How fast could the person have to travel?

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A person with a mass of 48 kg wants to gain 12 kg relativistically, resulting in a new mass of 60 kg. The relevant formula for calculating the required speed is M = Mo / √(1 - v²/c²), where Mo is the original mass and c is the speed of light. After some algebraic manipulation and calculations, the correct speed to achieve this mass increase is approximately 0.6 times the speed of light. Participants in the discussion clarified the use of the formula and corrected misunderstandings about the mass values. Ultimately, the correct approach led to the conclusion that the required speed is around 1.8 x 10^8 m/s.
  • #51
i got 1.8*10^8
 
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  • #52
Aikenfan said:
I got:

V = Square root (1-(48/60)^2 (c)
=60,000,000

Is that correct?

No, that's not right. You need to both square (Mo/M), and then take the square root of
(1-(Mo/M)^2). It doesn't seem like you did that correctly. At least that's what it looks like to me.
 
  • #53
jenita said:
i got 1.8*10^8

This is the answer I get.
 
  • #54
thanks though...we got the correct answer its .6c ...i know what i did wrong... i already turned in my paper...thanks a looot...u were so helpfull...
 
  • #55
You're welcome. I'm glad you figured out what was going wrong!
 
  • #56
M0 is 48 and M is 60 the speed of light is 3x10 to the power of 8, insert everything in the equation and solve for v and you'll have the answer lol.
 
  • #57
wow...
 
  • #58
jalalmalo said:
M0 is 48 and M is 60 the speed of light is 3x10 to the power of 8, insert everything in the equation and solve for v and you'll have the answer lol.

this thread is over 2 years old...
 
  • #59
:P hehe my bad
 
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