Chapter 3, Problem 39R

To determine

The segments for which the forces on the car are balanced.

Answer to Problem 39R

The segments for which the forces on the car are balanced are B and D and the correct option is option (B).

Explanation of Solution

Introduction:

When an object moves in a straight line, the force due to inertia acts on the body.

The expression to determine the force due to inertia on a moving object is as follows.

  $\begin{array}{c}F=ma\\ F=m\frac{dv}{dt}\end{array}$

Here,

• $m$ is the mass of the object.
• $a$ is acceleration.
• $\frac{dv}{dt}$ is the rate of change in velocity with respect to time.

Force the segment B and D, the initial and final velocities are same. So, the rate of change in velocities will be zero. Therefore, the net forces for segment B and D will zero and forces will be balanced.

Conclusion:

Therefore, the segments for which the forces on the car are balanced are B and D.