A mass of 0.246 kg is converted completely into energy of other forms.
How much energy of other forms is produced? The speed of light is 2.99792 × 108 m/s.
Answer in units of J.
To find the energy produced from the conversion of mass, we can use Einstein's famous equation: E = mc^2, where E is the energy, m is the mass, and c is the speed of light.
Given:
Mass (m) = 0.246 kg
Speed of light (c) = 2.99792 × 10^8 m/s
Now we can plug in these values into the equation to calculate the energy produced:
E = (0.246 kg) x (2.99792 × 10^8 m/s)^2
First, square the speed of light:
E = (0.246 kg) x (8.98755 x 10^16 m^2/s^2)
Multiply the mass by the squared speed of light:
E = 2.21942 x 10^16 kg m^2/s^2
The unit of energy is joules (J), so we can rewrite the result in scientific notation with the appropriate units:
E = 2.21942 x 10^16 J
Therefore, the energy produced from the conversion of 0.246 kg of mass is approximately 2.21942 x 10^16 joules (J).