Answer:
The center of mass for the object is  
 from the origin 
Explanation:
From the question we are told that 
    The mass of the first object is  
    The position of first object with respect to origin 
    The mass of the second object is  
    The position of second object with respect to origin 
    The mass of the third object is  
    The position of third object with respect to origin 
    The mass of the fourth object is  
    The position of fourth object with respect to origin 
Generally the center of mass of the object along the x-axis is  zero  because all the mass lie on the y axis 
Generally the location of the center mass of the object is mathematically represented as 
     
=>
=>
 
        
             
        
        
        
Answer:
False
Explanation:
Let's consider the definition of the angular momentum,

where 
 is the moment of inertia for a rigid body. Now, this moment of inertia could change if we change the axis of rotation, because "r" is defined as the distance between the puntual mass and the nearest point on the axis of rotation, but still it's going to have some value. On the other hand,
 so 
 unless 
 ║  
.
In conclusion, a rigid body could rotate about certain axis, generating an angular momentum, but if you choose another axis, there could be some parts of the rigid body rotating around the new axis, especially if there is a projection of the old axis in the new one.
 
 
        
             
        
        
        
Explanation :
(1) Big bang : (1) The most accepted theory on the origin of the universe.
This theory shows the expanding of the universe from high density and high-temperature states.
(2) Steady state : (3) All is the same and will always stay the same.
Steady state means that the properties of any system remain the same always.
(3) Oscillating universe : (4) Agrees with the big bang theory but insists the universe expanded much quicker.
Oscillating universe theory is the result of big bang theory.
(4) Inflation Choices : (2) it's like an inflating and deflating balloon that never stops.  
In cosmology, cosmic inflation or deflation is just the expanding and contraction of the universe. 
So, the statements and the choices are related as:
                (1)-(1)
               (2)- (3) 
                (3)-(4)
                (4)-(2)
 
        
                    
             
        
        
        
(5 mi/hr) x (1hr/60min) x (10min) = 5 x 10 / 60 = <em>5/6 mile</em>
(5/6 mile) x (1,760 yd/mile) = <em>1,466 and 2/3 yards</em>