A 20 kg body is released from rest so as to slide in between vertical rails and compresses a vertical spring `(k=1920(N)/(m)`) placed at a distance `h=1.0`m from the strating position of the body. The rails offer a frictional force of 40 N opposing the motion of body. Find (a) the velocity v of the body just before striking with the spring, (b) the maximum compression of the spring and (c ) the distance `h^(')` through which the body is rebounded up.

Explanation

To solve the problem step by step, we will break it down into three parts as requested.

### Given Data:
- Mass of the body, \( m = 20 \, \text{kg} \)
- Spring constant, \( k = 1920 \, \text{N/m} \)
- Distance from the starting position to the spring, \( h = 1.0 \, \text{m} \)
- Frictional force, \( f = 40 \, \text{N} \)
- Acceleration due to gravity, \( g = 10 \, \text{m/s}^2 \)
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