37 if you follow the straightest possible path through a spacetime diagram,
A. any time you are traveling through space at constant speed B. any time your worldline is perfectly straight C. You can never be truly weightless. D. any time you are very far from any planet E. any time your worldline is following the straightest possible path through spacetime Straight lines are the shortest paths between two points in flat space. Great circles are the shortest paths between two points on a sphere. Rules of Spherical Geometry A great circle is the shortest distance between two points. Parallel lines eventually converge. Angles of a triangle add up to > 180°. Circumference of circle is < 2 r.
The mass of the Sun causes spacetime to curve, so freely moving objects (such as planets and comets) follow the straightest possible paths allowed by the curvature of spacetime. Circles that were evenly spaced in flat spacetime become more widely spaced near the central mass.
If you follow the straightest possible path through a spacetime diagram,
An object floating freely has a worldline that follows the straightest possible path through spacetime. If you feel weight, then you are not on the straightest possible path What we feel as gravity arises from the curvature of spacetime. Mass causes spacetime to curve, and the curvature determines the paths of freely moving masses. If you follow the straightest possible path through a spacetime diagram • You must be traveling at the speed of light • You get from one place to another as fast as possible • You are in “free fall” – you do not feel any weight or acceleration • None of the above If you follow the straightest possible path through a spacetime diagram As he extended his theory of relativity, Einstein ... possible paths, but these "straight" lines follow the curved ... as straight as possible will meet.11 pages
If you follow the straightest possible path through a spacetime diagram,. • According to equivalence principle: • If you are floating freely, then your worldline is following the straightest possible path through spacetime. • If you feel weight, then you are not on the straightest possible path. © 2017 Pearson Education, Inc. What have we learned? •What is spacetime? From the name fabric, we infer that spacetime can be bent in any direction. ... then it is traveling in the straightest possible path through spacetime. Aug 28, 2016 · If you follow the straightest possible path through a spacetime diagram. A freefalling object then follows the straightest possible path in spacetime. Gravity arises from curvature of spacetime. Now a straight line takes me from the roof to the ground. Around a black hole spacetime becomes so curved that nothing can escape. A straight, vertical line. Planes traveling between Seattle and Tokyo often go near Alaska because the distance is shorter. If your wordline is following the straightest possible path through spacetime, then you will be weightless. According to general relativity, why does Earth orbit the Sun?
any time your worldline is following the straightest possible path through spacetime any time you are very far from any planet You can never be truly weightless. any time your worldline is following the straightest possible path through spacetime Suppose two lines appear to be parallel but eventually meet. In Einstein's theory of general relativity, the notion of gravity is obsolete. ... in the straightest possible paths through a curved spacetime. They are following the straightest possible paths through spacetime, and those paths curve so that the probes meet. Suppose the room in which you are sitting was magically transported off the Earth, and sent accelerating through the universe at 9.8 m/s2. As he extended his theory of relativity, Einstein ... possible paths, but these "straight" lines follow the curved ... as straight as possible will meet.11 pages
If you follow the straightest possible path through a spacetime diagram • You must be traveling at the speed of light • You get from one place to another as fast as possible • You are in “free fall” – you do not feel any weight or acceleration • None of the above If you follow the straightest possible path through a spacetime diagram An object floating freely has a worldline that follows the straightest possible path through spacetime. If you feel weight, then you are not on the straightest possible path What we feel as gravity arises from the curvature of spacetime. Mass causes spacetime to curve, and the curvature determines the paths of freely moving masses.
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