psd3 074 ☈ Name:

  1. The first graph shows data gathered by a student in SC 130 physical science. Soap density background rectangle major grid lines axes x-axis and y-axis linear regression line data points as circles text layers Soap density volume (cm³) mass (g) y-axis labels 0 4 8 12 16 20 24 28 32 36 40 x-axis labels 0 5 10 15 20 25 30 35 40 45 50
    1. __________ _____ Calculate the density ρ of the soap (include units!).
    2. ______________ Will the soap float or sink?
    3. ______________ Based on the density, what brand of soap is the above bar?
    4. ______________ A bath size bar of the soap has a mass of 132 grams. Use the density calculated to determine the volume of a 132 gram bar of the soap.
  2. A bar of Lux Magical Spell soap has a length of 7.5 cm, a width of 5.1 cm, a height of 2.0 cm and a mass of 85.0 grams.
    Lux Magical Spell soap
    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 versus mass line on an xy scattergraph of volume versus mass for the Lux soap?
  3. A rolling ball cannot generate a vertical line on a time versus distance graph. Why?
  4. ____________________ A marble is rolled from a height h of 22 cm on a banana leaf marble ramp. Use the theoretic equation ѵ=37.4h   to calculate the velocity of the marble at the bottom of the ramp.
  5. During a RipStik ride in the classroom I held a ball in the palm of my outstretched hand. I was moving at a constant speed and then I suddenly stopped. The ball kept going. Using Newton's laws explain in plain English why the ball kept going.
  6. Graph one is time versus distance for a RipStik castor board going up a gentle hill and then back down the hill. Graph two is time versus distance for moving RipStik castor boards.
    Graphs background rectangle major grid lines linear C non-linear B parabola A axes text layers Graph two: RipStik Motion Data Time (s) Distance (cm) y-axis labels 0 100 200 300 400 500 600 700 800 900 1000 x-axis labels 0 1 2 3 4 5 background rectangle major grid lines axes x-axis and y-axis data points as circles text layers Graph one: RipStik uphill and return downhill run time (s) dist (cm) y-axis labels 0 80 160 240 320 400 480 560 640 720 800 x-axis labels 0.0 1.4 2.8 4.2 5.6 7.0 8.4 9.8 11.2 12.6 14
  7. _____________ Which of Newton's laws says that once moving, an RipStik continues to move at a constant velocity without any further swizzling (wiggling)?
  8. _____________ Which of Newton's law governs the accelerating motion of a swizzled (wiggled) RipStik?
  9. Use the data in table two to answer the following questions on pulleys.
    Table one
    force (gmf)load (gmf)
    2050
    80200
    140350
    180450
    1. ____________ Based on the table one data, what is the actual mechanical advantage for the pulley system?
    2. ____________ The pulley system in table one had three load lines. What is the ideal mechanical advantage?
    3. ____________ Use the preceding two questions to calculate the efficiency of the pulley system.
  10. __________ A block and tackle on a crane used to lift solar panels had four load lines. What is the Ideal Mechanical Advantage for the crane based on the crane having four load lines?
  11. __________ _____ If the crane with the four load line block and tackle lifts a steel beam with a mass of 800 kg, how much force will the lift motor have to produce? Use the Ideal Mechanical Advantage to make your calculation.
  12. Temperatures in Celsius
  13. ______________ When walking straight East, which number would change on the GPS unit, the N 06° 54.566' or the E 158° 09.597' number?
  14. _________ _____ The classroom is at E 158° 09.651'. Dana was at E 158° 09.314'. Use a value of 1820 meters per minute to calculate the distance from the classroom to Dana.
  15. ____________________ Plot the data in table two on the next page on the graph next to the table. Calculate the slope of the line.
    Graphical analysis

    Data

    Table two
    Distance (min)Distance (m)
    0.0000
    0.01530
    0.03060
    0.04590
    background rectangle major grid lines axes text layers minutes versus meters Distance (min) Distance (min) x-axis labels 0 0.010 0.020 0.030 0.040 0.050 y-axis labels 0 10 20 30 40 50 60 70 80 90 100
  16. Math models The xy scattergraph plots four mathematical models for systems in physical science. Match the graph plot to the model. Write the letter for the matching model in the blanks below.
  17. Sketch a best fit linear trendline through the data in the chart below. Calculate the slope and y-intercept for the data.
    heat conductivity data
    slope: __________________
    intercept: __________________

slope m= (y2−y1) (x2−x1)
Volume V = length l × width w × height h
mass m = density ρ × Volume V
ρ= m V
V = lwh
d = ѵt
ѵ= Δd Δt
a= Δѵ Δt
ѵ = at
d = ½at²
d = ½gt²
where g is the acceleration of gravity.
g = 980 cm/s² (cgs)
g = 9.8 m/s² (mks)
GPE = mgh
where GPE is gravitational potential energy
m is mass
g is the acceleration of gravity
h is the height
KE = ½mѵ²
where KE is kinetic energy
momentum p = mѵ
Force = Δmomentum
Force = mass × Δѵ Δt
Force = mass × acceleration
efficiency= actual mechanical advantage ideal mechanical advantage
AMA Actual Mechanical Advantage
IMA Ideal Mechanical Advantage
Mechanical efficiency: AMA ÷ IMA