(a) What minimum amount of energy does this acceleration require from the spaces

Question

(a) What minimum amount of energy does this acceleration require from the spaceship's fuel, assuming perfect efficiency?
J

(b) How much fuel would it take to provide this much energy if all the rest energy of the fuel could be transformed to kinetic energy of the spaceship?
kg A spaceship of mass 2.90 times 106 kg is to be accelerated to a speed of 0.740c. What minimum amount of energy does this acceleration require from the spaceship's fuel, assuming perfect efficiency? How much fuel would it take to provide this much energy if all the rest energy of the fuel could be transformed to kinetic energy of the spaceship?

Explanation / Answer

a) dE = KE = (gamma -1) m c^2 = (1/sqrt(1-0.74^2) - 1) *2.9E6*3E8^2=1.27E23 J

b) E=mc^2

m = 1.27E23/3E8^2=1.41E6 kg

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.