Chapter 2, Problem 45R

To determine

parameter that represents the greatest speed.

Answer to Problem 45R

  $\text{200}\text{m/s}$ is faster than other two.

Explanation of Solution

Given:

The given speeds are $20\text{m/s}$ , $200\text{cm/s}$ , and $0.2\text{km/s}$ .

Formula:

  $\text{1m}\text{=}\text{100}\text{cm}$ .

  $\text{1}\text{km}\text{=1000}\text{m}$ .

Convert all the given speed in SI form,

Used the formula mentioned above, to convert the given speed,

  $\text{20}\text{m/s}$

  $\begin{array}{l}\text{200}\text{cm/s}=200\frac{\text{cm}}{\text{s}}\times \frac{{10}^{-2}\text{m}}{1\text{cm}}\\ \text{200}\text{cm/s}=2\text{m/s}\end{array}$

  $\begin{array}{l}0.2\text{km/s}\text{=}0.2\text{km/s}\times \frac{{10}^3\text{m}}{1\text{km}}\\ 0.2\text{km/s}\text{=}200\text{m/s}\end{array}$

Here $\text{200}\text{m/s}$ is faster than other two.

Conclusion:

Hence, $\text{200}\text{m/s}$ is the faster than other two.