From this we see that when an object is lifted, like the suitcase in our example, it gains potential energy. As it falls back to the ground, it will lose this potential energy, but gain kinetic energy. We know that energy cannot be created or destroyed, but only changed from one form into another. In our example, the potential energy that the suitcase loses is changed to kinetic energy.
The suitcase will have maximum potential energy at the top of the cupboard and maximum kinetic energy at the bottom of the cupboard. Halfway down it will have half kinetic energy and half potential energy. As it moves down, the potential energy will be converted (changed) into kinetic energy until all the potential energy is gone and only kinetic energy is left. The
$\mathrm{19,6}\phantom{\rule{2pt}{0ex}}J$ of potential energy at the top will become
$\mathrm{19,6}\phantom{\rule{2pt}{0ex}}J$ of kinetic energy at the bottom.
During a flood a tree truck of mass
$100\phantom{\rule{2pt}{0ex}}\mathrm{kg}$ falls down a waterfall. The waterfall is
$5\phantom{\rule{2pt}{0ex}}m$ high. If air resistance is ignored, calculate
the potential energy of the tree trunk at the top of the waterfall.
the kinetic energy of the tree trunk at the bottom of the waterfall.
the magnitude of the velocity of the tree trunk at the bottom of the waterfall.
The mass of the tree trunk
$m=100\phantom{\rule{2pt}{0ex}}\mathrm{kg}$
The height of the waterfall
$h=5\phantom{\rule{2pt}{0ex}}m$ .
These are all in SI units so we do not have to convert.
The kinetic energy of the tree trunk at the bottom of the waterfall is equal to the potential energy it had at the top of the waterfall. Therefore
$KE=\mathrm{4\; 900}\phantom{\rule{2pt}{0ex}}J$ .
To calculate the velocity of the tree trunk we need to use the equation for kinetic energy.
A
$2\phantom{\rule{2pt}{0ex}}\mathrm{kg}$ metal ball is suspended from a rope. If it is released from point
$A$ and swings down to the point
$B$ (the bottom of its arc):
Show that the velocity of the ball is independent of it mass.
Calculate the velocity of the ball at point
$B$ .
The mass of the metal ball is
$m=2\phantom{\rule{2pt}{0ex}}\mathrm{kg}$
The change in height going from point
$A$ to point
$B$ is
$h=\mathrm{0,5}\phantom{\rule{2pt}{0ex}}m$
The ball is released from point
$A$ so the velocity at point,
${v}_{A}=0\phantom{\rule{2pt}{0ex}}m\xb7s{}^{-1}$ .
All quantities are in SI units.
Prove that the velocity is independent of mass.
Find the velocity of the metal ball at point
$B$ .
As there is no friction, mechanical energy is conserved. Therefore:
This proves that the velocity of the ball is independent of its mass. It does not matter what its mass is, it will always have the same velocity when it falls through this height.
We can use the equation above, or do the calculation from 'first principles':
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?