Question

boy weighing 40 kg carries a bag of 20 kg climbs stairs in 6 s. If there are 12 steps in the stairs, each of 15 cm height. Calculate the power of the boy. ​

Answer 1

Answer:-

➲ Given:-

• Mass of boy = 40 kg

• Mass of bag = 20 kg

• Time taken to cover stairs = 6s

• Number of steps in stairs = 12 steps

• Height of eachs steps in stair = 15cm = 0.15m

➲ To Find:-

• Power of the body

➲ Solution:-

★ Finding work done by body

↝ Total mass

= Weight of boy + mass of bag

= 40 + 20

= 60 kg

↝ Total Height of 12 steps

= Height of each step × number of step

= 0.15 × 12

= 1.8 m

So,

↝ Potential Energy

= mass × acceleration due to gravity × Height

= 60 × 10 × 1.8

= 600 × 1.8

= 1080

Hence, work done by bodg is 1080J.

★ Finding the power of body

↝ Power

= Work done ÷ Time

= 1080 ÷ 6

= 180

Hence, power of the body is 180 Watt.

Answer 2

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boy weighing 40 kg carries a bag of 20 kg climbs stairs in 6 s. If there are 12 steps in the stairs, each of 15 cm height. Calculate the power of the boy.

$\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}$

Given:

Mass of boy = 40 kg

Mass of bag = 20 kg

Time taken to cover stairs = 6s

Number of steps in stairs = 12 steps

Height of eachs steps in stair = 15cm = 0.15m

We have to fínd:

' power '.

calculating work done:

➪Total mass

= Weight of boy + mass of bag

= 40 + 20

= 60 kg

➪ Total Height of 12 steps

= Height of each step × number of step

= 0.15 × 12

= 1.8 m

So,

➪Potential Energy

= mass × acceleration due to gravity × Height

= 60 × 10 × 1.8

= 600 × 1.8

= 1080

Hence, work done by bodg is 1080J.

➪Finding the power of body

= Work done ÷ Time

= 1080 ÷ 6

= 180

Therefore , power of the body is

$\bold{\huge{\fbox{\color{maroon}{180.watt}}}}$

$\sf\red{hope\:it\:helps\:you}$