Exercise

$1.$ Show the following units in scientific notation.

e$.$g $)$ Five Kilometer $($km$)=5$ x $103$ m

a$.)$ Five Milliampere $($mA$)$

b$)$ Twenty$-$Two Mega joules $($MJ$)$

c$)$ Six Micro coulombs $($C$)$

d$)$ Eight Nanoseconds $($ns$)$

$2.$ Show the numbers after unit conversion for the followings.

a$)$ What is $0\mathrm{.}05$ km in cm$?$

b$)$ What is $655$ decigrams in milligram?

c$)$ Convert $546$ cm to kilometers.

d$)$ Convert $0\mathrm{.}040$ kilograms to grams.

e$)$ Convert $18000$ Watts to Mega Watts.

$3.$ How many millimeter are in one kilometer?

$4.$ How many ounces are in $6$ pounds? $(1$lb $=16$oz$)5.$ David needs to fry $18$ potatoes per hour for $3\mathrm{.}5$ hours. He can fry $6$ potatoes using one gallon of oil. How many gallons of oil does David need for frying all the potatoes?

$6.$ A standard elevator in a midrise building can hold a maximum weight of about $1\mathrm{.}5$ tons. Assuming an average adult weigh $150$ pounds, how many adults who could safely ride this elevator? $(1$ ton $=2000$ lb$)$

$7.$ If your car uses $1$ gallon of gas in every $25$ miles and you want to go on a $400$ mile road trip. How much will the gas for your road trip cost if current gas costs $$2\mathrm{.}75$ per gallon?

$8.$ You have a natural gas furnace in your home that used $78,500$ cubic feet of natural gas for heating last winter. Your neighbor has a furnace that burns heating oil, and used $516$ gallons of heating oil last winter. You can convert the natural gas and heating oil consumption data into Btu to determine which home used more energy for heating.

$$ Natural gas BTU: $1,028$ Btu per cubic foot

$$ Oil BTU: $138,590$ Btu per gallon

$9.$ You need a new furnace for your home, and you are comparing systems that use natural gas and heating oil. One factor to consider is the cost of the fuels. You can compare the price of the fuels on an equal basis by dividing the price per unit of the fuels by the Btu content per unit of the fuels to get a price per million Btu.

$$ Assume Natural gas price $=$ $$10\mathrm{.}50$ per thousand cubic feet and oil price $=$ $$3\mathrm{.}00$ per gallon