brooksquest:
WannaB,
Suppose you wanted to accelerate a solid mass, say, a golf ball, to extreme velocity. Aside from having Tiger Woods smack it with his driver, how could you accelerate it to the fastest possible velocity?
That is the question in this thread.
Is there a formula that states the limit a golf ball can endure? or for any other solid substance? The HST orbits the Earth at 5 miles per second. A fraction of the speed of light but still pretty fast for a huge device made of multiple substances. Would a super-hard substance like a diamond or perhaps one of the new super-hard carbons be able to hold together at extreme velocity?
BQ
:
Hi again BQ
The problem is not velocity..Its acceleration. THere is no preferred state of velocity. Every object is at rest relative to itself . Its properties are perfectly normal from the point of view of anything sharing its state of motion. There is no particular velocity that causes internal stress in a solid.
What are the limits of acceleration? That seems to be important in your line of thinking although I'm not sure why. A ship accelerating at a comfortable 1 G will be at relativistic speed relative to its starting point in a matter of weeks..no unusual stresses. Faster acceleration rates do not change the physics of relativity or any of its limits. It just compresses the timeline from the unaccelerated frame of reference and stresses the accelerating matter closser to or beyond its limits.
It is interesting to think about the golf ball being impacted by a club near light speed. There would be a tremendous explosion and not only would the golf ball not hold together but the constituent matter of both the club and the ball would be converted to all kinds of interesting exotic particles including copious photons, pions, kaons ..and their anti-matter counterparts. Maybe the elusive higgs boson would finally be detected. In the end when the dust settled much of the kenetic energy in the club would be converted to matter and all the shards and bits would add up to more mass than the original rest masses of the club and ball.
The golf ball is mostly space...since its constituent atoms are mostly space. The forces holding the ball together are the electromagnetic force, the electroweak force, and the strong nuclear force (gravity is the weak cousin force that would become significant only for a much larger object). Of these all of our everyday experience is with the electromagnetic force although in this collision after the constituent atoms disintegrate all of these forces come into play.
Every push and pull in every machine is transmited by the electromagnetic force ..specifically the like charges of electons keeping the atoms from getting too close and opposite charges of electrons and protons keeping the atoms from stretching apart. When something gets pushed photons are emitted and absorbed to pass the force from atom to atom. On earth there is no such thing as a rigid body. In the impact of the club, the far side of the ball will still be at rest until the photons have a chance to pass the impact forces along. Photons of course do not go faster than c so picture half the ball exploding in a shower of exotic particles traveling near or at c (massive or massless particles respectively). ...until the radius of this explosion reaches the far side of the ball, the dimples, Tigers signature, etc are still intact and motionless...
PH