Question #a0487

1 Answer
Oct 16, 2017

Multiply by 10^-3.

Explanation:

Your final answer is in the form of a pressure, which is a force applied over an area.

P=F/A

The SI unit of pressure is the pascal, which is given in "N"//"m"^2—the SI unit of force over the SI unit of area.

One newton is equivalent to one "kg m"//"s"^2, and so:

"Pa"=("kg m"//"s"^2)/"m"^2

=>="kg"//"m" "s"^2

These are exactly the units that you have on your final answer. Therefore, you have:

p=5984.1" Pa"

A kilopascal is equivalent to 1000 or 10^3 pascals, so we can easily convert between the two. Conversely then, one pascal is equivalent to 1/1000 or 10^-3 kilopascals.

=>5984.1cancel" Pa"xx(10^-3" KPa")/cancel"Pa"

=>5984.1xx10^-3"KPa"

=>color(blue)(5.9841" KPa")