Hello,

Kindly solve this problem for me, or at least give me the procedure of equation to use. I don't know how to begin because I have not found any relationship that relate spring constant to time. If you find the solution, give me numerical result.

We have (see the picture):

1. A Compression spring fixed on one side to a reference. The spring free length is L.

2. An object of mass (m) attached to the spring.

3. A wall on which the mass (m) will be hitting.

Initially, the spring is at position (1) and the mass (m) have no velocity. When Force holding (m) disappear, The spring will push the mass (m) toward the wall with hatching lines. The distance traveled by the mass (m) is $\displaystyle x_2-x_1$ and this distance took a duration of time equal to t.

- Spring free length: L

- $\displaystyle F_1$: Force of spring when compressed by displacement $\displaystyle x_1$

- $\displaystyle F_2$: Force of spring when compressed by displacement $\displaystyle x_2$

**Data available:**
- Mass : m = 125g = 0.125 Kg

- Duration : t = 0.6 s

- Force : $\displaystyle F_1$ = 15 Newtons

- $\displaystyle x_2-x_1$ = 3 cm = 0.03 meter

**Questions: **
1- What is the amplitude of the Force $\displaystyle F_2$ ?

2- What is the spring constant $\displaystyle K$ ?

Thank You.