Setting up a one-step unit conversion

Question

A student sets up the following equation to convert a measurement.

Fill in the missing part of this equation.

(-2.6*10^4 g*m^2/s^2) * [ ? ] = ? kg*m^2/s^2

Answer 1

This is dimensional analysis.

(-2.6*10⁴ g*m²/s²) * [ ? ] = ? kg*m²/s²

To get the units of kg*m²/s² we must multiply the original value by 1 kg/10³ g. This would be [ ? ] in the above equation. The answer would thus be the following:

(-2.6*10⁴ g*m²/s²) * [ 1 kg/10³ g ] = -2.6x10¹ kg*m²/s² = -26 kg*m²/s²