Question

a man of mass 50kg can climb 30 steps in 10 seconds. the height of each step is0.2m.find his power

Answer 1

$\huge\underline\blue{\sf Answer:}$

$\large\red{\boxed{\sf Power(P)=294\:Watt }}$

$\huge\underline\blue{\sf Solution:}$

$\large\underline\pink{\sf Given: }$

• Mass (m) = 50

• Total number of steps = 30

• Height of each step = 0.2m

• Time (t) = 10sec

$\large\underline\pink{\sf To\:Find: }$

• Power (P) = ?

━━━━━━━━━━━━━━━━━━━━━━━━━━

Each step = 0.2m

Therefore

30 steps (h) = 30 × 0.2 => 6m

We know that ,

$\large{♡}$$\large{\boxed{\sf Power(P)={\frac{Work}{Time}}}}$

Work (W) = Force × Distance

{ Force = mg }

Therefore,

$\large\implies{\sf W=m×g×h}$

$\large\implies{\sf 50×9.8×6}$

$\large{\boxed{\sf W=2940J}}$

$\large\implies{\sf Power(P)={\frac{2940}{10}}}$

$\large\implies{\sf P= 294 Watt}$

$\huge\red{♡}$$\large\red{\boxed{\sf Power(P)=294\:Watt }}$