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A Fireman has to carry an injured person of mass 40 kg from the top of a building with the help of the Rope which can with stand A Load of hundred kg the acceleration of the fire man if his mass is 80 kg will be​

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Mass of man = 40kg

Mass of fireman = 80 kg

To find :

The acceleration of the fire man

Solution :

  • Total mass = 120 kg
  • Maximum Tension = 100×9.8
  • The total weight of persons = 120×(g-a)
  • The total weight should not exceed maximum  tension

             120×(9.8-a) = 100×9.8

  • By solving the above equation a = 1.63 m/s²

The acceleration of the fire man is 1.63 m/s²

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