9 Infer The weight of an object on a planet depends not only on its mass, but also on its distance from the planet's center. This table lists the weight of 80 kg on each planet in the solar system. Uranus has more than 14 times as much mass as Earth.yet the gravitational force is less. Explain how this could be.

The weight of an object on a planet is determined by the gravitational force exerted on it, which depends on two main factors: the mass of the planet and the distance from the planet's center (specifically, the radius of the planet if the object is on its surface).<br /><br />The gravitational force \( F \) can be calculated using Newton's law of universal gravitation:<br /><br />\[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \]<br /><br />where:<br />- \( G \) is the gravitational constant,<br />- \( m_1 \) is the mass of the planet,<br />- \( m_2 \) is the mass of the object,<br />- \( r \) is the distance from the center of the planet to the object.<br /><br />In the case of Uranus, although it has more than 14 times the mass of Earth, its gravitational force is less due to its larger radius. The gravitational force decreases with the square of the distance from the center of the planet. Uranus has a significantly larger radius compared to Earth, which means that the distance \( r \) in the equation is much greater for Uranus. This larger distance reduces the gravitational force experienced by an object on its surface.<br /><br />Therefore, even though Uranus has a much greater mass, the effect of its larger radius results in a weaker gravitational pull on objects at its surface compared to Earth. This explains why the weight of an object on Uranus is less than what might be expected based solely on its mass.