Question

please include units as i would type it in

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. 0.040 2 *m

Answer 1

Answer -

Given,

(0.040 N/C².m²).________ = ? N/(mC)².m²

The units are changing from N/C².m² to N/(mC)².m²

We know that,

1 C = 1000 mC

So, 1 C^-1 = 10^-3 (mC)^-1

Squaring both side,

1 C^-2 = 10^-6 (mC)^-2

So,

1 N/C².m² = 10^-6 N/(mC)².m²

If we multiply by 10^-6 the units get balanced

(0.040 N/C².m²) * 10^-6 = ? N/(mC)².m²

Now,

? is a number.

So, if we multiply by 10² also, then we get ? = 4

So, (0.040 N/C².m²) * 10² * 10^-6 = ? N/(mC)².m²

So, (0.040 N/C².m²) * 10^-4 = ? N/(mC)².m² [ANSWER]