Which Ball Lands First on the Moon?

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In summary, the lead ball would hit the ground first if dropped from a certain height onto the moon, where there is no air resistance, due to the Moon's net acceleration being towards the lead ball. However, if the two balls are dropped simultaneously from opposite sides of the Moon, the Moon's acceleration will be towards the lead ball and away from the wooden ball, resulting in the lead ball hitting the ground first. This can also be observed with a cow-shaped moon, where the lead ball will always land first regardless of the initial positions of the balls.
  • #1
Goongyae
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Which would hit the ground first if dropped from a certain height onto the moon, where there is no air resistance? A wooden ball 1 cm in radius, or a lead ball 1 cm in radius?
 
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  • #2
Goongyae said:
Which would hit the ground first if dropped from a certain height onto the moon, where there is no air resistance? A wooden ball 1 cm in radius, or a lead ball 1 cm in radius?

What are your thoughts? Where is this question from?
 
  • #3
Answer: the lead ball would hit first.

The moon's acceleration toward the lead ball would be greater than it would be toward the wooden ball. Thus the lead ball and the moon would collide in a shorter time.
 
  • #4
Goongyae said:
Answer: the lead ball would hit first.

The moon's acceleration toward the lead ball would be greater than it would be toward the wooden ball. Thus the lead ball and the moon would collide in a shorter time.

Do you really need to go into so many considerations while solving a brainteaser?
 
  • #5
ashishsinghal said:
Do you really need to go into so many considerations while solving a brainteaser?

Well I for one did not think of that angle. What do brainteasers mean to you?
 
  • #6
Goongyae said:
Answer: the lead ball would hit first.

The moon's acceleration toward the lead ball would be greater than it would be toward the wooden ball. Thus the lead ball and the moon would collide in a shorter time.

Not with the way the question was worded.

Both the lead ball and the wooden ball would accelerate towards the Moon at the same rate. The Moon's acceleration towards the two balls would depend on the combined mass of the wooden ball and the lead ball. The Moon can only have one net acceleration for any given instant of time. If the two balls are moving towards the Moon at the same rate, then the Moon can't move faster towards the lead ball than the wooden ball.

Unless...

The two balls are dropped simultaneously from opposite sides of the Moon - something that wasn't specified and normally wouldn't be assumed from the original wording of the question. In the latter case, the Moon's net acceleration would be towards the lead ball and away from the wooden ball, meaning the Moon-lead ball collision would take place before the Moon-wooden ball collision.
 
  • #7
BobG said:
Unless...

The two balls are dropped simultaneously from opposite sides of the Moon...
They don't have to be dropped from opposite sides. Any sufficiently large separation between the balls will result in the moon's acceleration vector pointing just a little bit more towards the lead ball than the wooden one. With a cow-shaped moon (i.e., perfectly spherical), you could drop the balls from arbitrarily close initial positions and "see" the lead ball land first.

PS: One must, of course, neglect the curvature of the moon's orbit for this experiment, or account for it carefully.
 

FAQ: Which Ball Lands First on the Moon?

What factors determine which object will hit the ground first?

The main factor that determines which object will hit the ground first is the force of gravity. Objects with a greater mass will experience a greater force of gravity and therefore fall faster than objects with a smaller mass. Other factors that can affect the speed at which objects fall include air resistance, shape, and surface area.

Will two objects with the same mass but different shapes hit the ground at the same time?

According to the law of gravity, two objects with the same mass will hit the ground at the same time regardless of their shape. However, objects with different shapes may experience different levels of air resistance, which can affect their speed and the time it takes to hit the ground.

Why does a feather fall slower than a brick?

A feather falls slower than a brick because it has a larger surface area and experiences more air resistance. This air resistance counteracts the force of gravity, causing the feather to fall at a slower rate. In a vacuum, where there is no air resistance, both the feather and the brick would fall at the same rate.

Will an object dropped on the moon hit the ground at the same time as an object dropped on Earth?

No, an object dropped on the moon will not hit the ground at the same time as an object dropped on Earth. This is because the moon has less mass than Earth, meaning it has a weaker gravitational force. Objects will fall slower on the moon due to this weaker force, causing them to take longer to hit the ground.

Can an object ever hit the ground at the exact same time as another object?

According to the law of gravity, two objects with the same mass and no air resistance will hit the ground at the exact same time. However, in real-life situations, it is highly unlikely that two objects will have the exact same mass and encounter the exact same amount of air resistance, making it nearly impossible for them to hit the ground at the exact same time.

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