Chapter 3, Problem 11STP

To determine

The change in acceleration when the net force on the truck doesn’t changes.

Answer to Problem 11STP

The change in acceleration when the net force on the truck doesn’t changes is $a_2=2a_1$ .

Explanation of Solution

Given info:

The mass of the truck is one half as larger after hitting the bump.

Formula used:

The force is given by,

  $F=ma$

Calculation:

Write the equation to calculate the force on the truck before hitting.

  $F_1=m_1{a}_1$

Here,

• $F_1$ is the force of the truck before hitting
• $m_1$ is the mass of the truck before hitting
• $a_1$ is the acceleration of the truck before hitting.

Write the equation to calculate the force on the truck after hitting.

  $F_2=m_2{a}_2$

Here,

• $F_2$ is the force of the truck after hitting
• $m_2$ is the mass of the truck after hitting
• $a_2$ is the acceleration of the truck after hitting.

The net force remains same before and after hitting the bump.

  $F_1=F_2$

The mass of the truck is reduced to one half after hitting the bump.

  $m_1=2m_2$

Calculate the change in acceleration of the truck.

  $\begin{array}{c}{m}_1{a}_1=m_2{a}_2\\ =\frac{m_1}{2}{a}_2\\ a_2=2a_1\end{array}$

The acceleration after hitting is two times of the before hitting the lump.

Conclusion:

Hence, the change in acceleration when the net force on the truck doesn’t changes is $a_2=2a_1$ .