If you could magically replace the Sun with a giant rock that has precisely the same mass earth's orbit would not change?

Answer 1

Correct

Answer 2

Earth’s orbit around the Sun is determined by the Sun’s gravitational pull, so replacing the Sun with a rock of equal mass would maintain Earth’s orbit due to the same level of gravitational attraction. However, without the Sun’s heat and light, Earth would likely become a frozen, inhospitable world unable to sustain life.