An 80.0 kg person carries a 25N package up a flight of stairs. The vertical height of the stairs is 10.0 m. How much work is done to get the person with the package up the stairs?
To find the work done, we need to multiply the force applied by the distance over which the force is applied. In this case, the force applied is the weight of the person and the package, which can be calculated using the formula:
Force = mass * acceleration due to gravity.
The mass of the person is given as 80.0 kg, and the acceleration due to gravity is approximately 9.8 m/s^2.
Therefore, the weight of the person and the package is:
Force = 80.0 kg * 9.8 m/s^2 = 784 N.
Now, we need to find the distance over which the force is applied, which is the vertical height of the stairs given as 10.0 m.
Finally, we can calculate the work done using the formula:
Work = Force * Distance.
Plugging in the values, we have:
Work = 784 N * 10.0 m = 7840 J (joules).
So, the work done to get the person with the package up the stairs is 7840 joules.