Answer:
253 years
Explanation:
a = Distance in Astronomical units from the sun = 40 AU
P = Orbital period in years
From Kepler's law we have
[tex]P^2=a^3[/tex]
[tex]\Rightarrow P^2=40^3[/tex]
[tex]\Rightarrow P^2=64000[/tex]
[tex]\Rightarrow P=\sqrt{64000}[/tex]
[tex]\Rightarrow P=252.982212813[/tex]
[tex]\Rightarrow P\approx 253\ years[/tex]
The orbital period of the Kuiper belt object is 253 years.
