Question

Use the formula to approximate the speed of light, given that the energy contained in a 1kg object is 9 X 10^16 J

Answer 1

Answer:

$c = 3\times 10^{8}\ m/s$

Step-by-step explanation:

According to the theory of mass-energy equivalence:-

$Energy=mass\times c^2$

Where, c is the speed of the light

Given that, Mass = 1 kg

Energy = $9\times 10^{16}\ J$

So, applying in the above equation as:-

$Energy=mass\times c^2$

$9\times 10^{16}\ J=1\ kg\times c^2$

Solving, we get that:-

$c = 3\times 10^{8}\ m/s$