LAB 1 - ANSWER INTRODUCTION TO NUMERICAL METHODS
How many significant figures are in this number: 2800 - ANSWER 2
Two students measure the strength of a certain magnetic field to have the
following values:
Student A: 1.14 +/- 0.05 T
Student B: 1.19 +/- 0.03 T
Do the students agree for the strength of the magnetic field? - ANSWER Yes
If I want to compare values before and after an event, I would use: - ANSWER
Percent change
If I want to compare two separate values, I would use: - ANSWER Percent
difference
If I want to compare predicted results to my measured results, I would use: -
ANSWER Percent error
Does setting up a best fit line mean "connecting the dots"? - ANSWER No
Suppose we want to linearized by substitution the formula for dependent
variable Kinetic Energy (K) with independent variable velocity (v). If the original
equation is K = 1/2 mv^2, what will our "new" independent variable (x) be when
we "map" this onto y=mx+b? - ANSWER v^2
You perform an experiment in slacking off at work by clocking out earlier each
week and seeing how it affects your paycheck. Properly title the graph and label
the axes for the plot your collected data. - ANSWER Title: Pay Received vs Time
worked
X-axis: Time worked (hours)
Y-axis: Pay received ($)
, The known area of a table is 1.50 m^2. You measure the length of the table to be
1.27 m and the width to be 1.17 m. what is the percent error between the known
area of the table and the measured area of the table you calculate using A= L*W
- ANSWER % error = | measured value - theoretical value | / theoretical value *
100%
% error = | 1.4859 - 1.50 | / 1.50 * 100%
% error = 0.94%
Momentum is defined as mass times velocity. You find the mass of a car to be
2014.88 kg and the velocity of the care to be 7.85 m/s, giving you a momentum of
15816.808 kg-m/s. Round this momentum to the correct number of significant
digits - ANSWER 15800
One example of tolerance "that matters in the real world" can be found in
radiation oncology clinics. Physicians will prescribe some dose of radiation to a
patient's tumor that must be delivered within a certain tolerance in order to
control the tumor. If a physician prescribes 55.7 Gy +/- 2.000%, what is the
maximum dose the patient can receive? - ANSWER 56.8
Humans life an average of 82.5 years in Canada. Express this time in units of
days if the conversion factor is exactly 365.25 days.
Round your answer to the correct number of significant digits as given by the
original time in years (because the conversion factor is known *exactly,*
meaning to infinite precision). - ANSWER 30100 days
The speed of light is 299,792,458 m/s. However most physicists round this
number to 3 X 10^8 m/s. What is the percent difference in these values using the
correct number of significant digits? Assume the exact speed of light is the
reference value. - ANSWER % difference = Second value - ref. value / ref. value *
100%
% difference = 300,000,000 - 299,792,,792,458 * 100%
% difference = 0.07%
LAB 2 - ANSWER MEASUREMENTS
Which of the following instruments will you be using to make measurements this
week in lab? - ANSWER meter stick, triple beam balance, digital caliper
In MKS units, final answers of mass should always be given in which of the
following units? - ANSWER kilograms
In this lab (and others) we will be doing calculations with the gravitational
constant g = 9.8 m/s^2. Because we will treat it as a mathematical constant
How many significant figures are in this number: 2800 - ANSWER 2
Two students measure the strength of a certain magnetic field to have the
following values:
Student A: 1.14 +/- 0.05 T
Student B: 1.19 +/- 0.03 T
Do the students agree for the strength of the magnetic field? - ANSWER Yes
If I want to compare values before and after an event, I would use: - ANSWER
Percent change
If I want to compare two separate values, I would use: - ANSWER Percent
difference
If I want to compare predicted results to my measured results, I would use: -
ANSWER Percent error
Does setting up a best fit line mean "connecting the dots"? - ANSWER No
Suppose we want to linearized by substitution the formula for dependent
variable Kinetic Energy (K) with independent variable velocity (v). If the original
equation is K = 1/2 mv^2, what will our "new" independent variable (x) be when
we "map" this onto y=mx+b? - ANSWER v^2
You perform an experiment in slacking off at work by clocking out earlier each
week and seeing how it affects your paycheck. Properly title the graph and label
the axes for the plot your collected data. - ANSWER Title: Pay Received vs Time
worked
X-axis: Time worked (hours)
Y-axis: Pay received ($)
, The known area of a table is 1.50 m^2. You measure the length of the table to be
1.27 m and the width to be 1.17 m. what is the percent error between the known
area of the table and the measured area of the table you calculate using A= L*W
- ANSWER % error = | measured value - theoretical value | / theoretical value *
100%
% error = | 1.4859 - 1.50 | / 1.50 * 100%
% error = 0.94%
Momentum is defined as mass times velocity. You find the mass of a car to be
2014.88 kg and the velocity of the care to be 7.85 m/s, giving you a momentum of
15816.808 kg-m/s. Round this momentum to the correct number of significant
digits - ANSWER 15800
One example of tolerance "that matters in the real world" can be found in
radiation oncology clinics. Physicians will prescribe some dose of radiation to a
patient's tumor that must be delivered within a certain tolerance in order to
control the tumor. If a physician prescribes 55.7 Gy +/- 2.000%, what is the
maximum dose the patient can receive? - ANSWER 56.8
Humans life an average of 82.5 years in Canada. Express this time in units of
days if the conversion factor is exactly 365.25 days.
Round your answer to the correct number of significant digits as given by the
original time in years (because the conversion factor is known *exactly,*
meaning to infinite precision). - ANSWER 30100 days
The speed of light is 299,792,458 m/s. However most physicists round this
number to 3 X 10^8 m/s. What is the percent difference in these values using the
correct number of significant digits? Assume the exact speed of light is the
reference value. - ANSWER % difference = Second value - ref. value / ref. value *
100%
% difference = 300,000,000 - 299,792,,792,458 * 100%
% difference = 0.07%
LAB 2 - ANSWER MEASUREMENTS
Which of the following instruments will you be using to make measurements this
week in lab? - ANSWER meter stick, triple beam balance, digital caliper
In MKS units, final answers of mass should always be given in which of the
following units? - ANSWER kilograms
In this lab (and others) we will be doing calculations with the gravitational
constant g = 9.8 m/s^2. Because we will treat it as a mathematical constant
