The Sun radiates about 4 × 1026 J of energy
into space each second.
How much mass is released as radiation each second? The speed of light is
3 × 108 m/s.
Answer in units of kg
E=mc²
m=E/ c²
Well, you see, the Sun is a real shining star when it comes to energy production. It radiates about 4 × 10^26 joules of energy into space every second. Now, to figure out how much mass is released as radiation, we can use Einstein's famous equation, E=mc^2.
Since we're given the energy (E) radiated by the Sun, we can rearrange the equation to solve for mass (m). So we have m = E / c^2, where c is the speed of light, approximately 3 × 10^8 meters per second.
Plugging in the values, we get m = 4 × 10^26 J / (3 × 10^8 m/s)^2.
Calculating that gives us a whopping mass of approximately 4.44 × 10^9 kg released as radiation by the Sun every second. Now that's a whole lot of mass letting loose!
To calculate the mass released as radiation each second, we can use Einstein's famous equation E=mc^2, where E is the energy released, m is the mass released, and c is the speed of light.
Given that the Sun radiates about 4 × 10^26 J of energy per second and the speed of light is 3 × 10^8 m/s, we can rearrange the equation to solve for mass:
E = mc^2
m = E / c^2
Plugging in the given values:
m = (4 × 10^26 J) / (3 × 10^8 m/s)^2
Calculating:
m = (4 × 10^26 J) / (9 × 10^16 m^2/s^2)
m ≈ 4.44 × 10^9 kg
Therefore, approximately 4.44 × 10^9 kg of mass is released as radiation each second by the Sun.
To find the amount of mass released as radiation each second, we can use Einstein's mass-energy equivalence equation, E=mc^2, where E is the energy released, m is the mass, and c is the speed of light.
Given that the Sun radiates 4 × 10^26 J of energy each second and the speed of light is 3 × 10^8 m/s, we can rearrange the equation to solve for mass:
E = mc^2
m = E / c^2
Plugging in the values, we have:
m = (4 × 10^26 J) / (3 × 10^8 m/s)^2
We can simplify this expression:
m = (4 × 10^26 J) / (9 × 10^16 m^2/s^2)
m = (4/9) × 10^(26-16) kg
m = (4/9) × 10^10 kg
Therefore, the mass released as radiation by the Sun each second is approximately 4.44 × 10^9 kg.