A proton with mass 1.67 × 10−²⁷ kg moves with a speed of 0.760 c in an accelerator.What is its relativistic momentum? (c = 3.00 × 10⁸ m/s) A) 3.65E-19 kg⋅m/s B) 7.90E-20 kg⋅m/s C) 5.61E-19 kg⋅m/s D) 2.37E-19 kg⋅m/s E) 4.80E-19 kg·m/s

Question

Quizplus · Accepted Answer

Relativistic momentum of an object with mass m and velocity v is given by:

p = γmv

where γ is the Lorentz factor, given by:

γ = 1/√(1 - (v^2/c^2))

Plugging in the given values, we get:

γ = 1/√(1 - (0.760c)^2/c^2) = 1.67

p = γmv = (1.67)(1.67 × 10^-27 kg)(0.760c) = 5.61 × 10^-19 kg·m/s

Therefore, the best choice is C.

A Proton with Mass 1