Q43: A girl of mass 50 kg, runs up a flight of 40 stairs, each measuring 20
cm, in 50 seconds. Calculate the power of the girl.
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Explanation,
Given,
- Mass (m) of a girl is 50 kg.
- Total Height (h) gained = 40 × 20 cm = 800 cm.
- Time taken (t) = 50 s
- Acceleration due to gravity (g) = 10 m/s²
To Find,
- The power of a girl.
Solution,
Firstly, convert cm into m.
⟹ Height (h) = 800 cm
⟹ h = 800/100
⟹ h = 8 m
We know that,
P = W/t
⟹ P = mgh/t
[ Put the values ]
⟹ P = 50 × 10 × 8 / 50
⟹ P = 500 × 8 / 50
⟹ P = 4000/50
⟹ P = 80 watt
Therefore,
The power of a girl is 80 watts.
Answered by
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- Mass (m) of a girl = 50 kg
- Total height (h) = 40 × 20 cm = 800 cm
- Time (t) = 50 s
- Acceleration due to gravity (g) = 10 m/s²
- The power of the girl.
Converting units,
Height (h) = 800 cm
→ h = 800/100
→ h = 8 m
We know that,
P = W/t
→ P = mgh/t
→ P = 50 × 10 × 8/50
→ P = 500 × 8/50
→ P = 4000/50
→ P = 80 W
Hence, the power of the girl is 80 W.
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