A particle is moving at 0.75c relative to a lab on Earth.By what percentage is the Newtonian expression for its momentum in error? (The percentage error is the difference between the erroneous and correct values,divided by the correct one).
A) 34%
B) 28%
C) 38%
D) 43%

Question

Quizplus · Accepted Answer

The Newtonian momentum is given by p = mv, while the relativistic momentum is p = γmv, where γ = 1/√(1-v²/c²). For v = 0.75c, γ ≈ 1.511. The percentage error is [(γmv - mv) / (γmv)] * 100% ≈ 34%.

A Particle Is Moving at 0