Ah hah ! I spy a question about E = m c² .
OK, here we go. Fossen your seat belt, mon,
it's going to be eh boompy rade !
E = energy equivalent of mass
m = the mass of the mass
c = the speed of light
E = (m) (c)²
= (100 mg) (3 x 10⁸ m/s)²
= (1 x 10⁻⁴ kg) (9 x 10¹⁶ m²/s²)
= 9 x 10¹² (kg-m²/s²)
= 9 x 10¹² (kg-m/s²) (m)
= 9 x 10¹² (newton) (m)
= 9 x 10¹² joules .
The car can go 30 km on 10⁸ J of energy.
How far can it go on 9 x 10¹² J ?
(9 x 10¹² J) x (30 km / 10⁸J)
= (9 x 10⁴) x (30 km) = 2,700,000 km
= roughly 7.3 times the distance to the moon.
