Anne is working on a research project that involves the use of a centrifuge. Her samples must first experience an acceleration of 100g100g , but then, the acceleration must increase by a factor of five. By how much will the rotational speed have to increase? Express your answer as a fraction of the initial rotation rate.

The man of mass m1 and the woman of mass m2 are standing on opposite ends of the platform of mass m0 which moves with negligible friction and is initially at rest with s = 0. the man and woman begin to approach each other. derive an expression for the displacement s of the platform when the two meet in terms of the displacement x1 of the man relative to the platform.