Final answer:
The gravitational field intensity at Jupiter's surface is calculated using Newton's Universal Law of Gravitation formula with the known values of Jupiter's mass and radius. The weight of an 80 kg body on Jupiter's surface is found by multiplying 80 kg by the surface gravitational field intensity. The gravitational field intensity at a greater distance can be found using the same formula adjusted for the larger radius.
Step-by-step explanation:
To calculate the gravitational field intensity (g) at Jupiter's surface, we use Newton's Universal Law of Gravitation formula: g = G * M / r^2, where G is the gravitational constant (6.674 x 10^{-11} N m^2/kg^2), M is the mass of Jupiter, and r is the radius of Jupiter. The student's question contains typos, so assuming the accepted values of Jupiter's mass (1.898 x 10^{27} kg) and its radius (71492 km), the gravitational field intensity can be calculated. At the surface, g = (6.674 x 10^{-11}) * (1.898 x 10^{27}) / (71492 x 10^3)^2 m/s^2. The weight of a 80 kg body on Jupiter's surface can be found by multiplying the body's mass by Jupiter's surface gravity (W = m * g). The gravitational field intensity at 142 x 10^{10} m from Jupiter's center can be calculated similarly but with the increased distance in the formula.
To find the weight of the 80 kg body at Jupiter's surface, we would substitute the surface gravity of Jupiter into the weight formula: W = m * g, where m is 80 kg and g is the surface gravity calculated previously.