Answer:
The formula you provided is for kinetic energy (KE), which is the energy an object possesses due to its motion. The formula states that the kinetic energy of an object is equal to half its mass (m) multiplied by the square of its velocity (v).
Using this formula, we can calculate the kinetic energy of both objects:
For the 1 kg object going 1000 m/s: KE = 0.5 * 1 kg * (1000 m/s)^2 = 500000 J
For the 1000 kg object going 25 m/s: KE = 0.5 * 1000 kg * (25 m/s)^2 = 312500 J
So, according to these calculations, the 1 kg object going at a speed of 1000 m/s has more kinetic energy than the 1000 kg object going at a speed of 25 m/s.
This is because kinetic energy depends on both mass and velocity, but velocity has a greater impact on kinetic energy since it is squared in the formula. So even though the second object has a much larger mass, its lower velocity results in less kinetic energy overall.