Question about calculating a spring's extension

[Physics_Beginner300]

Homework Statement

A 1.5kg shotput has a velocity of 3.0 m/s and lands on a spring just before contact. The value of k, the spring constant, is 700 N m (Newton metres). Find how far the spring is compressed.

Relevant Equations

F = k(-x)
W (on mass) = Δ Ek
Δ Ek = 1/2 m v^2 - 1/2 m i^2 (v = final velocity and i = inital velocity)
Ep = mgh
W = 1/2 k x^2, where k = spring constant and x= extension of the spring

Hey guys, I think that the answer to this question is to solve for the amount of kinetic energy that the ball exerts on the spring, and the substitute that value to solve for x. However, I am not sure and quite stuck on how to start

 

[PeroK]

Problem Statement: A 1.5kg shotput has a velocity of 3.0 m/s and lands on a spring just before contact. The value of k, the spring constant, is 700 N m (Newton metres). Find how far the spring is compressed.
Relevant Equations: F = k(-x)
W (on mass) = Δ Ek
Δ Ek = 1/2 m v^2 - 1/2 m i^2 (v = final velocity and i = inital velocity)
Ep = mgh
W = 1/2 k x^2, where k = spring constant and x= extension of the spring

Hey guys, I think that the answer to this question is to solve for the amount of kinetic energy that the ball exerts on the spring, and the substitute that value to solve for x. However, I am not sure and quite stuck on how to start

It's not clear what's stopping you. In any case, you have to make a serious attempt first before we can help you.

Ps it's a "shot". The "put" is the style of throw.

 

[haruspex]

velocity of 3.0 m/s

Direction unspecified? That's awkward. Looks like you'll have to assume it is collinear with the spring.

solve for the amount of kinetic energy that the ball exerts on the spring, and the substitute that value to solve for x

To be precise, you would also need to take into account gravitational PE change during compression, but for that you would need to assume further that the ball fell vertically, which would not be a successful put.