The mass of planet Jupiter is 1.9xx10^(27)kg and that of the sun is 1.99xx10^(30)kg. The mean distance of Jupiter from the Sun is 7.8xx10^(11)m. Calculate gravitational force which sun exerts on Jupiter, and the speed of Jupiter.

The mass of planet Jupiter is 1.9xx10^(27)kg and that of the sun is 1.

1.	The mass of planet Jupiter is 1.9xx10^(27)kg and that of the sun is 1.99xx10^(30)kg. The mean distance of Jupiter from the Sun is 7.8xx10^(11)m. Calculate gravitational force which sun exerts on Jupiter, and the speed of Jupiter.
Answer» Solution :`F=(GMM)/(R^2)` `=(6.67xx10^(-11)xx1.99xx10^(30)xx1.9xx10^(27))/((7.8xx10^(11))^2)` `F=4.1xx10^(23)N` `F= (mv^(2))/(r )` `V= sqrt((Fr)/(m))= sqrt((GMm)/(r^2)xx (r )/(m))` `v= sqrt((Gm)/(r ))= sqrt((6.67xx10^(-11)xx1.9xx10^(30))/(7.8xx10^(11))` `v= 1.3xx10^(4)ms^(-1)`.