A girl of mass 40 kg climbs up stairs by spending 800 J of energy. How high does the girl climb up? [Take g = 10 ms²]
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Answers
Given :-
Mass of the girl = 40 kg
Potential energy of the girl = 800 J
To Find :-
Height climbed by the girl.
Analysis :-
Here we are given with the mass and the potential energy of the girl.
In order to find the height substitute the given values from the questions accordingly such that work done is equal to mass into gravity into height.
Solution :-
We know that,
- m = Mass
- w = Work done
- g = Gravity
- h = Height
Using the formula,
Given that,
Mass (m) = 40 kg
Gravity (g) = 10 m/s
Potential energy (PE) = 800 J
Substituting their values,
⇒ PE = mgh
⇒ 800 = 40 × 10 × h
⇒ 800 = 50 × h
⇒ h = 800/50
⇒ h = 80/5
⇒ h = 16 m
Therefore, the girl climbed 16 m.
Explanation:
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