Task: Measuring Gravity
The task involves measuring the weight and mass of different objects and determining the relationship between them. Let's solve the problem step by step.
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Step 1: Understanding the Relationship Between Mass and Weight
-
Mass is a measure of the amount of matter in an object and is constant regardless of location.
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Weight is the force exerted on an object due to gravity and is calculated as:
\[
\text{Weight (N)} = \text{Mass (kg)} \times g
\]
where \( g \) is the acceleration due to gravity, approximately \( 10 \, \text{m/s}^2 \) on Earth.
From the instructions:
-
Mass (kg) can be calculated as: \( \text{Mass} = \frac{\text{Weight}}{10} \)
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Weight (N) can be calculated as: \( \text{Weight} = \text{Mass} \times 10 \)
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Step 2: Predicting the Link Between Mass and Weight
The question asks to underline one statement as your prediction about the link between mass and weight. The correct statement is:
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a. The mass of each object will be the same as its weight (in appropriate units).
This is because weight is directly proportional to mass, with the proportionality constant being \( g \approx 10 \, \text{m/s}^2 \).
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Step 3: Filling in the Table
We are given some values for mass and weight and need to calculate the missing values using the formulas:
1.
Tea cup:
- Mass = 2 kg
- Weight = Mass × 10 = \( 2 \times 10 = 20 \, \text{N} \)
2.
Paper plate:
- Mass = 0.5 kg
- Weight = Mass × 10 = \( 0.5 \times 10 = 5 \, \text{N} \)
3.
Laptop:
- Weight = 300 N
- Mass = Weight ÷ 10 = \( 300 \div 10 = 30 \, \text{kg} \)
4.
Sports shoe:
- Weight = 45 N
- Mass = Weight ÷ 10 = \( 45 \div 10 = 4.5 \, \text{kg} \)
5.
Electric kettle:
- Mass = 18 kg
- Weight = Mass × 10 = \( 18 \times 10 = 180 \, \text{N} \)
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Step 4: Completed Table
Using the calculations above, the completed table is:
| Name of object | Mass (kg) (= weight / 10) | Weight (N) (= mass × 10) |
|----------------|---------------------------|--------------------------|
| Tea cup | 2 kg | 20 N |
| Paper plate | 0.5 kg | 5 N |
| Laptop | 30 kg | 300 N |
| Sports shoe | 4.5 kg | 45 N |
| Electric kettle| 18 kg | 180 N |
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Step 5: Conclusion
The relationship between mass and weight is linear, with weight being 10 times the mass (assuming \( g = 10 \, \text{m/s}^2 \)). This confirms that there is a direct link between mass and weight.
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Final Answer:
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Name of object} & \text{Mass (kg)} & \text{Weight (N)} \\
\hline
\text{Tea cup} & 2 & 20 \\
\text{Paper plate} & 0.5 & 5 \\
\text{Laptop} & 30 & 300 \\
\text{Sports shoe} & 4.5 & 45 \\
\text{Electric kettle} & 18 & 180 \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of mass and weight worksheet.
