The mass of the Sun is 2×1030 kg. Earth’s average orbital radius is 1.52×1011 m. a. Use the orbit equation to calculate Earth’s average orbital velocity.

b. Suppose Earth increased its velocity by 50%. Calculate the new radius of the planet’s orbit.

c. Compare your answer to Part b with Venus’s orbital radius of 1.08×1011 m. Given that Venus has a surface temperature hot enough to melt lead, speculate on the possibility for life if Earth had this orbital velocity.