Final answer:
The ratio of the gravitational force that the Sun exerts to you compared with the Moon's can be found by using Newton's law of universal gravitation. The formula for gravitational force is F = G * (m1 * m2) / r^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the centers of the two objects. By plugging in the given values for the Sun and the Moon, you can calculate their respective gravitational forces and find the ratio.
Step-by-step explanation:
The ratio of the gravitational force that the Sun exerts on you compared with the Moon can be determined using Newton's law of universal gravitation. The formula for the gravitational force is F = G * (m1 * m2) / r^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the centers of the two objects.
The gravitational force exerted by the Sun can be calculated by using the Sun's mass and the distance between the Sun and you, while the gravitational force exerted by the Moon can be calculated using the Moon's mass and the distance between the Moon and you. By dividing the gravitational force exerted by the Sun by the gravitational force exerted by the Moon, you can find the ratio of the two forces.
To calculate the gravitational force exerted by the Sun, use the formula: F_sun = G * (m_sun * m_you) / r^2. Plug in the values: m_sun = 1.989 x 10^30 kg, m_you = your mass (approximately 70 kg), and r = the distance between the Sun and you (149.6 million km or 149.6 x 10^6 km). To calculate the gravitational force exerted by the Moon, use the formula: F_moon = G * (m_moon * m_you) / r^2. Plug in the values: m_moon = 7.35 x 10^22 kg and r = the distance between the Moon and you (384,400 km or 384.4 x 10^3 km).
Finally, divide F_sun by F_moon to find the ratio of the two forces: ratio = F_sun / F_moon.