SOLUTION: Relation Between Mass Force and Acceleration Worksheet ... - Free Printable

It looks like you've uploaded an image of a graph, but the details are not clearly visible due to the resolution or cropping. However, based on what I can observe:

- The graph appears to show a downward-sloping curve.
- The x-axis is labeled "Mass (kg)" and ranges from 0 to about 80 kg.
- The y-axis is labeled "Acceleration (m/s²)" and ranges from 0 to about 10 m/s².

This seems to be a plot of acceleration versus mass, which could represent a physics scenario such as Newton’s Second Law:
$$
F = ma \Rightarrow a = \frac{F}{m}
$$

If the force $ F $ is constant, then acceleration $ a $ is inversely proportional to mass $ m $. That explains the hyperbolic-like curve (decreasing with increasing mass).

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Step-by-step Interpretation:

1. Identify the relationship:
- As mass increases, acceleration decreases — this is consistent with inverse proportionality if force is constant.

2. Check for linearity:
- The curve is not linear, so it's not a straight line.
- This suggests that $ a \propto \frac{1}{m} $, meaning $ a = \frac{k}{m} $, where $ k $ is a constant (the applied force).

3. Determine the constant (force):
- Pick a point on the graph. For example, at $ m = 20 $ kg, $ a \approx 5 $ m/s².
- Then $ F = ma = 20 \times 5 = 100 $ N.
- Check another point: at $ m = 40 $ kg, $ a \approx 2.5 $ m/s² → $ F = 40 \times 2.5 = 100 $ N.
- At $ m = 60 $ kg, $ a \approx 1.7 $ m/s² → $ F = 60 \times 1.7 = 102 $ N (close enough, considering rounding).
- So the applied force is approximately 100 N.

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Conclusion:

The graph shows that acceleration decreases as mass increases, following the inverse relationship predicted by Newton's Second Law when the net force is constant.

#### Answer:
- The force applied is approximately 100 N.
- The relationship between acceleration and mass is inversely proportional.
- This confirms $ a = \frac{F}{m} $, with $ F \approx 100\, \text{N} $.

If you have a specific question about this graph (e.g., find acceleration at a certain mass, or determine force), please let me know!