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Newton’s Law of Universal Gravitation   According to legend, an apple dropped on Newton's head as he was sitting under an apple tree, prompting him to think of the "Universal Law of Gravitation." This is almost certainly not valid in its details, as it is in all such ways, but we will nowaddress what actually happened.   What really happened with Apple?   he more accurate version of the storey is that Newton started to think along these lines after seeing an apple fall from a tree: Since the apple's velocity varies from zero as it hangs from the tree and moves toward the earth, it is accelerated. As a result, Newton's 2nd Law dictates that there must be a force acting on the apple to induce this acceleration. Let's call this force "gravity," and the resulting acceleration "gravitational acceleration." Then multiply the height of the apple tree by two. Again, we expect the apple to be accelerated toward the earth, implying that the force we