Math, asked by pla53, 3 months ago

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Answered by BrainlyEmpire
153

Correct Question:-

A boy of weight 50 N runs up a staircase of 45 steps in 9 s. The height of each step is 10 cm, so his power is

Answer:-

\green{\bigstar} Power of the boy \large\leadsto\boxed{\tt\purple{250 \: W}}

• Given:-

Weight of the boy = 50 N

Number of steps in staircase = 45

Height of each step = 10 cm = 0.1 m

Time taken = 9 sec.

• To Find:-

Power of the boy.

• Solution:-

We know,

\blue{\bigstar} \large\underline{\boxed{\bf\red{P = \dfrac{W}{T}}}}

where,

P = Power

W = Work done

T = Time taken

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Also,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

\blue{\bigstar} \large\underline{\boxed{\bf\red{W = mgh}}}

where,

W = Work done

mg = weight of the body

h = Displacement

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Hence, the final formula:-

\blue{\bigstar} \large\underline{\boxed{\bf\red{P = \dfrac{mgh}{t}}}}

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• Substituting in the Formula:-

\sf P = \dfrac{50 \times 10 \times 0.1 \times 45}{9} \\

\sf P = \dfrac{500 \times 0.1 \times 45}{9} \\

\sf P = \dfrac{50 \times 45}{9} \\

\sf P = \dfrac{2250}{9} \\

\large\underline{\underline{\bf\pink{P = 250 \: W}}} \\

Therefore, the Power of the boy will be 250 W.

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Answered by chocolate096
1

Step-by-step explanation:

5\times \frac{2}{5} = 25×

5

2

=2

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