The figure below shows an acceleration-versus-force graph for three objects pulled by rubber bands. The mass of object 2 is 0.20 kg. What are the masses of objects 1 and 3?

The mass of object 1 is 0.08 kg, the mass of object 2 is 0.2 kg and the mass of object 3 is 0.5 kg.
The given parameters;
The acceleration of object 2 is calculated as follows;
F = ma
where;
Considering object 2: From the graph when the force = 3 N, the acceleration = 3a₁
3 = 0.2 (3a₁)
3 = 0.6a₁
[tex]a_1 = \frac{3}{0.6} \\\\a_1 = 5 \ m/s^2[/tex]
For object 1: when the force = 2 N, the acceleration = 5a₁
2 = 5a₁(m)
2 = 5 x 5(m)
2 = 25m
[tex]m= \frac{2}{25} \\\\m = 0.08 \ kg[/tex]
For object 3: when the force = 5 N, the acceleration = 2a₁
5 = 2a₁(m)
5 = 2 x 5(m)
5 = 10m
[tex]m= \frac{5}{10} \\\\m = 0.5 \ kg[/tex]
Thus, the mass of object 1 is 0.08 kg, the mass of object 2 is 0.2 kg and the mass of object 3 is 0.5 kg.
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