SMRM Question Set
Volume of ideal gas decreases 80% what happens to pressure?
20%= 1/5 factor is 1/5 volume decrease 1/5 so pressure rises 1/5
225% dense as air
25%=1/4 9/4 increase indirect relationship sqrt math factor is 4/9 sqrt is 2/3 66 out of 100 C
balancing humidity (proportional to density) with increasing mass
33% more mass than last mass and density are directly proportional density has to increase 33% successively so terminal velocity remains same for all three balls of different masses B
38 million km apart how long for radio signal to reach
38,000,000 km 3.8*10^7 km 10^3m/km 3.8*10^10 m speed 3.0*10^8m/s divide 1.33*10^2 133 s 2 min however it asked for round trip not one way so 4 min
orbital period of mercury, what is velocity
88 days 24h/day 60m/h 60s/m 57909100 5.8 *10^7 km 10^3 m/km 5.8*10^10m 11.6*10^10m 1.16*10^11m A is only choice that could work not sure about pi factor or if 2pi factor Circumference is 2(pi)r that is why 2 pi is needed
passage of terminal velocity
A and g are direct if A increases for V to remain constant g has to increase by same amount answer A
what is specific heat
Actually don't need to know formula, this could be a chemistry q but notice how they give units. UNITS tells how it's multiplied J 500J but 20% went into calorimeter and not into ethanol 500*.8=400 g not given directly but look at units again and see density m/v and v given so multiply to get mass in g get 7.89 g T is given as 20 Units of answers are J/gC 400/7.89(20) 20/7.89 about 2.5 Correct is B specific heat is Q=cm(deltaT) c=specific heat Q=energy released m=mass delta T=temp change 10 ml 0.789g/ml m=7.89 g Q=500J deltaT= 20 500/160 A had to know formula don't know if 20% difference is used check out Q18
in gravitation force of earth and moon, moon mass is decreased by 20% what is new F
F=Gmm/r^2 F is direct with m 20% is 1/5 factor is 4/5 F=m 4/5=4/5 F is 4/5 or lost 1/5
Planets separated by distance r, force increases by factor of 16 what is new distance?
F=Gmm/r^2 F is indirect proportion to r^2 F=1/r^2 F increases 16 factor solve for r sqrtF= 1/r sqrt(16)=1/r r decreases by factor 4
what happens to F if m of one is halved and distance is doubled
F=Gmm/r^2 mass and F are direct loss factor 2=loss factor 2 distance and F are indirect increase 2= loss factor 4 (square math) total loss is factor 8
distance between two objects increases by factor 5/3 what is force
F=Gmm/r^2 r^2=1/F distance indirect to Force (5/3)^2 decrease by 25/9 or about 3
two planets in space distance must be multiplied by what so that force increases 125%?
F=Gmm/r^2 25%=1/4 125%=4/4+4/4+1/4= 9/4 factor 4/9 is factor r has to decrease solve for r sqrtF=1/r sqrt 4/9 is factor for r 2/3
triple force of object accelerating
F=ma F is direct related to a triple F= triple a
data conditions and internal validity
I think highest internal validity has lowest standard Error so C internal validity is extent for study's finding to be justifiable i think a lower standard error (measures how accurate mean is compared to population) increasing pop size decreases standard error of mean Also look at p value a smaller p value equals stricter results and provide stronger internal validation
volume decreases 40% what pressure?
PV indirect 20%=1/5 40%=2/5 5/5-2/5= 3/5 factor since indirect flips to 5/3 P increases by 5/3
Pressure of ideal gas doubled, what happens to volume
PV are indirect related P increases by 2 so V decreases by 2
Q inverse proportional to square of y y is tripled then Q is?
Q decreases when y increases y^2=Q 3^2=Q factor Q decreases by factor of 9
CDC recomendations
Respiratory illness direct listed fever is listed as symptom C also swine flu is listed as exposure so answer is D
rain decreases surface area as response to air resistance if area drop is linear what is terminal velocity effect?
V=sqrt (1/A) indirect and sqr root math lower surface area increases terminal velocity since sqrt, increase is nonlinear
if height of falling body is dropped doubles, final velocity is?
V=sqrt(2gh) V=sqrt(h) h is direct with V so increase factor=increase factor V=sqrt(2) V increases by factor 1.4
object dropped from fixed height, time it hits ground is t if drop height is doubled what is new time
X=1/2at^2 X is doubled and t solve for t t^2=X t=sqrt X sqrt 2= 1.4 factor t is increased/multiplied by 1.4
Object A in air 5 seconds, Object B in air for 20 seconds what height
X=1/2at^2 t factor is 4 X=t^2 X=4^2 X=16 X increases by factor of 16 (multiplied)
Equation list
X=1/2at^2 distance= half acceleration time^2 units of acceleration are m/s^2 v=sqrt(2gh) velocity= square root of gravity times height times 2 Force=Gmm/r^2 G= grav constant m=1 of two masses r= distance between two masses F=ma PV=nRT
if H1N1 started at same time in both Mex and America, how does prevalence compare six weeks later
about 8 from rural America figure can't tell when scale is so large for Mexico
testable hypo? ALL involved in process
external validity: ability to generalize and accurately apply conclusions outside of study internal validity: how well it can rule out other alternative explanations, or how quickly follows scientific method hypo needs to be specific to one thing otherwise internal validity suffers
terminal velocity on Jupiter
g is 3 times earths gravity if earth has terminal velocity of 150 V=sqrt(g) direct relationship V=sqrt(3) =1.7 D
Object mass differences
if mass 10kg (A) and mass of 90 kg (B) what is terminal velocities V=sqrt(m) sqrt(9) 3 B is 3A
which graph best represents V=sqrt (1/A)
just plug in easy numbers 1/1=1 1/2=.5 1/3=.3 indirect (one gets high as other low) high slope jump in beginning but slope evens out B
identical mass yet terminal velocity quadruples. Why?
mass is given as identical so I is false II. V is direct proportion with g so sqrt 16=4 true III. trial B is supposed to increase in terminal velocity if surface area increases then terminal velocity decreases so false only II. is true B
terminal velocity of object from very high altitude
none of relationships between density and terminal velocity are accurate in answer choices terminal velocity and density of fluid are indirect related and at higher altitudes, density decreases A WRONG density does increase as height gets lower so inverse shows that terminal velocity decreases answer is D
triple density and triple surface area
sqrt 9=3 since indirect 1/3 is factor C
final velocity increased factor of 2 what is plausible explanation?
v=sqrt(2gh) for v to increase by factor of 2, acceleration or height need to be increased by factor of 4
velocity is tripled, what is height
v=sqrt(2gh) v^2=h h increases by factor of 9
height x reaches ground in time t, t is decreased 20% in trial 2 and 80% in trial 3 what are heights
x=1/2at^2 direct decrease 20% or 1/5 5/5-1/5=4/5 factor t x=t^2 x=(4/5)^2 16/25 so D decreases 80% or 4/5 5/5-4/5=1/5 factor x=t^2 x=(1/5)^2 1/25 again D
semi log graph
y axis is exponential so exponential will grow linearly linear decline will curve as scale decreases exponentially A
Fig 1 a semi-log
y axis is exponential x is linear line starts straight= start exponential slope becomes more curved= indicating later it became more linear A A and B are impossible since units are always exponential so any slope that isn't 0 will have nonlinear growth Best answer is that one variable changed exponentially while other changed linearly C
