IB MYP 4-5 Physics- Calculating and measuring mass- Study Notes - New Syllabus
IB MYP 4-5 Physics- Calculating and measuring mass- Study Notes
Key Concepts
- Calculating and Measuring Mass
Calculating and Measuring Mass
Mass
Mass is a fundamental physical quantity representing the amount of matter in an object. Unlike weight, it does not depend on gravity.
- SI Unit: kilogram (kg)
- Common subunits: gram (g), milligram (mg)
- \( 1\,\text{kg} = 1000\,\text{g} \), \( 1\,\text{g} = 1000\,\text{mg} \)
Instruments for Measuring Mass
Digital/Electronic Balance
- Most accurate and commonly used in labs
- Accuracy: up to 0.01 g or 0.001 g depending on model
- Displays direct numerical reading
Triple-Beam Balance
- Uses counterweights on three beams for manual mass measurement
- Accuracy: around 0.1 g
- Requires user to balance the pointer at zero
Spring Balance
- Actually measures weight (force due to gravity), not mass
- Can be used to estimate mass only under known gravitational field
- Not suitable for accurate mass measurement
Measuring Mass of Solids and Liquids
Solids:
- Place the object directly on the balance pan
- If using a container, measure container mass first and subtract it
Liquids:
- Use a container (e.g., beaker) and measure its mass \( m_1 \)
- Pour the liquid and measure new mass \( m_2 \)
- Mass of liquid: \( m = m_2 – m_1 \)
Precautions and Accuracy Tips
- Ensure balance is placed on a level surface and calibrated properly.
- Use tongs or gloves to avoid adding hand oils/mass to the object.
- For liquids, always use a clean and dry container.
- Zero the balance before placing any object (tare function).
Example:
Why is it important to zero a digital balance before measuring the mass of an object placed in a container?
▶️ Answer/Explanation
Zeroing (or taring) the balance ensures that the mass of the container is not included in the measurement. This allows the balance to show only the mass of the object or substance placed inside the container.
If the balance is not zeroed, the mass reading will include both the container and the object, giving an inaccurate result.
Final Answer: \( \boxed{\text{To exclude the mass of the container from the measurement}} \)
Example:
Can a spring balance be used to measure mass directly? Why or why not?
▶️ Answer/Explanation
A spring balance measures the weight of an object — which is the force due to gravity (\( W = mg \)).
Mass is a scalar quantity and does not depend on location, while weight varies with gravity.
Thus, spring balances cannot directly measure mass unless you know the local gravitational field and convert weight to mass by dividing by \( g \).
Final Answer: \( \boxed{\text{No; it measures weight, not mass}} \)
Example:
An empty beaker has a mass of \( 120.5\,\text{g} \). After adding a liquid, the total mass is \( 178.9\,\text{g} \). What is the mass of the liquid?
▶️ Answer/Explanation
Use the formula:
\( m = m_2 – m_1 = 178.9 – 120.5 = 58.4\,\text{g} \)
The liquid alone has a mass of \( 58.4\,\text{g} \).
Final Answer: \( \boxed{58.4\,\text{g}} \)