A student weighing 700 N climbs at constant speed to the top of an 8 m vertical rope in 10 s. The average power expended by the student to overcome gravity is most nearly?

a. 1.1 Wb. 87.5 Wc. 560 Wd. 875 We. 5600 W

Respuesta :

The required "option c) 560 W" is correct.

Explanation:

A student weighing (W) = 700 N,  

The constant speed to the top of vertical rope (ΔV) = 8 m and

Time (T) = 10 s

To find, the average power expended by the student to overcome gravity (most nearly) = ?

We know that,

Power = [tex]\dfrac{Work}{Time}[/tex]

= [tex]\dfrac{(Weight)(Vertical rise)}{Time}[/tex]

= [tex]\dfrac{W\delta V}{T}[/tex]

= [tex]\dfrac{700N(8m)}{10s}[/tex]

= 70 × 8 W

= 560 W

∴ The average power expended by the student to overcome gravity (most nearly) = 560 W

Thus, the required "option c) 560 W" is correct.