Final answer:
The gravitational force between Jupiter and Earth is calculated using Newton's universal law of gravitation. The weight of a 60 kg body on Earth and on Jupiter is found using the mass of the body and the acceleration due to gravity on each planet, which depends on the mass and radius of the planet.
Step-by-step explanation:
To calculate the gravitational force between Jupiter and Earth, we can use Newton's universal law of gravitation, which states that the gravitational force (F) between two masses (m1 and m2) is equal to the product of their masses, multiplied by the gravitational constant (G), and divided by the square of the distance (r) between their centers:
F = G * (m1 * m2) / r^2
Given that the mass of Jupiter (m1) is 1.9 x 10^27 kg, the mass of Earth (m2) is 6 x 10^24 kg, and the distance between them is 7.406 x 10^11 m, we can calculate the gravitational force.
To calculate the weight of a 60 kg body on Earth (w1) and on Jupiter (w2), we use the equation: w = m * g, where m is the mass of the body and g is the acceleration due to gravity on that planet.
The acceleration due to gravity can be found using the formula: g = G * (M / r^2), where M is the mass of the planet and r is its radius. Thus, on Earth (g1 = 9.8 m/s^2) and on Jupiter (using its mass and radius to find g2), we can find the respective weights w1 and w2.