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According to Newtonian mechanics, the momentum of an interplanetary express bus is p=mv. According to relativity, it is p=γmv.A.) How does the actual momentum of the bus moving at 0.98 c compare with the momentum it would have if classical mechanics were valid? Express your answer using two significant figures.prel/pNewt=____B) How does the momentum of an electron traveling at 0.98 c compare with its classical momentum? Express your answer using two significant figures.prel/pNewt=____

Answer :

Part A: Y is 7.1 when v = 0.98c.

Part B: When compared to what would be predicted if classical mechanics was accurate, the bus's momentum is much more than seven times greater.

Explain the term Newtonian mechanics?

  • The foundation of Newtonian mechanics is the application of Newton's Laws of Motion, which make the assumption that space, time, and mass are absolute concepts and that motion occurs in an inertial frame.

Part A: Actual momentum of the bus moving at 0.98 c.

velocity of interplanetary express bus v = 0.98 c.

Thus,

Y = 1/√(1 - v²/c²)

Y = 1/√(1 - (0.98c)²/c²)

Y = 7.07

Thus, Y = 7.1 for v = 0.98c.

Part B: Momentum of an electron traveling at 0.98 c

As Y = 7.1 for v = 0.98c.

Thus, when compared to calculations made using classical physics, the bus's momentum is more than seven times greater.

The same holds true for electrons and other fast moving objects.

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