Question

Kinetic energy K and linear momentum P are related as K = (P² / 2m). What is the equation of the relative error Δk/k  in measurement of the K ? (mass in constant)

(a) (P / ΔP) (b) 2(ΔP / P) (c) (P / 2ΔP) (d) 4(ΔP / P)

Answer 1

(b) 2(ΔP / P)

Explanation:

k = (p² / 2m)

(Δk / k) = 2(Δp / p)