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Also the ball will begin to slow down as it approaches the core, because as it travels "down", the mass of Earth above it is increasing so the attraction "upwards" begins to take effect.Even if the earth had no atmosphere and all this happened on a vaccuum, it would not be air resistance determining terminal velocity, there would be the gravity of the mass above providing some braking.Whether or not the ball would make it past the core by some amount and then oscillate to and fro about the centre, is a good point of discussion.But.Gravitational attraction is a function of the relative masses of the two bodies, so mass between the ball and the surface is working opposite to that of the ball and the core.Just sayin'... Oh, and while we're on the topic..Coriolis force would not drag the ball against the walls if you went through the North Pole to the South Pole because the Earth would be rotating around the ball and if it didn't touch the sides, no energy would be transferred into the system.However, any other direction would cause trouble.
Which goes to show that there is no such thing as "simple" physics.
There is for simple people like me Dusty
Also the ball will begin to slow down as it approaches the core, because as it travels "down", the mass of Earth above it is increasing so the attraction "upwards" begins to take effect.Even if the earth had no atmosphere and all this happened on a vaccuum, it would not be air resistance determining terminal velocity, there would be the gravity of the mass above providing some braking.
'Fraid you're wrong there. The Simple Harmonic Motion of an object falling through a hole drilled in a sphere is literally a Physics 101 problem. The object will execute the same motion as a mass attached to a point by a spring, which is pulled back and released.In both cases, the force on the falling object is F = Kx, where K is a constant and x is the distance of the object from the center of attraction. The object has a force acting on it toward the center of the earth until it reaches the center, where the force on it is 0; since it has that force on it, it will continue to accelerate all the way down; however, it will have reached its maximum velocity at the center and will climb all the way out of the hole on the other side.Here's the derivation for the equation of motion of the object dropped:http://web.mit.edu/8.01t/www/materials/InClass/Raw/IC_Sol_W13D1-3.pdf"Simple Harmonic Motion" is a "term of art". "Simple" doesn't mean "easy" here ... it means that it's the basic statement of how the object moves. Friction, hysteresis, and all the other effects have their force vectors on the object too.Lannis
Oh dear. So if F = Kx, as x approaches zero, so the force acting to ACCELERATE it approaches zero.So I am in error suggesting it begins to slow down, it just shows a reduction in the rate of ACCELERATION tending towards CONSTANT VELOCITY which it will achieve at the centre ?Then the rate of DECELERATION will build as it heads towards the opposite side.Have I got that right Lannis ?
Sounds like hell to me, I love to drive or ride. Internal combustion engines forever!! Thank god I was born and lived thru the super bike era and I discovered Moto Guzzi�s!!
:1:... and Moto Morini's. Bliss is a 3 1/2 and a twisty road. Next best is a small block.
And the effect of the Earth's magnetic field on this core tunnel trip?
Extra points if you can find JJ in any of those pics.