Final answer:
Weight on Jupiter is calculated using Newton's Law of Gravity, which depends on Jupiter's mass and radius. Someone weighing 70 kg on Earth would weigh significantly more on Jupiter due to its stronger gravity; approximately 2.4 times more, assuming Jupiter had a solid surface.
Step-by-step explanation:
When considering how much someone would weigh on Jupiter, we need to apply the principles of physics, specifically Newton's Law of Gravity. The force of gravity on an object is given by the formula F = GM₁M₂/R², where F is the force due to gravity, G is the universal gravitational constant, M₁ is the mass of one object (such as a person), M₂ is the mass of another object (in this case, Jupiter), and R is the radius of the larger object (Jupiter).
The mass of Jupiter is roughly 1.9 × 10²⁷ kg, and to find the gravitational force (weight) on Jupiter, we would need the radius of Jupiter. Given Jupiter's mass and the fact that one Earth mass is approximately 5.972 × 10²⁴ kg, we can understand Jupiter's gravity is significantly stronger than Earth's. Therefore, if someone weighs 70 kg on Earth, they would weigh more on Jupiter.
To calculate it exactly, we would need Jupiter's radius and the value of the gravitational constant. However, because Jupiter's gravity is stronger and the person's mass does not change, their weight would increase significantly. For instance, Jupiter's surface gravity is about 2.4 times that of Earth, so a 70 kg individual would weigh roughly 168 kg (if Jupiter had a solid surface to stand on, which it does not).
It is worth noting that because Jupiter does not have a solid surface, if a person were to "stand" on Jupiter, they would actually be undergoing more complex atmospheric and pressure variations rather than simply weighing more on a scale as they would on a solid surface like Earth.