A projectile fired upward from the Earth's surface will usually slow down, come momentarily to rest, and return to Earth. For a certain initial speed, however it will move upward forever, with its speed gradually decreasing to zero just as its distance from Earth approaches infinity. The initial speed for this case is called escape velocity. You can find the escape velocity v for the Earth or any other planet from which a projectile might be launched using conservation of energy. The projectile of mass m leaves the surface of the body of mass M and radius R with a kinetic energy Ki = mv²/2 and potential energy Ui = -GMm/R. When the projectile reaches infinity, it has zero potential energy and zero kinetic energy since we are seeking the minimum speed for escape. Thus Uf = 0 and Kf = 0. And from conservation of energy,
Ki + Ui = Kf + Uf
mv²/2 -GMm/R = 0
∴ v = √(2GM/R)
This is the expression for escape velocity.
By tightening a string you are actually putting more stress on the string you are giving it a new frequency that isn't natural.
Hope this helps
<span />
We are given with the expression d = ut + 0.5 at^2 and is asked to express the equation in terms of a. First, we transpose ut to the left side, then we multiply to the equation and divide lastly the resulting equation by t^2. The final expression becomes a = 2(d-ut)/t^2.
Lycaon represents the worst of the iron age in his attempt to feed jupiter once living flesh.
<h3>
What is iron age?</h3>
The iron Age is the final epoch of the three-age division of the prehistory and protohistory of humanity.
It was preceded by the Stone Age, and the Bronze Age.
Who is lycaon?
In Greek mythology, Lycaon was a king of Arcadia who, in the most popular version of the myth, tested Zeus' omniscience by serving him the roasted flesh of Lycaon's own son Nyctimus, in order to see whether Zeus was truly all-knowing.
Thus, Lycaon represents the worst of the iron age in his attempt to feed jupiter once living flesh.
Learn more about lycaon here: brainly.com/question/18610700
#SPJ1
