Suppose that we could use the energy released when 1 g of an

Suppose that we could use the energy released when 1 g of antimatter annihilates 1 g of matter to lift a mass 1 km from the Earth’s surface. How much mass could we lift? Answer in units of kg.

Solution

E = m c² = 0.002 kg * ( 3 * 108 )²

= 1.8 * 10¹⁴ J

Potential Energy = m g h = 1.8 * 10¹⁴

1.8 * 10¹⁴ = m * 9.8 * 1000

m = 1.84 * 10¹⁰ kg