It a stage known as the "Main Sequence" stage. Stars achieve nuclear stability at this point and remain in this stage until the end of their lives.
Have a nice day!
As AL2006 correctly pointed out the formula is 1/2 kx^2. I was thinking of force and work is the integral of force over the distance applied. So now

and
Answer:
The value is 
Explanation:
From the question we are told that
The height is 
The time taken is
From the equation of motion we have that

Here u = 0 because the rocket started at rest

=> 
=> 
Also from the kinematic equation we have that

=> 
=> 
To solve this problem we will apply the concepts related to centripetal acceleration, which will be the same - by balance - to the force of gravity on the body. To find this acceleration we must first find the orbital velocity through the Doppler formulas for the given periodic signals. In this way:

Here,
Orbital Velocity
Maximal Wavelength
Average Wavelength
c = Speed of light
Replacing with our values we have that,

<em>Note that the average signal is 3.000000m</em>

Now using the definition about centripetal acceleration we have,

Here,
v = Orbit Velocity
r = Radius of Orbit
Replacing with our values,



Applying Newton's equation for acceleration due to gravity,

Here,
G = Universal gravitational constant
M = Mass of the planet
r = Orbit
The acceleration due to gravity is the same as the previous centripetal acceleration by equilibrium, then rearranging to find the mass we have,



Therefore the mass of the planet is 
Answer:

Explanation:
density of the solid box material = 
density of the liquid material = 
Given that
solid box floats with two thirds of its volume submerged in a liquid
let V be the volume of the box
then,

⇒
so, the ratio of densities of solid and and the liquid is 2/3