Chapter 5, Problem 7RAT

Which of the following equations best illustrates the usefulness of automobile air bags?

(a) $a=F/m$

(b) $Ft=\Delta mv$

(c) $d=1/2g{t}^2$

(d) $d=vt$

To determine

The correct option for the statement, “Which of the following equations best illustrates the usefulness of automobile air bags?”

Answer to Problem 7RAT

The correct option for the statement, “Which of the following equations best illustrates the usefulness of automobile air bags?” is option (c).

Explanation of Solution

When the car is moving, it has momentum due to its mass and velocity with which it is moving. When the collision takes place, the airbag helps to increases the impact time of a person sitting inside. Since the time of impact is increased, a smaller impact force is experienced by the person.

Write the expression for the relation between the change in momentum and impulse.

$\begin{array}{c}I=\Delta p\\ Ft=\Delta mv\end{array}$

Here,

$F$ is the force

$t$ is the time

$m$ is the mass

$v$ is the velocity

Conclusion:

Therefore, the correct option for the statement, “Which of the following equations best illustrates the usefulness of automobile air bags?” is option (c).