Respuesta :
Answer:
The mass of the unknown body is 4.00 kg
Explanation:
To solve the problems within the masses we must set a reference system, we will place it in the unknown mass. The equation for the center of masses
Xcm = ∑ Xi mi / Mt
With xi the distance from the reference system, mi body mass and Mt all masses.
In our case
m1 0 1.00 kg
Xi = 2.00 m
The unknown body is on the reference system
m2 =?
X2 = 0 m
We calculate the position of the mass center for our reference system
Xcm = 2 -1.6
Xcm = 0.400 m
We substitute and calculate
Xcm = m1 X1 / (1 + m2)
(1 + m2) = m1 X1 / Xcm
(1 + m2) = 1.00 2.00 / 0.4.00
(1 + m2) = 5.00
m2 = 5.00 -1
m2 = 4.00 Kg
The mass of the unknown body is 4.00 kg
The center of mass is the point where the whole mass of the body is concentrated. The mass of the other object will be 4.00 kg.
What is the center of mass?
The unique location where the weighted relative position of the dispersed mass adds to zero is known as the center of mass of a distribution of mass in space.
The given data in the problem is;
m is the mass of rod= 2.00-m r
m₁ is the mass of object connected= 1.00 Kg
m₂ is the unknown mass=?
X₁ is the center of mass of the rod end 1= 2.00 m
X₂ is the reference = 0 m
The center of mass of the whole body is;
[tex]X_{cm}= 2-1.6 \\\\ X_{cm}= 0.400 m[/tex]
We find the value as;
[tex]X_{cm }= m_1 X_1 / (1 + m_2)\\\\ (1 + m_2) = \frac{m_1 X_1 }{ X_{cm}} \\\\ (1 + m_2) =\frac{ 1.00 2.00 }{0.4.00} \\\\ (1 + m_2) = 5.00\\\\ m2 = 5.00 -1\\\\ m2 = 4.00 Kg[/tex]
Hence the mass of the other object will be 4.00 kg.
To learn more about the center of mass refer to the link;
https://brainly.com/question/8662931
