Podcast
Questions and Answers
What is the formula for density?
What is the formula for density?
- volume - mass
- volume / mass
- mass / volume (correct)
- mass * volume
What do you get when you multiply both sides of the density equation by volume and divide both sides by density?
What do you get when you multiply both sides of the density equation by volume and divide both sides by density?
- volume / mass
- mass / volume
- mass / density
- volume = mass / density (correct)
What is a crucial skill for scientists to have when working with data collection and analysis?
What is a crucial skill for scientists to have when working with data collection and analysis?
- Determining unknown values from known ones (correct)
- Ignoring formulas and using intuition
- Conducting experiments without a hypothesis
- Only considering qualitative data
What is the unit of the volume calculated in the example?
What is the unit of the volume calculated in the example?
What is the first step in determining a missing value in an equation?
What is the first step in determining a missing value in an equation?
What is the formula for speed in the racecar example?
What is the formula for speed in the racecar example?
What is the purpose of reorganizing a formula when determining a missing value?
What is the purpose of reorganizing a formula when determining a missing value?
How did the hours cancel out in the racecar example?
How did the hours cancel out in the racecar example?
If you have the equation 2 + x = 5, what should you do to get the unknown value, x, by itself?
If you have the equation 2 + x = 5, what should you do to get the unknown value, x, by itself?
What is the formula for force in the book example?
What is the formula for force in the book example?
Why might it be difficult to measure the volume of a copper chunk?
Why might it be difficult to measure the volume of a copper chunk?
What is the unit of the force calculated in the book example?
What is the unit of the force calculated in the book example?
What is an alternative to calculating the volume of a copper chunk from its mass and density?
What is an alternative to calculating the volume of a copper chunk from its mass and density?
What is the key to solving these types of problems?
What is the key to solving these types of problems?
What is the density of the copper chunk given in the example?
What is the density of the copper chunk given in the example?
Study Notes
Determining a Missing Value
- As a scientist, determining unknown values from known ones is a crucial skill.
- This skill is frequently used in data collection and analysis.
- Simple mathematic relationships can be used to calculate missing values.
Simple Algebra
- To determine a missing value, you need to know the formula.
- Memetrize basic formulas and look up others online or in texts.
- Rearrange the formula to get all known values on the same side.
Examples
- Basic example: 2 + x = 5, solve for x by subtracting 2 from each side.
- Density example: given density = 8.96 g/cm^3 and mass = 25 g, calculate volume.
- Formula: density = mass / volume, rearrange to get volume = mass / density.
- Solution: volume = 25 g / 8.96 g/cm^3 = 2.79 cm^3.
Speed and Distance
- Given speed = 125 mph and time = 15 minutes, calculate distance.
- Formula: speed = distance / time, rearrange to get distance = speed * time.
- Solution: distance = 125 mph * 0.25 h = 31.25 miles.
Force and Pressure
- Given pressure = 2 pounds/1 ft^2, calculate force.
- Formula: force = pressure / area, plug in values and calculate.
- Solution: force = 2 pounds/1 ft^2 = 2 pounds/ft^2.
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Description
Determining unknown values from known ones is a crucial skill in data collection and analysis. Learn how to use simple mathematic relationships to calculate missing values.
