**Answer:**

1)

2) See below

**Explanation:**

1)

The system of equations that we have in this problem is:

(1)

(2)

(3)

Here we want to solve the system for .

First of all, we isolate T from eq.(2):

And we substitute this expression into eq(1):

Solving for , we get

Now we can substitute this into eq(3):

And re-arranging for we find:

2)

We see that this solution satisfies all special cases. In fact:

- If ,

- If and , we get

Also, this solution has dimensions of acceleration. In fact:

- The term at the numerator is in the form , where mass is in kilograms and g is in meters per second squared (so, it is in the form mass*acceleration)

- The term at the denominator is a mass, so it is in kilograms

This means that is (mass*acceleration)/(mass), therefore it has dimensions of acceleration.

**Answer:**

0.44807175m

**Explanation:**

k = Spring constant = (Assumed, as it is not given)

g = Acceleration due to gravity = 9.81 m/s²

Total mass is

The total weight will balance the spring force

**The springs are compressed by 0.44807175m**

What type of reaction is being shown in this energy diagram

Measuring the Volume of Solids. The volume of solids is expressed in cubic measurements, such as cubic centimeter or cubic meter.

Convection cell that occurs at the lowest latitudes is called the Hadley cells. This is an atmospheric convection cell which is large-scale. The air rises at the equator and sinks at the medium latitudes which are 30 degrees north or south.