1. Tardigrade
  2. Question
  3. Physics
  4. A particle is given a certain velocity v at point P as shown on a hemispherical smooth surface. What is the value of v (in m / s ) such that when the particle reaches point Q, the normal reaction of the surface becomes equal to the weight of the particle? (Radius of hemisphere, R=1.6 m, g=10 m / s 2 )

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A particle is given a certain velocity $v$ at point $P$ as shown on a hemispherical smooth surface. What is the value of $v$ (in $m / s$ ) such that when the particle reaches point $Q$, the normal reaction of the surface becomes equal to the weight of the particle? (Radius of hemisphere, $R=1.6\,m, g=10 \,m / s ^{2}$ )Physics Question Image

Work, Energy and Power

Solution:

$N=m g $
$\Rightarrow v_{f}=0$
$m g \frac{R}{2}=\frac{1}{2} m v_{i}^{2} $
$\Rightarrow v=\sqrt{g R}=4\, m / s$