which will reach the ground first?

Question

of i take two metal balls of two different radii and take them to the top of a building and keep them in such a way that the line joing their centers is parllel to horizontal and i drop them from there which one will touch the groun first .
think hard.

the situation is in vacuum

Answer 1

If you align their centers parallel to the horizontal ground then the larger radius will impact first. Both will fall at the same rate and acceleration but the larger ball has a shorter distance to travel thus it will hit first.

Of course this also accepts the fact that you are not high enough for the spheres to reach their terminal velocities.

Answer 2

Using Newtonian principals, two objects of different mass will accelerate due to gravity at the same rate, and therefore have equal velocity for the length of the drop. Because both objects are the same shape, resistance factors are likewise equal, given that the objects are shperical, having only one point absoluetely perpendicular to the direction of travel and half or their surface area in a profile defined by complex mathematical deriivative. (This would be different it the objects were cubes.)

The larger of the two spheres will reach the ground first, as the leading edge of the shpere starts closer to the ground.

Proof: Hypotheitically, the two sphered could be diameter 2 in and diameter 6 inch, and dropped from a distsance of 6 inches. The smaller sphere has to drop 5 inches while the larger sphere has to only drop 3 inches.

Answer 3

Assuming they are in a vacum the balls, regardless of size or weight, will hit the ground at exactly the same time. The only thing that causes things that are heavier to fall faster on earth is terminal velocity. Terminal Velocity is the speed at which the wind resistance on a falling object becomes so great the it equals the force pulling it down, thus a constant speed. A heavier object produces more air resistance, thus it takes longer for the resistance to equal the speed, thus faster Terminal velocity.

Answer 4

The larger one will contact first assuming the same metal and same density of both balls. Under these conditions, the drag from the air will be proportionally equal, and the balls will fall at exactly the same rate. Since the bottom of the larger ball is closer to the ground at the start, it will contact the ground first.

Answer 5

Weight doesn't matter. If they are in a vacuum, then the center of mass of both fall at the same rate, but the one with larger radius will touch the ground first.

Answer 6

The one with the larger radius will because the force of gravity is acting on the centers of the object so the larger ball started lower to the ground.

Answer 7

The heavier ball will reach the ground first.But there are chances that none of them will hit the ground.If you let the balls fall from really tall building it means that you are in a big city witch means that the ground will be mostly covered with:people,cars,magazines etc.witch will stop the balls from hitting the ground.So there are 3 possibilities:
1)the heavier ball will reach the ground first.
2)none of them will reach the ground.
3)if they have the same weight the small ball will reach the ground first.

Answer 8

The larger. They fall at the same rate and their centers are at the same height but the larger ball having a larger radius will touch the ground first. Silly rabbit tricks are for kids.

Answer 9

I learned about this one dude named Galileo in GATE.
He had this theory. It was if you dropped two things at the same time then they would land at the same time. He had to tutor this one kid but I forgot his name. The kid didnt like Galileo so he tried so hard to prove him wrong. One day he walked ino Galileos room with a feather and a ball I think. He dropped them but when the ball landed way before he feather he looked at Galileo and walked away. I think that it was a long time after Galileo died that people went to a place where there was no gravity...the moon!
Astronaughts dropped the the feather and the ball at the same time and they both landedat the same time. So things do land at the same time! they will both land at the same time.

Answer 10

not enough info. suppose the larger ball has a radius 1-inch smaller than its height (its edge is 1 inch above the ground) and both are up 100 feet. larger drops 1 inch to contact ground and smaller one falls nearly 100 feet.