The mass of planet Jupiter is `1.9xx10^(7)kg` and that of the Sun is `1.9x10^(30)kg`. The mean distance of Jupiter from the Sun is `7.8xx10^(11)`m. Calculate te gravitational force which Sun exerts on Jupiter. Assuming that Jupiter moves in circular orbit around the Sun, also calculate the speed of Jupiter `G=6.67xx10^(-11)Nm^(2)kg^(-2)`.

Explanation

`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)`.