Answer: h = u^2 / 2g
Explanation:
Given the following :
Horizontal Velocity of projection= u
If :
magnitude of horizontal = magnitude of vertical Displacement
u = u
Minimum height of tower (h) =?
Horizontal Velocity = u
Gravity potential energy = mgh - - - (1)
Kinetic energy = 1/2 mu^2 - - - (2)
m = mass
Where u = magnitude of velocity
g = acceleration due to gravity
h = height
Equating (1) and (2)
mgh = 1/2 mu^2
gh = 1/2 mu^2
2gh = u^2
u = √2gh
Vertical component of Velocity 'v' will be:
u = √2gh
u = √2 × g × h
Square both sides
u^2 = 2 × g × h
h = u^2 / 2g
I believe the answer to be no.
Because it is fully parallel with the law of Conversation of Energy.
But even so,according to the second law, some, or a even a small amount will be transformed(internal or thermal)
Any object being acted on by gravity has constant acceleration,
and it's the same number for every object.
On Earth, the acceleration of gravity is 9.8 m/s² downward.
That means that an object moving down moves 9.8 m/s faster every
second, and an object moving up moves 9.8 m/s slower every second
(and eventually runs out of upward gas and starts moving downward).
At the top of its path, the rock's velocity changes from upward to downward.
If you change from upward velocity to downward velocity, the change
has to be smooth ... There's no way to jump from upward to downward
without going through every value in between. There has to be a split
second when you're not moving upward OR downward. At that split
second, your velocity is zero.
A gem is a stones that is used to make jewelry. A crystal is apure substance that has molecules arranged in "a regular geometric pattern". A gem can also be a crystal, whereas a crystal can not be a gem.
Hope this helps. <3