given assumptions, the calculations will look like this:
Force = 85 kg × 9.8 m/s²
Distance = 2.5 m/s × 10 s
Power = (Force × Distance) ÷ Time
This will give you the average power exerted by the firefighter to overcome gravity.