QUESTION IMAGE
Question
reasoning
the data support the claim because they show
there is a/an (direct / inverse) relationship between mass and acceleration when is constant. according to newton’s second law, the force on an object is equal to its mass times the acceleration. this law supports my claim because
data - part 2
| trial | force (n) | mass (kg) | time (s) | acceleration (m/s²) |
|---|---|---|---|---|
| 2 | 0.5 | 0.5 | 2.4 | 1 |
| 3 | 0.5 | 1.0 | 3.65 | 0.5 |
Step1: Analyze the data
In the table, the force is constant at 0.5 N for all trials. As the mass increases (from 0.2 kg to 0.5 kg to 1.0 kg), the acceleration decreases (from 2.5 m/s² to 1 m/s² to 0.5 m/s²).
Step2: Determine the relationship
Since an increase in mass leads to a decrease in acceleration when force is constant, there is an inverse relationship between mass and acceleration. According to Newton's second - law \(F = ma\), when \(F\) is fixed (\(F\) is a non - zero constant), \(m\) and \(a\) are inversely proportional (\(a=\frac{F}{m}\)).
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The data support the claim because they show that as mass increases, acceleration decreases when force is constant. There is an inverse (direct / inverse) relationship between mass and acceleration when force is constant. According to Newton’s second law, the force on an object is equal to its mass times the acceleration. This law supports my claim because when force is held constant, an increase in mass results in a decrease in acceleration as per the formula \(a = \frac{F}{m}\).