Answer:
option A
Explanation:
given,
distance between two masses is doubled
new distance, r' = 3 r
using gravitational force equation
 ............(1)
............(1)
new gravitational force
 
 
now from the given condition
 
 
 
 
 
 
now, from equation (1)
 
 
 
 
now, the change in gravitational force factor is equal to  
 
Hence, the correct answer is option A
 
        
             
        
        
        
Answer:
Radius, 
Explanation:
It is given that,
Magnetic field, B = 0.275 T
Kinetic energy of the electron, 
Kinetic energy is given by :


 
            
v = 1037749.04 m/s
The centripetal force is balanced by the magnetic force as :




So, the radius of the circular path is  . Hence, this is the required solution.
. Hence, this is the required solution.
 
        
                    
             
        
        
        
Answer:
If the ship speed is doubled, then the power developed is 8 times the initial value.
Explanation:
ship power is roughly proportional to the cube of the speed, so 
P ∝ v³
If the speed is doubled, then the power developed becomes
P  ∝ (2)³ = 8 times 
Therefore, if the ship speed is doubled, then the power developed is 8 times the initial value.
 
        
             
        
        
        
Speed = (distance) / (time)
Speed = (2.3 m) / (3 sec)
Speed = (2.3/3) (m/s)
<em>Speed = 0.766... m/s</em>