SC 130 Physical Science Quiz 08 • Name:

[d] [t] For the following system…

Bulbsi (amps) V (volts)
one 0.303.0
two 0.151.5
three0.101.0

[g]

SVG xy scatter graph of current versus voltage grid axes data points text layers Current versus voltage: linear relationship y-intercept = 0: use LINEST x-axis: i (amperes) y-axis: V (voltage) y-axis labels 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 x-axis labels 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 grid axes data points text layers Linear, y-intercept ≠ 0 Use SLOPE and INTERCEPT x-axis: woddles y-axis: widdles y-axis labels 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 x-axis labels 0.0 1.0 2.0 3.0 4.0 5.0 7.0 7.0

SVG xy scatter graph depicting non-linear relationshp grid axes data points text layers Non-linear mathematical relationship Smooth curve x-axis: wubbles y-axis: wibbles y-axis labels 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 x-axis labels 0.0 1.0 2.0 3.0 4.0 5.0 7.0 7.0 grid axes data points text layers No mathematical relationship No pattern, no alignment x-axis: woddles y-axis: widdles y-axis labels 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 x-axis labels 0.0 1.0 2.0 3.0 4.0 5.0 7.0 7.0

Mathematical relationship analysis decision tree Does the data form a straight line or roughly close to a straight line? Yes No Arrow Arrow First analysis conclusion: There is a mathematical relationship. Second conclusion: The data is linear. Is the y-intercept zero or close to zero? Yes No Arrow Arrow Third analysis conclusion: The y-intercept is zero. Use LINEST(y;x;0) to find slope. Third analysis conclusion: Linear. Use SLOPE(y;x) INTERCEPT(y;x) Does the data form a smooth curve or roughly close to a smooth curve? Yes No Arrow Arrow First analysis conclusion: There is a mathematical relationship. Second conclusion: The mathematical relationship is non-linear. First and: only conclusion: NO mathematical relationship.

The functions provided in the above chart are specified in more detail below. The format shown is the OpenOffice.org Calc format. If using Excel, substitute commas for the the semi-colons.

The first function finds the slope of a line with the y-intercept equal to 0

=LINEST(y-data;x-data;0)

The following two functions calculate the slope and intercept for any linear relationship.

=SLOPE(y-data;x-data)

=INTERCEPT(y-data;x-data)

Analyze the the data seen in the table and displayed on the chart. Only answer the questions for which the analysis is true.

1. _____ Does the data form a straight line or roughly close to a straight line?
yesno
↓↓
First analysis conclusion: There is a mathematical relationship. Second conclusion: The data is linear. 2. _____ Does the data form a smooth curve or roughly close to a curve?
2. _____ Is the y-intercept zero or close to zero? yesno
yesno↓↓
3. __________ Third analysis conclusion: The intercept is 0. Use the table and chart to find the slope and write the slope in the blank with the appropriate units. 3. Third analysis conclusion: se the table and chart to find the slope __________ and intercept __________ with the appropriate units. First analysis conclusion: There is a mathematical relationship. Second conclusion: The mathematical relationship is non-linear. First and only analysis conclusion: There is probably not a mathematical relationship.

4. Sketch the magnetic force field lines for a magnet below.

magnet

5. ____________________ A Haier microwave oven consumes 1250 Watts at 120 volts. What is the current in amperes used by the microwave?

6. ____________________ A Haier microwave oven consumes 1250 Watts at 120 volts. What is the resistance of the microwave in Ohms (Ω)?

Formulas

Voltage V = current i × Resistance r

Power = current i × Voltage V

Physci spring 2008 • Physci • Courses • COMFSM