psc3 034 ☈ Name:

  1. The graph shows data gathered by a student in SC 130 physical science for the density of soap.
    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 8 16 24 32 40 48 56 64 72 80 x-axis labels 0 10 20 30 40 50 60 70 80 90 100
    __________ What is the slope of the line without any units?
  2. ______________ What is the density ρ of the soap (include units!)?
  3. ______________ Will the soap float or sink?
  4. The second graph shows the time versus distance data gathered for three different RipStik runs A, B, and C. The first three questions are matching. Use the letters at the end of the lines on the xy scattergraph.

    RipStik time versus velocity background rectangle major grid lines linear C non-linear B parabola A axes text layers RipStik Data Time (s) Distance (m) y-axis labels 0 100 200 300 400 500 600 700 800 900 1000 x-axis labels 0 1 2 3 4 5
    _____ RipStik moving at a constant speed, no acceleration.
  5. _____ RipStik moving faster at a constant rate of acceleration.
  6. _____ RipStik moving with a non-constant acceleration .
  7. _______ ___________ Determine the speed of RipStik run C.
  8. _______ ___________ Determine the speed of RipStik run B from 0 to 3.5 seconds.
  9. _______ ___________ Determine the speed of RipStik run B from 4.5 to 5 seconds.
  10. The following two graphs plot the constant speed linear motion of a RipStik and the accelerated motion of the RipStik. Label the graphs indicating which is graph linear and which is accelerated.
    motion graph motion graph
  11. A rolling ball cannot generate a vertical line on a time versus distance graph. Why?

    024 RipStik Alley background rectangle major grid lines axes x-axis and y-axis linear regression line Linear regression equation manually placed y = 1.58 x + 0.5 data points as rectangles text layers RipStik Alley Time (s) Distance (m) y-axis labels 0 4 8 12 16 20 24 28 32 36 40 x-axis labels 0 3 6 9 12 15 18 21 24 27 30
  12. ___________________ The graph on the above left was generated by a RipStik rider. The x-axis is time in seconds, the y-axis is the distance in meters. What is the speed of the RipStik (including units)?
  13. ___________________ The graph on the above right is taken from the ball rolling data gathered on Thursday. What is the speed of the ball (including units)?
  14. ___________________ In the graph on the above right the actual data points form a slight curve. Why does the data form a slight curve, what is happening to the ball?
  15. __________ ______ Using the equation d = ½gt², calculate the distance a ball will fall in one second. Use 980 cm/s² for the acceleration of gravity g.
  16. __________ Does the above distance roughly agree with the data you gathered in Thursday's laboratory?
  17. __________ ______ Given d = ½gt², where g = 980 cm/s², what is the duration in seconds for a marble to fall from a height of 1960 cm?
  18. Does a dropped ball fall faster and faster? How do you know this?
  19. A tennis ball is thrown in an arc in front of a white board. The ball obeys the equation y = − ( 50 252 ) x2 + 50 Sketch the arc of the ball on the white board on the graph below.
    Rolling ball background rectangle major grid lines axes x-axis and y-axis text layers Falling super ball x (cm) y (cm) y-axis labels 0 5 10 15 20 25 30 35 40 45 50 x-axis labels -25 -20 -15 -10 -5 0 5 10 15 20 25
  20. Is nature indeed mathematical? What is your opinion and why at this point in the course?

slope m= (y2−y1) (x2−x1)
Volume V = length l × width w × height h
mass m = density ρ × Volume V
ρ= m V
distance d = velocity ѵ × time t
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)
Gravitational Potential Energy = mgh
Kinetic Eenergy = ½mѵ²
momentum = mѵ