There are multiple ways to earn full credit on your assignments. Along with a correct value, answers are expected to include units and to be in a reasonable notation. Reasonable notation would be an answer that does not have infinite digits (e.g. cannot equal 12389243.9343 joules, but must be written as 12.4 megajoules or 1.2e6 joules)
Explicitly show how you calculate your numbers. To make your calculations using python make sure your units are defined in a variable name (e.g. speed_in_km, time_hour, energy_density_joule_per_kg). The computer may output a long answer full of digits that don't need to be displayed. Make your answer into a reasonable notation by explaining it in a text (markdown) cell at the bottom of your work
You may turn in handwritten equations that show your mathematical reasoning and intention. Handwritten assignments with an image of the work done uploaded onto sagemathcloud. Handwriting must be legible and include units.
Some of you may want to use advanced options for your work. You may use these tools, but we can't provide lots of help or support on these either in this class.
Please show the details of your work to answer these questions.
a) If you drive 20 miles, how many kilometers is that? 1 mile=1.6km 20miles x 1.6= 32kilometers
b) My car is traveling at 30 miles per hour, how many meters per second is that? 1mph=1.6kph -> 30mph x 1.6kph= 48kph -> 1km=1000m 48kphx1000m=48000meters per hour -> 3600 seconds in an hour, 48000mph/3600= 13.3meters per second
Convert the following numbers to scientific notation.
Perform the following operations using scientific notation.
Write out 3.5 trillion in scientific notation
3,500,000,000,000 -> 3.5E12
Write out 2.4 kJ in joules
1kJ=1000j 2.4x1000= 2.4E3joules
How many GW is 14 TW?
1000GW=1TW -> 14x1000= 14,000 -> 1.4E4GW
If the energy use in a country is increasing at 3 percent per year, by what fraction will it increase in 10 years? If the energy increases 3% each year, then in ten years, the growth will be: R-Percent change T-Years 1+R(T) 1+.03(10)=1.3% in 10 years
The amount of gasoline that a car uses is linearly related to the distance it travels. Write an equation for this relationship for a 2015 Honda Civic. If this car is driven 1000 miles, how much gasoline will it use? G=Gasoline used *Assume that a Honda Civic gets 24mph
1000miles=24MPG(G)