Relative Speed and Size of Two Spaceships Traveling in Opposite Directions

In summary, two spaceships are traveling relative to Earth, with one going to the right at 0.8c and the other going to the left at 0.8c. To find their relative speed to each other, you need to use the Lorentz factor and consider their rest frames. It is not possible for their relative speed to be 1.6c. As for their relative size, it is not specified and cannot be determined with the given information.
  • #1
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Homework Statement


Two spaceships are traveling relative to Earth (stationary). One spaceship is going to the right at 0.8c the other is going to the left at 0.8c.

a. What is their relative speed to one another?
b. what is their relative size?

Homework Equations


The Attempt at a Solution

 
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  • #2
How have you approached the problem so far?
Do you know how to find the Lorentz factor?
 
  • #3
You have the rest frame of one spaceship S' and the rest frame of the other spaceship S'', one is moving relative to the Earth with velocity 0.8c and one with -0.8c. You know that the two can't be approaching each other at 1.6c! So what do you have to do?
 

Related to Relative Speed and Size of Two Spaceships Traveling in Opposite Directions

1. What is relative speed?

Relative speed refers to the speed of an object or person in relation to another object or reference frame. It is the difference in speed between two objects or the speed of one object as measured by another.

2. How is relative speed calculated?

Relative speed is calculated by finding the difference in speed between two objects or the speed of one object in relation to another. This can be done by subtracting the speeds or using the relative velocity formula, which takes into account the direction of motion.

3. What is the importance of relative speed in physics?

Relative speed is important in physics because it allows us to understand the motion of objects in relation to each other. It helps us determine the speed and direction of objects, and is essential in studying concepts such as acceleration, velocity, and momentum.

4. How does relative speed affect collisions?

Relative speed plays a crucial role in determining the outcome of collisions between objects. The greater the relative speed between two objects, the more forceful the collision will be. This can result in greater damage or impact, depending on the objects involved.

5. What is the relationship between relative speed and size?

The relationship between relative speed and size is that the size of an object can affect its relative speed. For example, a larger object may have a greater relative speed than a smaller object, even if they are both moving at the same speed. This is because the larger object has a greater distance to cover in the same amount of time, resulting in a higher relative speed.

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