Question

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?

Answer 1

Answer : Mass of first object is 0.075 kg and mass of third object is 0.5 kg.

Explanation :

It is given that,

Mass of object 2, $m_2=0.2\ kg$

From the given graph, Force on object 2 $F_2=5\ N$

Acceleration of object 2, $a_2=5\ a_1$

From Newton's second law, F = ma

$5\ N=0.2\ kg\times5\ a_1$

$a_1=5\ m/s^2$............(1)

For object 3,

$F_3=5\ N$

$a_3=2\ a_1$

So, $F_3=m_3\times a_3$

$5\ N=m_3\times 2\times 5\ m/s^2$

$m_3=0.5\ kg$

For object 1,

$F_1=1.5\ N$

$a=4\ a_1=20$

$F_1=m_1 \times a$

$m_1=0.075\ kg$

So, the mass of object 1 is 0.075 kg and the mass of object 3 is 0.5 kg.

Answer 2

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

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