How Does Gravity Affect an Object Falling Through a Hole in Earth?

  • Thread starter Thread starter stompyourface
  • Start date Start date
  • Tags Tags
    Earth Hole
AI Thread Summary
Gravity affects an object falling through a hole in the Earth by causing oscillation around the deepest point of the tunnel. When falling through a non-diameter chord, the gravitational force experienced at the midpoint differs from that at the center of the Earth. The force decreases as the object approaches the center, leading to a change in motion dynamics. The oscillation period is influenced by the distance from the center and the shape of the tunnel. Overall, the gravitational pull varies based on the object's position within the Earth.
stompyourface
Messages
2
Reaction score
0
Is there a difference between motion for an obect falling through hole at the center or falling through any two points??
 
Physics news on Phys.org
By any two points, I assume you mean a non-diameter chord?
 
yea. let's say a hole from uk to japan.
 
Hi. Both are oscillation around the deepest point of tunnel.
 
If you are at the middle of a chord, how does the force compare to when you are at the center of the earth?
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top