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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 figure below shows an accelerationversusforce graph for three objects pulled by rubber bands The mass of object 2 is 020 kg What are the masses of objects 1 class=

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such a great question
answer:
object 1 = 0.1kg
object 2 = 0.5kg

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Ver imagen mathssydney

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;

  • mass of object 2 = 0.2

The acceleration of object 2 is calculated as follows;

F = ma

where;

  • a is the acceleration of the object

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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