Problem

Measurement and Matter Setting up a unit conversion A student sets up the following equation to convert a measurement. (The ? 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. $\left(70 . \frac{\mathrm{kg} \cdot \mathrm{m}}{\mathrm{s}}\right) \cdot \square=? \frac{\mathrm{g} \cdot \mathrm{cm}}{\mathrm{s}}$

Solution

Step 1 :The problem is asking to convert a measurement from kilograms and meters to grams and centimeters. To do this, we need to know the conversion factors between these units. 1 kilogram is equal to 1000 grams and 1 meter is equal to 100 centimeters.

Step 2 :We can set up the conversion as follows: \(\left(70 . \frac{\mathrm{kg} \cdot \mathrm{m}}{\mathrm{s}}\right) \cdot \left(\frac{1000 \mathrm{g}}{1 \mathrm{kg}}\right) \cdot \left(\frac{100 \mathrm{cm}}{1 \mathrm{m}}\right) =? \frac{\mathrm{g} \cdot \mathrm{cm}}{\mathrm{s}}\)

Step 3 :Now, we can calculate the missing part of the equation. The missing part of the equation is \(\boxed{7000000}\).

From Solvely APP
Source: https://solvelyapp.com/problems/oZyasR94Af/

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