Question

A man whose mass is 60kg,walks up 15 steps , each 30cm high ,in 5s. find the power he develops.​

Answer 1

Given :

Mass of man = 60kg

He walks up 15 steps each of 30 cm high in t seconds.

• 30 cm = 0.3 m

To Find :

Power developed by man.

Solution :

❒ Power is measured as the rate of work done per unit time.

Mathematically, P = W / t

• P denotes power
• W denotes work
• t denotes time

First of all we need to find work done.

Worl done is defined as the product of force and displacement.

$\sf:\implies\:Work=Force\times Displacement$

$\sf:\implies\:W=(mg)\times (nl)$

• mg denotes weight of man
• n denotes number of steps
• l denotes length of each step

$\sf:\implies\:W=(60\times10)\times(15\times0.3)$

$\sf:\implies\:W=600\times4.5$

$\bf:\implies\:W=2700\:J$

Calculation of power :

$\sf:\implies\:P=\dfrac{W}{t}$

$\sf:\implies\:P=\dfrac{2700}{5}$

$:\implies\:\underline{\boxed{\bf{\purple{P=540\:W}}}}$

Answer 2

Answer:

Given :

Mass of man = 60kg

He walks up 15 steps each of 30 cm high in t seconds.

30 cm = 0.3 m

To Find :

Power developed by man.

Solution :

❒ Power is measured as the rate of work done per unit time.

Mathematically, P = W / t

P denotes power

W denotes work

t denotes time

First of all we need to find work done.

Worl done is defined as the product of force and displacement.