a person carries a 58kg package of books up a flight of stairs
the length along the stairs is 24 meters
the vertical height of the stairs is 12 meters
how much work is done in raising the package
I know the answer is 6800 J but how to get????
work=m*g*h
where height is vertical height. g is the gravitational force field, 9.8N/kg
oh my gosh thank you so much this totally helped
To calculate the work done in raising the package up the flight of stairs, you can use the formula:
Work = Force × Distance × Height
First, let's calculate the force required to lift the package. The force needed is equivalent to the weight of the package, which can be found using the formula:
Force = Mass × Gravity
Given that the mass of the package is 58 kg and the acceleration due to gravity is approximately 9.8 m/s², we can calculate the force:
Force = 58 kg × 9.8 m/s² = 568.4 N
Next, we need to determine the distance the package is lifted along the stairs. In this case, the length along the stairs is 24 meters.
Now, we can calculate the work done using the formula:
Work = Force × Distance × Height
Height in this context refers to the vertical height of the stairs, which is given as 12 meters.
Work = 568.4 N × 24 m × 12 m
Multiplying these values, we get:
Work = 163495.2 J
However, notice that the answer you provided is 6800 J. It seems there may be a mistake in either the given answer or one of the provided values. Double-checking the calculation or confirming the correct value might be necessary to get the accurate answer.