To solve the problem, we need to determine the reading on each spring scale in Newtons. The scales are calibrated in both grams and Newtons, so we can use either unit to find the answer. Here's a step-by-step explanation for each scale:
---
Step 1: Understand the Calibration
Each spring scale has markings for both grams and Newtons. The relationship between grams and Newtons is given by:
\[
1 \text{ gram} = 0.0098 \text{ Newtons}
\]
However, the scales already provide direct conversions, so we can read the Newton values directly from the scale.
---
Step 2: Analyze Each Scale
####
Scale 1:
- The pointer is at
400 grams.
- From the calibration,
400 grams = 4 Newtons.
-
Reading: 4 Newtons
####
Scale 2:
- The pointer is at
150 grams.
- From the calibration,
150 grams = 1.5 Newtons.
-
Reading: 1.5 Newtons
####
Scale 3:
- The pointer is at
7 Newtons.
- No further conversion needed since it is already in Newtons.
-
Reading: 7 Newtons
####
Scale 4:
- The pointer is at
14 Newtons.
- No further conversion needed since it is already in Newtons.
-
Reading: 14 Newtons
####
Scale 5:
- The pointer is at
30 grams.
- From the calibration,
30 grams = 0.3 Newtons.
-
Reading: 0.3 Newtons
####
Scale 6:
- The pointer is at
7.5 Newtons.
- No further conversion needed since it is already in Newtons.
-
Reading: 7.5 Newtons
####
Scale 7:
- The pointer is at
300 grams.
- From the calibration,
300 grams = 3 Newtons.
-
Reading: 3 Newtons
####
Scale 8:
- The pointer is at
3.5 Newtons.
- No further conversion needed since it is already in Newtons.
-
Reading: 3.5 Newtons
---
Step 3: Summarize the Answers
Here are the readings for each scale in Newtons:
1. 4 Newtons
2. 1.5 Newtons
3. 7 Newtons
4. 14 Newtons
5. 0.3 Newtons
6. 7.5 Newtons
7. 3 Newtons
8. 3.5 Newtons
---
Final Answer:
\[
\boxed{4, 1.5, 7, 14, 0.3, 7.5, 3, 3.5}
\]
Parent Tip: Review the logic above to help your child master the concept of spring scale worksheet.