Answer: 115.38N
Explanation:
Firstly, let's determine the constant.
Hooke's law was discovered by Robert Hooke in 1660.
Using hooke's law which states that provided the elastic limit of an elastic material is not exceeded, the force is equal to the extension applied provided all factors are kept constant.
Hooke's Law is a principle of physics that states that the force which is needed to extend or compress a spring by some distance is proportional to that distance
Therefore,
Force=kx
K= F/x
Where Force= 75m
x= 0.065m
K= 75/0.065m
K= 1153. 846N
We can use the constant to find the force when the distance that is stretched(x) is known.
Here
Force=kx
F= 1153.846 × 0.10
F= 115.38N
The force required to stretch it by this amount is 115.38N.