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PHYS 1111: Test 1
Dimensions of displacement, velocity, & acceleration |
displacement=[L]
velocity= [L]/[T]
acceleration= [L]/[T^2] |
Distance (x) |
total length of travel
**SI unit= meter (m) |
Displacement (delta x) |
-change in position
delta x= x final-x initial
**SI unit= meter (m) |
Average speed |
avg. Speed=distance/elapsed time
**SI unit= m/s |
Average velocity |
avg. V= displacement (Xf-Xi)/elapsed time (Tf-Ti)
SI unit= m/s |
Common Prefixes (above zero) |
peta: 10^15
tera: 10^12
giga: 10^9
mega: 10^6
kilo: 10^3
hecto: 10^2
deka: 10^1 |
Common prefixes (below zero) |
deci: 10^-1
centi: 10^-2
milli: 10^-3
micro: 10^-6
nano: 10^-9
pico: 10^-12
femto: 10^-15 |
Sig. figs for multiplication/division |
least number of sig figs of numbers being multiplied/divided |
Sig figs for addition/subtraction |
least number of decimal places |
Suppose 1.0 cubic meter of oil is spilled into the ocean. Find the area of the resulting slick, assuming that it is one molecule thick and that each molecule occupies 0.50 micrometers on a side
|
volume=area x thickness
3m^3=a x .5e^-6
a=??
|
New York is roughly 3000 miles from Seattle. When it is 10 am in Seattle, it is 1 pm in NY. Using this information, estimate a) the rotational speed of the surface of the earth b) the circumference of the earth and c) the radius of the earth
|
a) 3000miles/3 hrs= 1000mph
b) 3hr/24 hrs across globe= 1/8--> 8*3000miles= 2400=circumference
c) C=2(Pi)r
|
You jog at 9.5 km/h for 8.0km, then you jump in a car and drive an additional 16km. With what average speed must you drive your car if your average speed for the entire 24 km is to be 22 km/hr?
|
8 km traveled in= .842 hrs
16 km traveled in ? hours
24 km traveled in= 1.091 hrs
1.091=.842+?
?=.249 hours
16km/.249 hours=64.25 km/hr
|
Acceleration |
a=v/t |
Cos |
adjacent/ hypotenuse |
Sin |
opposite/hypotenuse |
tan |
opposite/adjacent |
Scalar vs. Vector |
scalar-number with units
vectors-quantity with magnitude and direction |
T/F: when traveling at a 45 degree angle you are moving the same distance in the X and Y directions |
True |
Time it takes to reach the peak of something starting and ending on same elevation |
t=Vosin(theta)/g |
Range of something starting and ending on same elevation |
R=(Vo^2/g)sin2(theta) |
equation for average velocity |
avgV=(d1+d2)/(t1+t2) |
Circumference of a circle |
C=2PiR |