- $4.6\times 10^{-14}\textrm{ m/s}^2$
- $9.2\times 10^{-10}\textrm{ m/s}^2$

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This is College Physics Answers with Shaun Dychko. The acceleration due to gravity on the surface of Neptune due to Pluto is going to be the gravitational constant multiplied by the mass of Pluto divided by the distance between Neptune and Pluto squared. So that's 6.673 times 10 to the minus 11 newton meters squared per kilogram squared times the mass of the Pluto divided by the Neptune-Pluto distance squared which is 4.6 times 10 to the minus 14 meters per second squared— that's a very small number. And the acceleration due to gravity on Neptune surface due to Uranus is this gravitational constant times the mass of Uranus divided by the Neptune-Uranus distance squared that gives 9.2 times 10 to the minus 10 meters per second squared. So we see that to put this acceleration due to gravity due to Pluto in context we can compare it with that due to Uranus and we see that the acceleration due to Uranus is 20,000 times greater than that due to Pluto.