Relativistic Collision: Find Velocity & Composite Body

In summary, the velocity of body B before the collision, as measured by the second observer, is -0.98c. The velocity of the composite body, as measured by the second observer, is also -0.98c, since it is equal to the velocity of body B before the collision.
  • #1
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1.To an observer two bodies of equal rest mass collide with velocities of 0.8c in different directions and cohere to produce a stationary composite body, to a second observer body A is at rest before the collision.

a. Find the velocity of body B as measured by the second observer before the collision.

b.What is the velocity of the composite body as measured by the second oberver?

3. my answer to part a:
-1.6c/1+0.64 =-0.98c

for part b. Could somebody please show me how to do this type of question? I am really stuck on this part .
 
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  • #2
The velocity of the composite body is equal to the sum of the velocities (relative to the second observer) of the two bodies before the collision. Since body A is at rest with respect to the second observer, the velocity of the composite body is equal to the velocity of body B before the collision: -0.98c.
 

FAQ: Relativistic Collision: Find Velocity & Composite Body

What is a relativistic collision?

A relativistic collision is a type of collision in which the objects involved are moving at speeds close to the speed of light. This means that the effects of special relativity, such as time dilation and length contraction, must be taken into account when calculating the results of the collision.

How do you find the velocities of the objects involved in a relativistic collision?

To find the velocities of the objects involved in a relativistic collision, you will need to use the equations of special relativity, such as the relativistic momentum equation and the relativistic energy equation. These equations take into account the mass, velocity, and energy of the objects before and after the collision.

What is a composite body in the context of a relativistic collision?

A composite body is a single object that is made up of multiple smaller objects. In the context of a relativistic collision, a composite body is the result of two or more objects colliding and sticking together. The mass, velocity, and energy of the composite body can then be calculated using the equations of special relativity.

Are there any assumptions or limitations when using special relativity to analyze a relativistic collision?

Yes, there are a few assumptions and limitations when using special relativity to analyze a relativistic collision. These include assuming that the objects involved are point masses, neglecting any external forces acting on the objects, and assuming that the collision is perfectly elastic (no energy is lost).

Is it necessary to use special relativity when analyzing a relativistic collision?

Yes, it is necessary to use special relativity when analyzing a relativistic collision. This is because at high speeds, the classical equations of motion, such as Newton's laws, do not accurately describe the behavior of objects. Special relativity takes into account the effects of time dilation and length contraction, which are important factors in a relativistic collision.

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