Chapter 6.3, Problem 27PP

To determine

Caterpillar’s velocity relative to ground.

Answer to Problem 27PP

  $v_{cg}=0.73\text{m/s}$

Explanation of Solution

Given:

Velocity of wagon relative to ground is $v_{wg}=0.75\text{m/s}$

Velocity of caterpillar relative to wagon rear is $v_{cw}=2\text{cm/s = 0}\text{.02 m/s}$

Formula Used:

Caterpillar’s velocity relative to groundcan be obtained by:

  $v_{cg}=v_{wg}+v_{cw}$

Where, $v_{wg}$ is the relative velocity f wagon wit respect to ground and $v_{cw}$ is the relative velocity of caterpillar with respect to wagon.

Calculations:

Since caterpillar is crawling towards rear of wagon, so its velocity is taken as negative.

  $\begin{array}{c}{v}_{cg}=0.75-0.02\\ =0.73\text{m/s}\end{array}$

Conclusion:

So, caterpillar’s velocity relative to ground is $v_{cg}=0.73\text{m/s}$ .