Question

An athlete weighing in 5Hkg runs up a staircase having 10 steps each of height 0.2m in 30s
calculate power (take g=9.8ms^2)​

Answer 1

Answer:

326.66666.... watts

Explanation:

Given:

• Weight of athlete = 500 kg
• No.of steps crossed = 10
• Height of each step = 0.2 m
• Time taken to cross the steps = 30 seconds
• G = 9.8 m/s²

To find:

• Power

Power = $\frac{Work \ done}{Time}$

Work done = m×g×h (in this case)

First let us find the height (or) distance:

Distance = No. of steps × Height of each step

Distance = 10×0.2

Distance = 2 metres

Work done = m×g×h

Work done = 500×9.8×2

Work done = 9800 Joules

Power = $\frac{9800}{30}$

Power = 326.666...Watts

The power is equal to 326.666... watts

Answer 2

Given :-

Weight of athlete= 500 kg

Number of steps = 10

Height of each step = 0.2m

Time taken = 30 seconds

g= 9.8m/s^2

• We have to find the power !

We know that

$\boxed{\sf\ Power= \dfrac{Work\ done}{Time}}$

• Work done = M×g×h

• Find height covered by athlete

Height = Number of steps × height of each step

Height = 10×0.2

Height = 2 m

• First find the work done

W = m×g×h

W= 500× 9.8×2

W= 1000×9.8

Work done = 9800 Joule

Now find the power

$\longrightarrow\sf Power= \dfrac{ Work \ done}{Time }\\ \\ \longrightarrow\sf Power = \cancel{\dfrac{9800}{30}}\\ \\ \longrightarrow\sf Power= 326.667 \ watts$

$\boxed{\sf{ Power = 326.667 \ watts}}$