The vector sum of forces acting on a non-accelerating object equals zero.
equation form: ΣF = 0
        
                    
             
        
        
        
Answer with Explanation:
We are given that 


Spring constant,

a.Speed of ham before collision

Collision is inelastic 
According to law of conservation of momentum 



Kinetic energy of masses=Spring potential energy at maximum distance



Substitute the values 

1 m=100 cm
b.Time period,

 
        
             
        
        
        
I think it’s the scientific method
        
                    
             
        
        
        
Your book has applied the chain rule to produce:
dv/dt = dv/dx * dx/dt
Now, we can get dv/dx by:
1) Differentiate
x = vt, with respect to v.
dx/dv = t
Now, if we take the inverse of this, we can obtain dv/dx
dv/dx = 1/t
This is also proven by the fact that dv/dx is the change in velocity and if you multiply it by dv/dx, which is equivalent to dividing by the change in time, as we just proved, then you obtain acceleration.