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I've always read that all matter has gravity. But, can we observe it? I mean, The Earth pulls us but what about small daily objects?

For example, if we release 2 small objects in space, do they get closer?

My point of asking this question is that, maybe the gravity comes from the rotation of the Earth, not from its mass. I know I'm wrong by saying that but I want to know about the experiment and observation (aka proof) of that concept.

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There are many experiments, the most famous of them is probably the Cavendish experiment, done in 18th century by a British scientist.

I believe it was the first one to measure the force acting between two masses in a laboratory. He calculated the attraction between two lead spheres. http://en.wikipedia.org/wiki/Cavendish_experiment

So, I believe 'yes' is the answer to your question.

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