Answer:
5.16×10¹⁵ s
Explanation:
Considering the rotational motion of the Earth,
K.E. = [tex]\frac{1}{2}I[/tex]ω² where, I = [tex]\frac{2}{5}[/tex]MR²
= [tex]\frac{2}{5}[/tex]MR²ω² ---------(1) where ω = angular velocity of Earth
To find ω,
ω = 2π/T where T = time period of Earth
= 2π/(60×60×24) = 7.27×10^-5 rad/s
Substituting the values in (1),
K.E. = 0.4×(6×10^24)×(6400000)²×(7.27×10^-5)²
= 5.16×10²⁹ J
To calculate possible time,
Time = Energy/ Power
= 5.16×10²⁹ / 10¹⁴
= 5.16×10¹⁵ s
