Final answer:
The work done by the person while climbing up the ladder is 40853 J. The power exerted by the person is approximately 314.25 W.
Step-by-step explanation:
To find the work done by a person climbing stairs, we can use the formula:
Work = Force × Distance
In this case, the force exerted by the person is equal to their weight, and the distance climbed is the height of the stairs. So the work done by the person is:
Work = Weight × Height
Now, we can substitute the given values:
Work = 805 N × 50.6 m
Therefore, the work done by the person while climbing up the ladder is 40853 Nm or 40853 J.
To find the power exerted by the person, we can use the formula:
Power = Work / Time
Substituting the given values:
Power = 40853 J / 130 s
Therefore, the power exerted by the person while climbing up the ladder is approximately 314.25 W.