Newton Mechanics vs Special Relativity Problem

AI Thread Summary
The discussion focuses on comparing the momentum of a bus moving at 0.99c using Newtonian mechanics and special relativity. According to Newtonian mechanics, momentum is calculated as p = mv, while in special relativity, it is p = gamma*mv, where gamma accounts for relativistic effects. The user calculated the classical momentum as 99%cX and the relativistic momentum as 70.2%cX, prompting a request for others' calculations of gamma. The key takeaway is the significant difference in momentum values when considering relativistic effects versus classical mechanics. Understanding these differences is crucial for solving problems involving high-speed objects.
Kaleb
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Homework Statement


According to Newtonian mechanics the momentum of the bus in the preceding problem is p= mv. According to relativity, p = gamma*mv. How does the actual momentum of the bus moving at .99c compare with the momentum it would have if classical mechanics were valid?

*Note*
The previous problem only states a bus and has nothing to do with the question

Homework Equations


Classical
p = mv

Special
p=gamma*mv

The Attempt at a Solution


For classical I came up with 99%cX with x = mass
For special I came up with 70.2%cX with x = mass
 
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What did you get for gamma?
 

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