tikabbouche8936 tikabbouche8936
  • 10-06-2021
  • Mathematics
contestada

Ahman has to pull in 25 m of rope to raise a 200-N weight 5 m using a pulley system. How much force does Ahman use to lift the weight?

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onyebuchinnaji
onyebuchinnaji onyebuchinnaji
  • 12-06-2021

Answer:

The force Ahman uses to lift the load is 40 N

Step-by-step explanation:

Given;

force applied to the load, F₂ = 200 N

distance moved by the load, d₂ = 5 m

let the effort applied by Ahman, = F₁

distance moved by the effort, d₁ = 25 m

Apply the principle of conservation of energy;

Input work (J) = Output work (J)

F₁d₁ = F₂d₂

F₁ = (F₂d₂) / d₁

F₁ = (200 x 5) / 25

F₁ =  40 N

The force Ahman uses to lift the load is 40 N

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