024 • Name:

For answers with units, do not forget to include the units: numeric answer units!

  1. The graph shows soap density data. Use the graphed data to answer the following questions.
    Soap density Soap density Dial Basic Neutrana Ivory volume (cm³) mass (g) y-axis labels 0 10 20 30 40 50 60 70 80 90 100 x-axis labels 0 10 20 30 40 50 60 70 80 90 100
    1. __________ _____ Calculate the density ρ of Dial Basic soap.
    2. ______________ Based on the density, will Dial Basic soap float or sink?
    3. __________ _____ Using the density above, calculate the mass of a bar of Dial Basic soap that has a volume of 100 cm³.
    4. __________ _____ Using the density above, calculate the volume of a bar of Dial Basic soap that has a mass of 250 grams.
    5. __________ _____ Calculate the density ρ of Ivory soap.
    6. ______________ Based on the density, will Ivory soap float or sink?
    7. __________ _____ Calculate the density ρ of Neutrana soap.
    8. ______________ Critical thinking: Based on the density, will Neutrana soap float or sink?
  2. Critical thinking: Some laboratory groups obtained slopes which incorrectly predicted whether their soap would float or sink. Which are they more likely to have measured incorrectly and explain WHY: the volume or the mass?
  3. A student gathered the data seen in the table below.
    Graphical analysis

    Soap Data

    Volume (cm³)Mass (g)
    00
    2024
    4048
    6072
    8096
    100120
    background rectangle major grid lines axes text layers Density of Soap Volume (cm³) Mass (g) x-axis labels 0 10 20 30 40 50 60 70 80 90 100 y-axis labels 0 10 20 30 40 50 60 70 80 90 100 110 120
    1. Plot the soap data on the graph.
    2. __________ __________ Calculate the density of the soap. Include the units with your answer.
    3. Based on the slope, will the soap [float] OR [sink]?
    4. Based on the slope, is this likely to be [Ivory] OR [Dial] soap?
  4. For the following RipStik velocity chart:
    Graph f(x) = 300x RipStik time versus distance Time (seconds) Distance (centimeters) x-axis labels 0 1 2 3 4 5 6 7 8 9 10 y-axis labels 0000 1000 2000 3000 4000
    1. __________ _____ Determine the velocity ѵ of the RipStik.
    2. __________ _____ If the RipStik continued at that velocity for 30 seconds, how many centimeters would the RipStik travel?
    3. __________ _____ If the RipStik continued at that velocity for 5700 centimeters, how many seconds would the RipStik travel?
  5. A RipStik moved at three different velocities (speeds). The data was gathered in the table seen below.
    Graphical analysis
    Time
    (s)    		○ A (cm)□ B (cm)◊ C (cm)
    0 0
    3200
    6400
    9600
    12800
    0 0
    5 700
    121680
    0 0
    1.5 500
    4.51500
    background rectangle major grid lines axes text layers 022 Velocities of a RipStik Time (seconds) Distance (centimeters) x-axis labels 0 1 2 3 4 5 6 7 8 9 10 11 12 y-axis labels 0 200 400 600 800 1000 1200 1400 1600 1800 2000
    1. Plot the data using circles, squares, and diamonds for A, B, and C respectively.
    2. __________ __________ Calculate the velocity (speed) of RipStik run A.
    3. __________ __________ Calculate the velocity (speed) of RipStik run B.
    4. __________ __________ Calculate the velocity (speed) of RipStik run C.
    5. __________ Which RipStik run is the fastest (A, B, or C)?
    6. __________ Which RipStik run is the slowest (A, B, or C)?
    7. __________ __________ How far will RipStik A travel in 36 seconds?
    8. __________ __________ How long in seconds for RipStik A to travel 5100 centimeters?

slope= ( 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