Final answer:
The moment of inertia of the neutron star is 7 x 10^30 kg m^2.
Step-by-step explanation:
The moment of inertia of a rotating object can be calculated using the formula:
I = (2/5) * m * r^2
where I is the moment of inertia, m is the mass, and r is the radius of the object.
In this case, the mass of the neutron star is given as 3.5 x 10^30 kg and the radius as 5 km (or 5 x 10^3 m).
Substituting these values into the formula, we have:
I = (2/5) * (3.5 x 10^30 kg) * (5 x 10^3 m)^2
Which simplifies to:
I = 7 x 10^30 kg m^2