1. Tardigrade
  2. Question
  3. Physics
  4. An object of mass m is allowed to fall from rest along a rough inclined plane. The speed of the object reaching the bottom of the plane is proportional to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. An object of mass $m$ is allowed to fall from rest along a rough inclined plane. The speed of the object reaching the bottom of the plane is proportional to

JIPMERJIPMER 2012Work, Energy and Power

Solution:

image
From work energy principle,
$\frac{1}{2} mv^2 = mgh - f \times s$
$=mgh - (\mu mg \cos \theta ) \times \frac{h}{\sin \,\theta}$
$v = \sqrt{2gh - 2 \mu gh \cot \theta}$
Hence, $v \propto m^0$