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A proton is accelerated to 0.999 c
A proton is accelerated to 0.999 cA. What is the proton's momentum?
B. By what factor does the proton's momentum exceed its Newtonian momentum?
Final answer:The momentum of a proton moving at 0.999c is calculated using the relativistic momentum formula involving the Lorentz factor. Comparing this to the Newtonian momentum involves finding the ratio between the two, indicating the significance of relativistic effects at high velocities.Explanation:The momentum of a proton accelerated to 0.999 times the speed of light (c) can be calculated using relativistic momentum formula. In relativistic physics, the momentum p of a particle is given by p = γmv, where γ (gamma) is the Lorentz factor, m is the rest mass of the particle, and v is the particle's velocity. Because the speed is very close to the speed of light, non-relativistic formulas are not sufficient, and the Lorentz factor plays a crucial role in calculating the correct momentum.To compare the relativistic momentum with the Newtonian momentum, you would calculate the Newtonian momentum using p = mv and find the ratio of relativistic to Newtonian momentum. This ratio would give the factor by which the relativistic momentum exceeds the Newtonian momentum....