Question

A 60 kg person climbs stairs of total height of 20 m in two minutes , calculates the power delivered.

Answer 1

Given :-

Total weight of the person = 60 kg

Total height = 20 m

Time taken to climb = 2 min

To Find :-

Calculate the power delivered.

Solution:-

We know that,

• w = Work
• p = Power
• t = Time

By the formula,

$\underline{\boxed{\sf Power=\dfrac{Work \ done}{Total \ time} }}$

Given that,

Work done (w) = (60)(10)(20)

Total time (t) = (2×60)

Substituting their values,

p = (60)(10)(20)/ (2×60)

p = 12000/120

p = 100 W

Therefore, the power delivered is 100 watts.

Answer 2

Answer:

✯ Given :-

• A 60 kg person climbs stairs of total height of 20 m in 2 mins.

✯ To Find :-

• Calculate the power delivered.

✯ Formula Used :-

$\boxed{\bold{\large{Power\: =\: \dfrac{Work\: done}{Total\: time\: taken}}}}$

✯ Solution :-

⋆ Given :-

• Mass of a person = 60 kg
• Height = 20 m
• Time = 2 mins = 2 × 60 = 120 seconds

➣ According to the question by using the formula we get,

⇒ P = $\dfrac{60 × 10 × 20}{120}$

⇒ P = $\sf\dfrac{\cancel{12000}}{\cancel{120}}$

➠ P = 100 watts

$\therefore$ The power delivered is 100 watts .

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