Answer:
You will do twice the work of climbing 1 stair.
Explanation:
To obtain the answer to the question, we shall determine the work done on each case. This is illustrated below:
Case 1 ( climbing 2 stairs):
Mass (m) = m
One stair = 4 m
Height (h) = 2 × 4 = 8 m
Acceleration due to gravity (g) = 10 m/s²
Workdone 1 (Wd₁) =?
Wd₁ = mgh
Wd₁ = m × 10 × 8
Wd₁ = 80 × m
Case 2 (Climbing 1 stair)
Mass (m) = m
Height (h) = 4 m
Acceleration due to gravity (g) = 10 m/s²
Workdone 2 (Wd₂) =?
Wd₂ = mgh
Wd₂ = m × 10 × 4
Wd₂ = 40 × m
Now comparing the Workdone in both case:
Workdone 1 (Wd₁) = 80 × m
Workdone 2 (Wd₂) = 40 × m
Wd₁ / Wd₂ = 80 × m / 40 × m
Wd₁ / Wd₂ = 2
Cross multiply
Wd₁ = 2 × Wd₂
Thus, we can see that the Workdone in climbing 2 stairs is twice the Workdone in climbing 1 stair.
Therefore, you will do twice the work of climbing 1 stair.
