Question

Calculate
Fg = (6.67×10^-11Nm^2/kg^2) (6×10^24 kg) (60kg)/6400 km​

Answer 1

Answer:

$\frac{ 6.67 \times {10}^{ - 11} \times 6 \times {10}^{24} \times 60 ) }{( {6400 \times 1000)}^{2} }$

6400km converting into m=6400×1000m

$\frac{6.67 \times 6 \times 60 \times {10}^{24 - 10}}{40960000 \times 1000000} \\ \frac{6.67 \times 6 \times 60 \times {10}^{13} }{4.096 \times {10}^{13} } \\ \frac{6.67 \times 6 \times 60 \times {10}^{13 - 13} }{4.096} \\ \frac{6.67 \times 6 \times 60}{4.096} \\ \frac{2401.2}{4.096} \\ 586.23$

Hence $F_g$=586.23m/s².

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Answer 2

Answer:

6400km converting into m=6400×1000m

\begin{gathered} \frac{6.67 \times 6 \times 60 \times {10}^{24 - 10}}{40960000 \times 1000000} \\ \frac{6.67 \times 6 \times 60 \times {10}^{13} }{4.096 \times {10}^{13} } \\ \frac{6.67 \times 6 \times 60 \times {10}^{13 - 13} }{4.096} \\ \frac{6.67 \times 6 \times 60}{4.096} \\ \frac{2401.2}{4.096} \\ 586.23\end{gathered}

40960000×1000000

6.67×6×60×10

24−10

4.096×10

13

6.67×6×60×10

13

4.096

6.67×6×60×10

13−13

4.096

6.67×6×60

4.096

2401.2

586.23

Hence F_gF

g

=586.23m/s².