A 40 kg girl runs up a flight of stairs that is 34 m high. How much work does this require?
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work=mgh
To calculate the work done, we need to use the formula:
Work = Mass * Gravity * Height
In this case, the mass of the girl is given as 40 kg and the height of the stairs is 34 m. The acceleration due to gravity on Earth is approximately 9.8 m/s^2.
So, we can calculate the work done by substituting these values into the formula:
Work = 40 kg * 9.8 m/s^2 * 34 m
First, multiply 40 kg by 9.8 m/s^2:
= 392 kg*m/s^2 * 34 m
Next, multiply 392 kg*m/s^2 by 34 m:
= 13,328 kg*m^2/s^2
Since the unit for work is Joule (J), we can express the answer as:
Work = 13,328 J
Therefore, it requires 13,328 Joules of work for the girl to run up the flight of stairs.