A metroid entering Earth's atmosphere has a speed of 70.0 km/s and a kinetic energry of 2.56 X 10^15 J. What is the mass of the meteroid?
To find the mass of the meteoroid, we can use the formula for kinetic energy:
Kinetic Energy = (1/2) * mass * velocity^2
Given that the speed of the meteoroid is 70.0 km/s and the kinetic energy is 2.56 x 10^15 J, we can substitute these values into the equation:
2.56 x 10^15 J = (1/2) * mass * (70.0 km/s)^2
To solve for the mass, we need to rearrange the equation:
mass = (2 * kinetic energy) / (velocity^2)
Now we can substitute the given values and calculate the mass:
mass = (2 * 2.56 x 10^15 J) / (70.0 km/s)^2
To convert km/s to m/s, we need to multiply by 1000 since there are 1000 meters in a kilometer:
mass = (2 * 2.56 x 10^15 J) / ((70.0 km/s * 1000)^2)
Calculating this value, we find:
mass ≈ 797,959,183.67 kg
Therefore, the mass of the meteoroid is approximately 797,959,183.67 kg.