2, The spring would compress twice the length of
.
Explanation:
The Spring force is an application of Hooke's law, and using the law of conservation of energy in a spring system, we can find the relationship between the compression length and velocity.
Step by Step CalculationsFor a spring system, the conservation of energy can be applied using the formula below;
........................................1
Where k is the spring constant
is the distance
m is the mass and
v is the velocity
We have to make the distance the subject formula to know how it affects the velocity;
.....................................2
from the equation, it shows that the distance () is directly proportional to the velocity (v). This implies that when the distance increases the velocity also increases.
x ∝ v
Therefore when the initial speed is doubled to 2 v it will amount a double increase in the distance which is 2