Answer:
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Answer:
k = 4422.35  KN/m
Explanation:
Given that
Frequency ,f= 29 Hz
m = 7.5 g
Natural frequency ω
ω = 2 π f
We also know that for spring mass system
ω ² m =k        
k=Spring constant
So we can say that
( 2 π f)² =  m k
By putting the values
(2 x π x 29)² = 7.5 x 10⁻³  k
33167.69 = 7.5 x 10⁻³  k
k=4422.35 x  10³ N/m
k = 4422.35  KN/m
Therefore spring constant will be 4422.35  KN/m
 
        
             
        
        
        
Please find attached photograph for your answer. Please do comment whether it is useful or not.
 
 
        
             
        
        
        
Solution :
Let  kg
 kg
 m/s
 m/s
Let  and
 and  are the speeds of the disk
 are the speeds of the disk  and
 and  after the collision.
  after the collision.
So applying conservation of momentum in the y-direction, 





Therefore, the disk 2 have greater velocity and hence more kinetic energy after the collision.
Now applying conservation of momentum in the x-direction, 




 m/s
 m/s
So, 
           = 4.33 m/s
Therefore, speed of the disk 2 after collision is 4.33 m/s