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Physics

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25.2 m/s2\text{25.2 m/s}^2

g=(6.674×10−11 N m2/kg2)×(1.9×1027 kg)(7.1×107 m)2g = \frac{(6.674 \times 10^{-11} \text{ N m}^2/\text{kg}^2) \times (1.9 \times 10^{27} \text{ kg})}{(7.1 \times 10^{7} \text{ m})^2} g=12.6806×1016 N m2/kg50.41×1014 m2g = \frac{12.6806 \times 10^{16} \text{ N m}^2/\text{kg}}{50.41 \times 10^{14} \text{ m}^2} g=12.680650.41×1016−14 N/kgg = \frac{12.6806}{50.41} \times 10^{16-14} \text{ N/kg} g≈0.25154×102 m/s2g \approx 0.25154 \times 10^{2} \text{ m/s}^2 g≈25.154 m/s2g \approx 25.154 \text{ m/s}^2

Rounding to three significant figures:

g≈25.2 m/s2g \approx 25.2 \text{ m/s}^2

The acceleration due to gravity on the surface of Jupiter is approximately 25.2 m/s2\boxed{\text{25.2 m/s}^2}.

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