Calculate the acceleration of earth to meet a 1500-kg object. The mass of the Earth is 5.97 X 10²⁴ kg and the radius of Earth is 6.38 x 10⁶ m.
F=GMmr2=6.67⋅10−11⋅5.97⋅1024⋅1500(6.38⋅106)2=14674 (N)F=G\frac{Mm}{r^2}=6.67\cdot10^{-11}\cdot\frac{5.97\cdot10^{24}\cdot1500}{(6.38\cdot10^6)^2}=14674\ (N)F=Gr2Mm=6.67⋅10−11⋅(6.38⋅106)25.97⋅1024⋅1500=14674 (N)
aEarth=F/M=146745.97⋅1024=2.5⋅10−21 (m/s2)a_{Earth}=F/M=\frac{14674}{5.97\cdot10^{24}}=2.5\cdot10^{-21} \ (m/s^2)aEarth=F/M=5.97⋅102414674=2.5⋅10−21 (m/s2) . Answer
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