What are the x-coordinates of the bombs' explosions as measured by train B?

One way to do this is to use x_A and x_B for the x-coordinates of the bombs as measured by train A and B, respectively, and t_A and t_B for the time coordinates of the bombs. We can then use the equations x_A = 2x_B and t_A = 2t_B to represent the statements made by the observers on train A and B. From there, we can use the equation x = x' - vt (where x is the measured coordinate, x' is the actual coordinate, and v is the velocity) to solve for the x-coordinates of the bombs as measured by train B. In summary, the problem involves two trains traveling in opposite directions, with bombs exploding at different times
  • #1
Dgonzo15
14
0

Homework Statement


I came across this problem in a worksheet and I am completely lost as to where to start; can someone help? The question is:

Two trains are heading at the same speed, relative to the Earth, in opposite directions. A bomb explodes on each train, but not at the same times. An observer on train A says that the x-coordinate of bomb A was twice that of bomb B. An observer on train B, using the same origin and orientation, says that the x-coordinate of bomb B was twice that of bomb A. However, they agree on the time coordinates: bomb A's time coordinate was twice that of bomb B's. What are the x-coordinates of the bombs' explosions as measured by train B?


Homework Equations


x=x'-vt?


The Attempt at a Solution


I have no clue where to start; this problem doesn't make sense to me and I need some help to actually start this problem.
 
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  • #2
Obviously, the first step is to translate the given statements into mathematical statements. This involves choosing a notation.
 

FAQ: What are the x-coordinates of the bombs' explosions as measured by train B?

What is Galilean Relativity?

Galilean Relativity is a principle stating that the laws of physics are the same for all observers moving at a constant velocity. This means that the laws of motion, such as Newton's laws, are the same for all observers regardless of their relative motion.

Who developed the concept of Galilean Relativity?

The concept of Galilean Relativity was first proposed by the Italian scientist Galileo Galilei in the 17th century. He observed that the laws of physics were the same for objects in motion as they were for objects at rest.

What is the difference between Galilean Relativity and Einstein's Theory of Relativity?

The main difference between Galilean Relativity and Einstein's Theory of Relativity is that Galilean Relativity only applies to observers moving at a constant velocity, while Einstein's theory applies to all observers regardless of their velocity. Additionally, Einstein's theory includes the concept of space-time and the speed of light as a constant.

How is Galilean Relativity applied in modern science?

Galilean Relativity is still used in many areas of modern science, such as classical mechanics and engineering. It is also used in everyday applications, such as navigation and transportation systems, where the laws of motion must be taken into account for accurate calculations.

Is Galilean Relativity still considered a valid principle in science?

Yes, Galilean Relativity is still considered a valid principle in science, but it has been superseded by Einstein's Theory of Relativity in certain cases. While Galilean Relativity is accurate for everyday observations, Einstein's theory is needed for objects moving at extremely high speeds or in strong gravitational fields.

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