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16 April, 19:00

What load could be lifted by a 5 m long lever with a fulcrum 2m from the load if the effort is 30 N?

75 N

12 N

45 N

20 N

+4
Answers (2)
  1. 16 April, 19:28
    0
    The answer is 45N Ive this problem before
  2. 16 April, 22:57
    0
    F₁ = effort applied = 30 N

    F₂ = load applied = ?

    r₁ = distance of effort force from the fulcrum = ?

    r₂ = distance of load force from the fulcrum = 2 m

    L = length of the lever = 5 m

    from the diagram, we see that

    L = r₁ + r₂

    inserting the values

    5 m = r₁ + 2 m

    r₁ = 5 m - 2 m

    r₁ = 3 m

    using equilibrium of torque about the fulcrum from the diagram

    F₁ r₁ = F₂ r₂

    inserting the values

    (30) (3) = F₂ (2)

    F₂ = 90/2

    F₂ = 45 N

    hence the correct choice is 45 N
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