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A person of mass 60 kg wants to lose 5 kg by going up and down a 10m high stairs. Assume he burns twice as much fat while going up than coming down. If 1 kg of fat is burnt on expending 7000 kilo calories, how many times must he go up and down to reduce his weight by 5 kg?

0 2 Views | Posted 4 months ago
Asked by Shiksha User

  • 1 Answer

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    Answered by

    Payal Gupta | Contributor-Level 10

    4 months ago

    This is a short answer type question as classified in NCERT Exemplar

    Height of stairs h= 10m

    Energy produced by burning 1 kg of fat = 7000Kcal

    Energy produced by burning 5kg of fat = 5 × 7000 = 35000 K c a l

    Energy utilised in going up and down one time

    = mgh + 1 2 m g h = 3 2 m g h

    = 3 2 × 60 × 10 × 10

    = 9000J= 9000/4.2=3000/1.4cal

    Number of times, the person has to go up and down the stairs

    = 35 × 10 6 3000 1.4 = 3.5 × 1.4 × 10 6 3000  = 16.3 × 10 3 times

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