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Physics

Solve the following numericals.

(a) What is the mechanical advantage of a machine that lifts a load of 100 N with an effort of 20 N?

(b) What is the effort required if the mechanical advantage is 9 and the load is 81 N?

Machines

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Answer

(a) Given,

  • Load = 100 N
  • Effort = 20 N

As,

Mechanical Advantage (M.A.)=LoadEffort⇒M.A.=10020⇒M.A.=5\text {Mechanical Advantage (M.A.)} = \dfrac{\text {Load}}{\text {Effort}}\\[1em] \Rightarrow \text {M.A.} = \dfrac {100}{20}\\[1em] \Rightarrow \text {M.A.} = 5

(b)

Given,

  • Mechanical advantage = 9
  • Load = 81 N

As,

Mechanical Advantage (M.A.)=LoadEffort⇒Effort=LoadM.A.=819⇒Effort=9\text {Mechanical Advantage (M.A.)} = \dfrac{\text {Load}}{\text {Effort}}\\[1em] \Rightarrow \text {Effort} = \dfrac{\text {Load}}{\text {M.A.}}\\[1em] = \dfrac {81}{9}\\[1em] \Rightarrow \text {Effort} = 9

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