Q5-18DQ - University Physics with Modern Physics

Question

The centrifugal force is not included in the free-body diagrams of Figs. 5.34b and 5.35. Explain why not.

Step-by-Step Solution

Answer

There is a maximum velocity at the very bottom of the earth as it falls from the upper to the lower point. The net force also decreases along with the increasing radius of the curvature.

Step 1: Significance of the centrifugal force

The centrifugal force is the force that arises from the inertia of a body. The centrifugal force is directly proportional to the mass, angular velocity, and distance of an object from its starting point.

Step 2:Determination of the reason for not including the centrifugal force

The equation of the centrifugal force is expressed as:

 

$F=\frac{m{v}^2}{R}$

 

Here,$F$ is the centrifugal force,$m$ is the mass,$R$ is the loop’s radius of curvature, and $v$ is the velocity of that force.

 

According to the above equation, the centrifugal force is inversely proportional to the loop’s radius of curvature.

Thus, there is a maximum velocity at the very bottom of the earth as it falls from the upper to the lower point. The net force also decreases along with the increasing radius of the curvature