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AP EAMCET · PHYSICS · Laws of Motion

A person climbs up a conveyor belt with a constant acceleration. The speed of the belt is \(\sqrt{\frac{g h}{6}}\) and coefficient of friction is \(\frac{5}{3 \sqrt{3}}\). The time taken by the person to reach from A to B with maximum possible acceleration is

  1. A \(\sqrt{\frac{h g}{6}}\)
  2. B \(\sqrt{6 g h}\)
  3. C \(\sqrt{\frac{2 h}{g}}\)
  4. D \(\sqrt{\frac{6 h}{g}}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\sqrt{\frac{6 h}{g}}\)

Step-by-step Solution

Detailed explanation

Maximum possible acceleration of the person on the conveyor belt is \(a_{\max }=\frac{\mu m g \cos \theta-m g \sin \theta}{m}=g(\mu \cos \theta-\sin \theta)\)…