ESTIMATION The Principle of Equivalence states that the

Chapter , Problem 45

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ESTIMATION The Principle of Equivalence states that the free-fall acceleration of any object in a gravitational field is independent of the mass of the object. This can be deduced from the law of universal gravitation, but how well does it hold up experimentally? The RollKrotkovDicke experiment performed in the 1960s indicates that the free-fall acceleration is independent of mass to at least 1 part in Suppose two objects are simultaneously released from rest in a uniform gravitational field. Also, suppose one of the objects falls with a constant acceleration of exactly while the other falls with a constant acceleration that is greater than by one part in How far will the first object have fallen when the second object has fallen 1.00 mm farther than the first object has? Note that this estimate provides only an upper bound on the difference in the accelerations; most physicists believe that there is no difference in the accelerations.