I heard that each day earth gets 100 tons heaver each day from space dust...but over the years, wouldnt?

Question

earth just get so heavy that it will just break its gravitational force, and go drifting of in space?

Answer 1

You cannot believe everything you hear. 100 tons per day is quite a lot. That's 100 times 365.25 days per year. 36525 tons per year. In one century, that's 3,652,500 tons. In a thousand years that's 36,525,000 tons. Do I need to go on? How long has the Earth been in existence?
5.976 * 10^24 Kg is the mass of the Earth. That's about 6,581,497,797,356,828,193,832.5991189427 tons. You can forget the decimals; it should round to 6.581 * 10^21 tons. I know, mixing units. You get the idea. (6.581 * 10^21)/36,525,000=180177960301163.5865845311430527
That's roughly how many thousands of years needed to accumulate enough dust to make another Earth if the rate of accumulation is about the same over the entire span of time. Put another way, that's 180.2 quadrillion years or a million million years. In computer terms, that's a 180.2 Tera-years.
Hope this helps. It's the long way around, but then again the numbers are big...very big. I even rounded a little.

Answer 2

Picking up mass does not necessarily change Earth's orbit. Assuming that the stuff falling from Earth is coming from all directions, it will tend to slow the Earth in its orbit. The amount of slowing is imperceptibly small. At the rate of 100 tons per day, the Earth has picked up 0.0000002 % of its mass this way in the 4,000,000,000 years since it formed.

Because the stuff comes from all directions this accumulation has slowed the Earth down by about 0.0007 mph in its 66,000 mph orbit around the Sun. This in turn means that the Earth would have moved about 2 miles farther away form the Sun over the last 4 billion years. So we are moving away from the Sun at an average rate of 0.00000000000006 mph.

Obviously, all these effects are WAY to small to be measureable or of any concern.

Answer 3

100 tons is miniscule compared to earth's mass. Actually, if it got too massive, it would be attracted to the sun even more and actually go closer to the sun. The increase in mass per year will have little effect on the orbit.