A 62.0-kg woman runs up a flight of stairs having a rise of 4.28 m in a time of 4.20 s. What average power did she supply? a) 63.2 W b) 619 W c) 596 W d) 629 W e) 609 W

Respuesta :

Answer:

The average power is 619 W.

(B) is correct option

Explanation:

Given that,

Weight = 62.0 kg

Height = 4.28 m

Time t = 4.20 s

We need to calculate the work done

Work done by woman

[tex]W=mgh[/tex]

Where,

m = mass

g = acceleration due to gravity

t = time

Put the value into the formula

[tex]W=62\times9.8\times 4.28[/tex]

[tex]W=2600.528 J[/tex]

We need to calculate the power

Using formula of power

[tex]P=\dfrac{W}{t}[/tex]

Where,

W = work done

t = time

Put the value in to the formula

[tex]P=\dfrac{2600.528}{4.20}[/tex]

[tex]P=619\ W[/tex]

Hence, The average power is 619 W.