A man on the moon with a mass of 90 kilograms weighs 146 newtons. The radius of the moon is 1.74 × 106 meters. Find the mass of the moon.

The formula is [latex]F=k\frac{mm_0}{r^2}[/latex], where k is the universal constant of gravity, m the mass of the moon, [latex]m_0[/latex] that of the man and r the radius of the moon. Solve for m.