A proton and an antiproton collide in a particle accelerator and convert their masses into energy. How much energy is produced if the mass of each particle is 1.9x10-27 kg?
Accepted Solution
A:
Answer:34.2 × 10⁻¹¹ JStep-by-step explanation:Data provided in the question:A proton and an antiproton collideMass of proton = 1.9 × 10⁻²⁷ kgMass of antiproton = 1.9 × 10⁻²⁷ kgNow, By Einstein Theory, The Energy is given as:E = mc²Where, E is the energym is the massc is the speed of the light = 3 × 10⁸ m/sTherefore, The total energy produced = Energy by proton + Energy by antiprotonorThe total energy produced = 1.9 × 10⁻²⁷ × ( 3 × 10⁸ )² + 1.9 × 10⁻²⁷ × ( 3 × 10⁸ )²or= 2 × 1.9 × 10⁻²⁷ × ( 3 × 10⁸ )²= 3.8 × 10⁻²⁷ × 9 × 10¹⁶= 34.2 × 10⁻¹¹ J