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COMEDK · Physics · 5. Laws of Motion

With what minimum acceleration can a fireman slide down a rope while breaking strength of the rope is \(\dfrac{2}{3}\) of the weight?

  1. A \(\dfrac{2}{3} g\)
  2. B \(g\)
  3. C \(\dfrac{1}{3} g\)
  4. D zero
Verified Solution

Answer & Solution

Correct Answer

(C) \(\dfrac{1}{3} g\)

Step-by-step Solution

Detailed explanation

Let \(m\) be the mass of the fireman and \(g\) be the acceleration due to gravity. The weight of the fireman is \(W = mg\). The breaking strength of the rope is given as \(T_{max} = \dfrac{2}{3} mg\). When the fireman slides down with an acceleration \(a\), the equation of…