Answer:
1) Mass that needs to be converted at 100% efficiency is 0.3504 kg
2) Mass that needs to be converted at 30% efficiency is 1.168 kg
Explanation:
By the principle of mass energy equivalence we have
![E=mc^{2}](https://tex.z-dn.net/?f=E%3Dmc%5E%7B2%7D)
where,
'E' is the energy produced
'm' is the mass consumed
'c' is the velocity of light in free space
Now the energy produced by the reactor in 1 year equals
![Energy=Power\times time\\\\\therefore Energy=1\times 10^{9}\times 365\times 24\times 3600\\\\Energy=31.536\times 10^{15}Joules](https://tex.z-dn.net/?f=Energy%3DPower%5Ctimes%20time%5C%5C%5C%5C%5Ctherefore%20Energy%3D1%5Ctimes%2010%5E%7B9%7D%5Ctimes%20365%5Ctimes%2024%5Ctimes%203600%5C%5C%5C%5CEnergy%3D31.536%5Ctimes%2010%5E%7B15%7DJoules)
Thus the mass that is covertred at 100% efficiency is
![mass=\frac{Energy}{c^{2}}\\\\mass=\frac{31.536\times 10^{15}}{(3\times 10^{8})^{2}}\\\\mass=\frac{31.536\times 10^{15}}{9\times 10^{16}}\\\\\therefore mass=0.3504kg](https://tex.z-dn.net/?f=mass%3D%5Cfrac%7BEnergy%7D%7Bc%5E%7B2%7D%7D%5C%5C%5C%5Cmass%3D%5Cfrac%7B31.536%5Ctimes%2010%5E%7B15%7D%7D%7B%283%5Ctimes%2010%5E%7B8%7D%29%5E%7B2%7D%7D%5C%5C%5C%5Cmass%3D%5Cfrac%7B31.536%5Ctimes%2010%5E%7B15%7D%7D%7B9%5Ctimes%2010%5E%7B16%7D%7D%5C%5C%5C%5C%5Ctherefore%20mass%3D0.3504kg)
Part 2)
At 30% efficiency the mass converted equals
![mass|_{30}=\frac{mass|_{100}}{0.3}\\\\mass|_{30}=\frac{0.3504}{0.3}\\\\mass|_{30}=1.168kg](https://tex.z-dn.net/?f=mass%7C_%7B30%7D%3D%5Cfrac%7Bmass%7C_%7B100%7D%7D%7B0.3%7D%5C%5C%5C%5Cmass%7C_%7B30%7D%3D%5Cfrac%7B0.3504%7D%7B0.3%7D%5C%5C%5C%5Cmass%7C_%7B30%7D%3D1.168kg)
Answer:
physics, escape velocity is the minimum speed needed for an object to escape from the gravitational influence of a massive body. The escape velocity from Earth is about 11.186 km/s (6.951 mi/s; 40,270 km/h; 25,020 mph)[1] at the surface. ... [2] Speeds higher than escape velocity have a positive speed at infinity.
I think one hour, sorry if i'm wrong
Bzzhbzaijsb she’s aha ha ha s she’s has shah a sus abuse she d dvhbx