Question

a student sets up the following equation to convert a measurement. (the x stands for a number the student is going to calculate.) fill in the missing part of this equation. note: your answer should be in the form of one or more fractions multiplied together. \\(\left(0.040 \frac{\text{kg}\cdot\text{m}}{\text{s}}\
ight)\cdot \square = x \frac{\text{g}\cdot\text{cm}}{\text{s}}\\)

Explanation:

Step1: Convert kg to g

We know that \(1\space kg = 1000\space g\), so to convert kg to g, we use the conversion factor \(\frac{1000\space g}{1\space kg}\).

Step2: Convert m to cm

We know that \(1\space m = 100\space cm\), so to convert m to cm, we use the conversion factor \(\frac{100\space cm}{1\space m}\).

Step3: Multiply the conversion factors

To convert \(\frac{kg\cdot m}{s}\) to \(\frac{g\cdot cm}{s}\), we multiply the two conversion factors together. So the missing part is \(\frac{1000\space g}{1\space kg}\cdot\frac{100\space cm}{1\space m}\).

Answer:

\(\frac{1000\space g}{1\space kg} \cdot \frac{100\space cm}{1\space m}\)