Answer:
The mass of the object is 4 kilograms.
Explanation:
From the Second Newton's Law, under the same force, we know that the mass of the object is inversely proportional to the acceleration experimented by the object:
[tex]m_{1}\cdot a_{1} = m_{2}\cdot a_{2}[/tex] (1)
Where:
[tex]m_{1}[/tex], [tex]m_{2}[/tex] - Masses, in kilograms.
[tex]a_{1}, a_{2}[/tex] - Accelerations, in meters per square second.
If we know that [tex]m_{1} = 22\,kg[/tex], [tex]a_{1} = 2\,\frac{m}{s^{2}}[/tex] and [tex]a_{2} = 11\,\frac{m}{s^{2}}[/tex], then the resulting mass is:
[tex]m_{2} = m_{1} \cdot \left(\frac{a_{1}}{a_{2}} \right)[/tex]
[tex]m_{2} = (22\,kg)\cdot \left(\frac{2\,\frac{m}{s^{2}} }{11\,\frac{m}{s^{2}} } \right)[/tex]
[tex]m_{2} = 4\,kg[/tex]
The mass of the object is 4 kilograms.
