Question #a0487

1 Answer
Morgan
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")#

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