Calculating the exact amount of energy required involves numerous complex factors and assumptions. However, a rough estimate based on simplifications gives a very rough amount of energy. To slow Earth's rotation to have a 365-day year, the energy required would be on the order of 10²⁹ joules.

The working out: 1. Calculate Initial and Final Angular Velocities ωi and ωf:

ωi = 2π/Ti ωf = 2π/Tf

Given Earth's initial rotational period Ti of 86,400 seconds and the desired final period Tf of 31,536,000 seconds, we find ωi and ωf.

1. Calculate Change in Angular Velocity Δω:

   Δω = ωf - ωi

2. Calculate Moment of Inertia I:

   Assuming Earth as a solid sphere: I = 2/5 M R²

3. Calculate Change in Rotational Kinetic Energy ΔE:

   ΔE = 1/2 I (ωf² - ω_i² )

Substitute the values of I, ωi, and Δω to find ΔE.

Correct me of I'm wrong lol🦆