Math Problem Statement
Bestäm arbetet som krävs för att accelerera ett objekt med massa 7,8 kg från hastigheten 0,47c till hastigheten 0,60c. Arbetet ges av skillnaden i kinetisk energi mellan slut- och starthastigheten.
Svaret ska anges i enheten PJ (petajoule, 1 PJ = 1015 J) och vara korrekt inom en felmarginal på 5%.
Använd c = 299 792 458 m/s.
Solution
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Math Problem Analysis
Mathematical Concepts
Relativistic Mechanics
Kinetic Energy
Work-Energy Theorem
Formulas
Relativistic kinetic energy: K = (γ - 1)mc^2, where γ = 1 / sqrt(1 - v^2/c^2)
Work done: W = ΔK = K_final - K_initial
Theorems
Special Relativity
Work-Energy Theorem
Suitable Grade Level
University Physics
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