F.J.
Brennan High School
Science
Department
Physics
SPH
4A0
Name:
___________________________
MEASUREMENT
AND ANALYSIS TEST
INSTRUCTIONS:
1) Answer
all questions in the spaces provided.
2) Your
solutions to the mathematical problems should contain enough detail that part
marks may be allocated for incorrect solutions.
3) Include
all formulas where necessary.
Marks
10 1) State
the number of significant digits in each of the following.
a) 9009
______ f) 70.260 ______
b) 10004 ______ g) 940.32 ______
c) 0.01000 ______ h) 8.40 ______
d) 4200 ______ i) 402
______
e) 0.000000720
______ j) 0.01 ______
5 2) Express
each of the following numbers in scientific notation.
a) 276 000 __________________________________
b) 0.276 x 1022 __________________________________
c) 0.00000004821 __________________________________
d) 920.2 x 10-26 __________________________________
e) 429 x 103 __________________________________
4 3) Perform
the following mathematical operations, expressing the answers to the correct
number of significant digits.
a) 122.8 __________________________________
b) 0.467/0.016 __________________________________
c) 429.68-42.8 __________________________________
d) 4.022 __________________________________
6 4) A
student measures the acceleration due to gravity (g) and finds it to be 9.69
m/s2. If the accepted value
for g is 9.81 m/s2 calculate:
i) absolute
error
ii) percentage error
iii) if
his partner calculates g as 9.76 m/s2,
calculate the percentage difference
3 5) Determine
the relationship between D and C from the data given in the following table:
|
C |
1 |
2 |
4 |
10 |
|
D |
2 |
1/2 |
1/8 |
1/50 |
3 6) Determine
the relationship between P and Q from the data supplied in the following table:
|
Q |
800 |
32 |
50 |
8 |
|
P |
7 |
35 |
28 |
70 |
4 7) The
mass of a fish is directly proportional to the cube of its length. A certain fish, 8 cm long has a mass of 2
kg. What is the mass of a fish that is
24 cm long?
1 8) Which
of the following graphs represents the relationship where "G" varies
inversely with "H"?
15 9) A
tank of water can be emptied through any one of five pipes located near its
bottom. Each pipe has a different
cross-sectional area. The following table
shows the times it takes for the water to empty out through the pipes, one at a
time:
|
Area of opening (m2) |
0.020 |
0.050 |
0.070 |
0.100 |
0.130 |
|
Time to
empty (min) |
7.4 |
3.0 |
1.9 |
1.4 |
1.1 |
Using the table perform the
following:
a) Plot a graph of the data.
b) Find
the proportionality expression between A and t.
c) Express
the relationship in b) as an equation.
d) Find
the proportionality constant "k".
e) Determine
the length of time to empty out the pipes if the area of the opening is 0.160 m2.