According to Mach’s principle how would the rotation of objects differ in a universe with less matter in it?

  1. According to Mach’s principle how would the rotation of objects differ in a universe with less matter in it? Explain how measurable quantities such as centripetal force, angular momentum, and moment of inertia would change, if at all.
  2. A flashbulb is set off in the center of a car on a moving train. Light sensors on the front and rear walls of the car record the light emitted by the flash bulb. Describe how the light would illuminate the walls of the car as observed by an observer on the train and an observer standing next to the tracks on the ground. Explain the observations.

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