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| 183_notes:examples:calcgravforce [2014/07/22 04:36] – pwirving | 183_notes:examples:calcgravforce [2018/02/09 18:33] (current) – [Solution] hallstein |
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| $$ = -G\dfrac{{m}_M{m}_E}{|\vec{r}_{M-E}|^2}\hat{r}_{M-E}$$ Input all the values identified for the various variables. | $$ = -G\dfrac{{m}_M{m}_E}{|\vec{r}_{M-E}|^2}\hat{r}_{M-E}$$ Input all the values identified for the various variables. |
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| $$ = (6.7 \times 10^{-11} Nm^2/kg^2)\dfrac{(7.3 \times 10^{22} kg)(5.9 \times 10^{24} kg)}{(2.7 \times 10^8 m)}\langle -0.7,0,+0.7 \rangle$$ | $$ = (6.7 \times 10^{-11} Nm^2/kg^2)\dfrac{(7.3 \times 10^{22} kg)(5.9 \times 10^{24} kg)}{(2.7 \times 10^8 m)^2}\langle -0.7,0,+0.7 \rangle$$ |
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| Results in the magnitude of the force by unit vector (direction). | Results in the magnitude of the force by unit vector (direction). |
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| $$ = 1.0 \times 10^{29}N \langle -0.7,0,+0.7 \rangle$$ | $$ = 4.0 \times 10^{20}N \langle -0.7,0,+0.7 \rangle$$ |
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| Results in the vector force, with the x,y,z components interpretable. | Results in the vector force, with the x,y,z components interpretable. |
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| $$ = \langle -7.0 \times 10^{28}, 0, 7.0 \times 10^{28} \rangle N $$ | $$ = \langle -2.8 \times 10^{20}, 0, 2.8 \times 10^{20} \rangle N $$ |