Answer to Question #281715 in Physics for Kathy

Question #281715

Calculate the force exerted by mars on its moon Phobos and the force exerted by Phobos on mars . The mass of mars is 6.4 x 1023 kg and the mass of Phobos is 1.06 x 1016kg. The distance between bars and the Phobos centers of mass is 9.38 x 106 m


1
Expert's answer
2021-12-21T12:16:12-0500

Let's find the magnitudes of the force exerted by Mars on its moon Phobos and the force exerted by the Phobos on the Mars:


"F_{MP}=F_{PM}=\\dfrac{GM_MM_P}{d^2},""F_{MP}=F_{PM}=\\dfrac{6.67\\times10^{-11}\\ \\dfrac{N\\times m^2}{kg^2}\\times6.4\\times10^{23}\\ kg\\times1.06\\times10^{16}\\ kg}{(9.38\\times10^6\\ m)^2},""F_{MP}=F_{PM}=5.14\\times10^{15}\\ N."

The Phobos will exert an equal and opposite force on the Mars.


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