Molecules in the solid phase have the least amount of energy, while gas particles have the greatest amount of energy.
A) 
The total energy of the system is equal to the maximum elastic potential energy, that is achieved when the displacement is equal to the amplitude (x=A):
(1)
where k is the spring constant.
The total energy, which is conserved, at any other point of the motion is the sum of elastic potential energy and kinetic energy:
(2)
where x is the displacement, m the mass, and v the speed.
We want to know the displacement x at which the elastic potential energy is 1/3 of the kinetic energy:

Using (2) we can rewrite this as

And using (1), we find

Substituting
into the last equation, we find the value of x:

B) 
In this case, the kinetic energy is 1/10 of the total energy:

Since we have

we can write

And so we find:

Answer:
350Joules
Explanation:
According to law of Conservation of energy, the amount of energy at the used up at the start is equal to that at the end.
The initial energy used up is gravitational potential energy
Final energy at the lowest point is kinetic energy.
If the energy is conserved then it means energy is not used up during the process hence;
Initial Potential energy = Final kinetic energy
If the gravitational potential energy is 350Joules then her final kinetic energy at the lowest point will also be 350Joules