pse1 034 test one • 01 January 2014 • Name:

1. The left graph is volume versus mass for slabs of soap. The right graph is time versus distance for moving RipStik castor boards.
   
   • For the Soap Density graph:
     1. __________ _____ Calculate the density ρ of the soap.
     2. ______________ Will the soap float or sink?
   • For the RipStik Data graph and the lines on that graph:
     3. _____ Which letter labels the RipStik not moving, stationary?
     4. _____ Which letter labels the RipStik moving at a constant speed, no acceleration?
     5. _____ Which letter labels the RipStik moving faster at a constant rate of acceleration?
     6. _____ Which letter labels the RipStik moving with a non-constant deceleration?
     7. _______ ___________ Determine the speed of RipStik run C.
     8. _______ ___________ Determine the speed of RipStik run D.
     9. _______ ___________ Determine the speed of RipStik run B from 0 to 1 second.
     10. _______ ___________ Determine the speed of RipStik run B from 2 to 5 seconds.
     11. _______ ___________ For RipStik run A:
         distance = ½*acceleration*time².
         The coordinate shown on the graph as a square on line A is at (3 s, 900 cm). Using the equation and the coordinate, calculate the value of the acceleration a.
         Short form of the same equation: d=½at²
2. For the following RipStik velocity data and chart
   
   
   1. __________ _____ Given the equation d = 250t + 500, determine the velocity ѵ of the RipStik.
   2. __________ _____ If the RipStik continued at that velocity for 60 seconds, how far would the RipStik go?
   3. __________ _____ If the RipStik continued at that velocity for 5,000 centimeters, how long in seconds would it take the RipStik?
3. On Monday I rode a RipStik up a gentle slope, turned around, and came back down the slope.
   
   1. ___________________ What is the name of the shape formed by the curve on the graph?
   2. ___________________ Between zero and ten seconds, what is happening to my velocity?
   3. ___________________ At exactly ten seconds, what is my velocity according to the graph?
   4. ___________________ Between ten and twenty seconds, what is happening to my velocity?
   5. ___________________ During the twenty second run, is the direction of the force on the RipStik changing?
4. A bar of Lux Magical Spell soap has a length of 8.0 cm, a width of 5.0 cm, a height of 2.0 cm, and a mass of 90.0 grams.
   
   1. __________ _____ What is the volume of the soap?
   2. __________ _____ What is the density of the soap?
   3. __________ _____ What will be the slope of the volume (cm³) versus mass (g) line on an xy scattergraph of volume versus mass for the Lux soap?
5. The data in the table and graphs are from a lab three ball dropping experiment.
   
   _______________ _________ According to the data and graphs, what is the acceleration of gravity?

$\text{slope m}=\frac{(y_2-y_1)}{(x_2-x_1)}$
Volume V = length l × width w × height h
mass m = density ρ × Volume V
$\rho =\frac{m}{V}$
d = ѵt
$ѵ=\frac{\Delta d}{\Delta t}$
$a=\frac{\Delta ѵ}{\Delta t}$
ѵ = at
d = ½at²
d = ½gt²
where g is the acceleration of gravity.
g = 979 cm/s²