If the force of gravity exerted by Earth on a fully suited astronaut at Earth's surface is \(1960 \mathrm{~N}\), what is the magnitude of the gravitational force exerted on her \((a)\) on Jupiter, where the acceleration due to gravity is \(25.9 \mathrm{~m} / \mathrm{s}^{2}\), and \((b)\) on the Moon, where the acceleration due to gravity is \(1.6 \mathrm{~m} / \mathrm{s}^{2}\) ?