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COMEDK · Physics · 5. Laws of Motion

A body of mass 10 kg is moving up on an inclined plane of \(30^{\circ}\) with an acceleration \(2 \mathrm{~ms}^{-2}\). Find the force required, if the coefficient of friction between the object and the plane surface is \(\dfrac{\sqrt{3}}{6}\), [given \(g=10 \mathrm{~ms}^{-2}\) ].

  1. A 1.95 N
  2. B 95 N
  3. C 19 N
  4. D 9.5 N
Verified Solution

Answer & Solution

Correct Answer

(B) 95 N

Step-by-step Solution

Detailed explanation

The forces acting on the body of mass \(m = 10\) kg moving up the inclined plane are the applied force \(F\) (acting up the plane), the component of gravitational force \(mg \sin \theta\) (acting down the plane), and the frictional force \(f_k\) (acting down the plane). The…
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