pse1 074 ↹ ↹ Name:

  1. 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.
    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 (cm³) versus mass (g) line on an xy scattergraph of volume versus mass for the Lux soap?
  2. For the following RipStik velocity data and chart
    RipStik velocity, time versus distance
    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. A marble with a mass of 5 grams sits on a banana leaf 10 centimeters vertically above the table. The acceleration of gravity g of 980 cm/s².
    1. _________ __________ Calculate the Gravitational Potential Energy of the marble.
    2. _________ __________ At the bottom of the banana leaf the same marble is moving at a velocity of 100 cm/s. Calculate the Kinetic Energy of the marble.
    3. ______________ As a percentage of the original Gravitational Potential Energy, how much energy was lost to friction and other sources of energy loss?
  4. __________ A pulley system with eight lines lifts a load of 800 grams using a force of 125 grams. Calculate the efficiency of the pulley system.
  5. Newton's first law states:
  6. Newton's second law states:
  7. Newton's third law states:
  8. __________ __________ A RipStik was accelerated using a force of 30 Newtons. The mass of the RipStik and the rider was 60 kilograms. Calculate the acceleration of the RipStik.
  9. Temperatures in Celsius:
  10. ______________ When walking straight East, which number would change on the GPS unit, the N 06° 54.566' or the E 158° 09.597' number?
  11. _________ _____ The classroom is at E 158° 09.651'. On Wednesday Dana was at E 158° 09.355'. Use a value of 1820 meters per minute to calculate the distance from the classroom to Dana.
  12. On Wednesday I hid at N 06° 54.559', E 158° 09.355'. The lines of latitude and longitude are shown in the picture. One line is labeled A and the other line is labeled B. North is at the top of this image.
    Google Earth screen capture of hide n seek location
    1. _____ Which letter in the image corresponds to a line of latitude?
    2. _____ Which letter in the image corresponds to a line of longitude?
    3. _____ Which letter in the image corresponds to the line that is N 06° 54.559'?
    4. _____ Which letter in the image corresponds to the line that is E 158° 09.355'?
  13. Plot the data.
    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 (m) 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
    1. __________ __________ Calculate the slope of the line.
    2. __________ __________ Calculate the intercept of the line.
  14. Mathematical models
    Mathematical models on the half shell background rectangle major grid lines axes x-axis and y-axis a square root path a quadratic path data points as circles linear regression line data points as rectangles data points as diamonds text layers Mathematical relationships x-axis labels A B C
    1. What mathematical model would best describe curve A?
    2. What mathematical model would best describe line B?
    3. What mathematical model would best describe curve C?

slope= ( y2 − y1 ) ( x2 − x1 )
Volume V = length l × width w × height h
mass m = density ρ × Volume V
ρ= m V
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
Gravitational Potential Energy GPE = mgh
Kinetic Energy KE = ½mѵ²
momentum = mass m × velocity ѵ
Force= ΔMomentum Δtime
Force F = mass m × acceleration a
Actual Mechanical Advantage = Load lifted ÷ Force used to lift
efficiency= Actual Mechanical Advantage Ideal Mechanical Advantage