An object of mass 2 kg rests on a smooth plane inclined at an angle of 30º to the horizontal. Take the acceleration due to gravity as g. The reaction force at right angles to the plane will be:
A) 0.87g N
B) 1g N
C) 1.73g N
D) 2g N

Question

Quizplus · Accepted Answer

The reaction force at right angles to the plane is equal to the normal force, which is the component of the gravitational force acting perpendicular to the inclined plane. This can be calculated as $mg \cos(\theta)$, where $m = 2 \, \text{kg}$, $g$ is the acceleration due to gravity, and $\theta = 30^\circ$. Using $\cos(30^\circ) = \sqrt{3}/2$, the reaction force is $2g \cdot \sqrt{3}/2 = \sqrt{3}g = 1.73g \, \text{N}$.

An Object of Mass 2 Kg Rests on a Smooth