A body of mass 50 kg runs up a staircase of 40
steps. Each step of height 15 cm Find the work done?
Answers
Explanation:
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Given :-
Mass of the bag = 10 kg
Number of steps = 18 steps
Height of each step = 20 cm
To Find :-
The work done by the girl.
Analysis :-
Here we are given with the mass, number of steps and height of each step.
Firstly, find the total height of the staircase by multiplying the number of steps and the height of each step.
In order to find the work done substitute the given values from the questions accordingly such that work done is equal to mass into gravity into height.
Solution :-
Total height,
Total height of the staircase = No. of steps × Height of each step
Substituting their values,
⇒ 18 × 20
⇒ 360 cm
Using the formula,
\underline{\boxed{\sf Work \ done=Mass \times Gravity \times Height}}
Work done=Mass×Gravity×Height
We know that,
m = Mass
w = Work done
g = Gravity
h = Height
Given that,
Mass (m) = 10 kg
Gravity (g) = 10 m/s
Height (h) = 360 cm = 3.6 m
Substituting their values,
⇒ w = mgh
⇒ w = 10 × 10 × 3.6
⇒ w = 100 × 3.6
⇒ w = 360 J
Therefore, the work done by the girl is 360 J.