Quantities that can be measured and has magnitude and unit
Physical quantities
Give example of base quantity energy
Mass, length and time
What is a quantity that has both magnitude and direction?
Vector
Vectors are represented graphically with arrows.
What type of error is caused by unpredictable fluctuations in measurements? And effects accuracy
Random error
Random errors can arise from various factors, including environmental conditions.
These quantities are measured with numbers and units, but also have a specific direction.
Vector
Vectors differ from scalars, which only have magnitude.
What is a way to express very large or very small numbers?
Scientific notation
Scientific notation simplifies calculations and comparisons of large values.
Convert 2.5 meters to kilometers.
0.0025 km
To convert meters to kilometers, divide by 1000.
Express 25000 kilograms in grams.
25000000 grams
To convert kilograms to grams, multiply by 1000.
If a car travels 510 km in 12 hours, what is its average speed in m/s?
11.81 m/s
What is the mean of the measurements 5.15 m, 5.14 m, 5.16 m, 5.13 m, and 5.16 m?
5.148 m
The mean is found by adding all values and dividing by the number of measurements.
What is the speed of a car in m/s if it is 60 mph?
To convert 60 mph to m/s, use the conversion factors: 1 mile = 1609.34 m and 1 hour = 3600 s.
Speed in m/s = 60 * (1609.34 / 3600) ≈ 26.82 m/s.
How to write 0.0000456 in scientific notation?
0.0000456 in scientific notation is 4.56 x 10^-5.
How to write 92,960,000 in scientific notation?
92,960,000 in scientific notation is 9.296 x 10^7.
How can you differentiate accuracy from precision?
Accuracy Is closeness to a true value.
Precision consistency.
An error that occurs unpredictably and varies in magnitude and direction.
Random error
An error that consistently occurs in the same direction, often due to measurement bias.
Systematic error
Fill in the blank: _____ describes how closely measurements are to each other.
Precision
Fill in the blank: _____ refers to how close a measured value is to a true value.
Accuracy
Who is more accurate when measuring a book with a true length of 17.0 cm:
Susan (17.0 cm, 16.0 cm, 18.0 cm, 15.0 cm)
Amy (15.5 cm, 15.0 cm, 15.2 cm, 15.3 cm)?
Susan
Which set of measurements is more precise:
a. 18.2 m, 18.4 m, 18.35 m
b. 17.9 m, 18.3 m, 18.85 m?
A
Give me the equation of area
Length and width
Give me the equation of volume
Length, width and height
Give me the equation of speed
Distance and time
Give me the equation of force
Mass and acceleration