But if she could jump high enough, wouldn't the increase in radius from the center of the earth slow down her progress around the earth due to conservation of angular momentum, and wouldn't she therefore land in a different place? In other words, wouldn't the angular velocity decrease causing the earth to "leave her behind" as it spins?
2006-08-19 12:11:07 · 9 answers · asked by efhw 1 in Science & Mathematics ➔ Physics
Yes, in theory.
When the person is standing on the Earth, both she and the ground beneath her have the same angular velocity.
When the girl jumps, her radius away from the Earth is increased causing her angular velocity to decrease whereas Earth's remains essentially unchanged.
The Earth would be spinning just a little bit fast than she is around the common point of rotation, causing her not to land in the same place as she originally jumped.
In practice, this effect is totally negligible for ordinary jump heights, especially when one takes into account air friction.
2006-08-19 13:00:25 · answer #1 · answered by mrjeffy321 7 · 1⤊ 0⤋
I don't have the equations to prove this, but look at your question this way. If you fire a rifle straight up into the air and you stand still for hours on end, do you get hit by the falling bullet? Another way to look at it is this way. When the space shuttle takes off it bends off to the side, but it is launched straight up. A smaller way to find the answer to this would be to buy a model rocket. The odds of it launching and landing on your head are very unlikely.
2006-08-19 15:00:27 · answer #2 · answered by Science Nerd 1 · 0⤊ 0⤋
IF SHE JUMPS REALLY HIGH.... tats the word you gotta tak notice of .... REALLY HIGH. and hw wud u expect a sane person 2 do tat. But my dear lil frn tats wat rockets do 1ce they are launched .. You see 4 a body to be left behind it has to be propelled at a speed high enough to overcum de earth's gravitational field. Well as of nw i jus Know bout Rockets and NO MAN / Woman who cud do it ......
PS : Rockets are released with a specific terminal velocity to prevent wat u said -"The Earth leavin it behind".. tats the reason rockets orbittin de Earth tend to stay here, and not leave the Earth's range....
2006-08-19 15:45:33 · answer #3 · answered by Krp_jk 1 · 0⤊ 0⤋
If she jumps really high, her initial velocity being greater than escape velocity, she will go into orbit (which is technically falling continuosly).
2006-08-19 12:22:10 · answer #4 · answered by WildPointer 3 · 0⤊ 0⤋
A body in motion will stay in motion ,if she was in space with no friction due to air what change would u be looking for??
2006-08-19 12:22:15 · answer #5 · answered by JOHNNIE B 7 · 0⤊ 0⤋
no, because she jumps relative to the ground straight up, she will come straight down because she jumps relative to the earth and comes back relative to the same rules.
2006-08-19 12:18:55 · answer #6 · answered by DJ 4 · 1⤊ 1⤋
If she could jump to such a theoretical height, then yes.
2006-08-19 12:38:32 · answer #7 · answered by iandanielx 3 · 0⤊ 0⤋
steroids are bad, in theory this could happen
2006-08-19 13:23:48 · answer #8 · answered by fire 2 · 0⤊ 0⤋
not really. it goes with her doesnt it?
2006-08-19 12:17:33 · answer #9 · answered by Annie 3 · 0⤊ 0⤋