Answer:
Explanation:
Here we will call:
1. : The energy when the first spring is compress
2. : The energy after the mass is liberated by the spring
3. : The energy before the second string catch the mass
4. : The energy when the second sping compressed
so, the law of the conservations of energy says that:
1.
2.
3.
where is the work of the friction.
1. equation 1 is equal to:
where K is the constant of the spring, x is the distance compressed, M is the mass and the velocity, so:
Solving for velocity, we get:
= 65.319 m/s
2. Now, equation 2 is equal to:
where M is the mass, the velocity in the situation 2, is the velocity in the situation 3, is the coefficient of the friction, N the normal force and d the distance, so:
Volving for , we get:
3. Finally, equation 3 is equal to:
where is the constant of the second spring and is the compress of the second spring, so:
solving for , we get: