1. Using the mass of the Earth the radius of the Earth above, estimate the gravitational field strength at the surface of the Earth. You should already know the answer before you do this question ? ( calculation reveals...about 9.8 N/kg...that amazing!) 2. What is the gravitational field strength 850 km above the Earth surface (7.6 N/kg) 3. If a person weighs 780 N on Earth. a. What is their mass on Earth (79.5 kg) b. What is their mass on the Moon (79.5 kg) c. What is their weight on the surface of the moon calculate g for moon (129 N) d. What is their mass in deep outer space? (79.5kg) e. What is their weight in deep outer space and why (zero) (Because they are not under the influence of a gravitational field from a big planet or star ) 4. The instrument payload of a rocket weighs 890 N on Earth. What does it weigh at an altitude of 25520 km above the surface of the Earth? (35.3 N) 5. Calculate the acceleration due to gravity on Saturn. How much will a 60 kg man weigh on the surface of Saturn? (10.4 m/s², 624 N)
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67 \times 10^{-11} \, \text{m}^3/\text{kg}\cdot\text{s}^2 \), \( M = 6 \times 10^{24} \, \text{kg} \), and \( R = 6.4 \times 10^6 \, \text{m} \). Show more…
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What is the gravitational field strength on the surface of the Earth? (G = 6.67 × 10−11 N m2/kg2, the mass of the Earth is 5.98 × 1024 kg, and the radius of the Earth is 6.38 × 106 m.)
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Weight $W$ is the force on an object due to the pull of gravity. On Earth, this force is given by Newton's Law of Universal Gravitation: $W=\frac{G m M}{r^{2}},$ where $m$ is the mass of the object, $M=5.974 \times 10^{24} \mathrm{~kg}$ is the mass of Earth, $r$ is the distance of the object from the center of the Earth, and $G=6.67 \times 10^{-11} \mathrm{~m}^{3} /\left(\mathrm{kg} \cdot \mathrm{s}^{2}\right)$ is the universal gravitational constant. Suppose a person weighs $70 \mathrm{~kg}$ at sea level, that is, when $r=6370 \mathrm{~km}$ (the radius of Earth). Use differentials to approximate the person's weight at the top of Mount Everest, which is $8.8 \mathrm{~km}$ above sea level.
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