What is the weight of a 10.0 kg object situated at the top of mount everest, 8848 meters above earths surface? Given: radius of earth 6380 km. mass of earth = 5.98x10^24 kg.
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1.What is the weight of a 10.0 kg object situated at the top of mount everest, 8848 meters above earths surface?
Given: radius of earth 6380 km. mass of earth = 5.98x10^24 kg.
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- (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.3. The gravitational acceleration at Earth's surface (ga) is about 10 m/s? and ge = GM/R2. What is g, at the surface of a planet with 2X Earth's mass and 3X Earth's radius?1) On the surface of Venus, which has a mass of 4.869×1024 kg, an object has a weight of 213 N and a mass of 24 kg. What is the radius of Venus? G=6.674×10-11N.m2/kg2.2) What is the gravitational field (in N/kg) 1.400×105 km above the surface of the sun? Radius of the sun= 6.960×105 km, mass of the sun= 1.989×1030 kg, G= 6.674×10-11 N.m2/kg2. 3) Two spherical balls are placed so their centers are 74 m apart. The gravitational attraction between them is 2.362×10-7 N. If the mass of the smaller ball is 3800 kg, find the mass of the other ball.G= 6.674×10-11 N·m2/kg2.
- A 4.4 kg mass weighs 35.64 N on the surfaceof a planet similar to Earth. The radius ofthis planet is roughly 6 × 10^6 m.Calculate the mass of of this planet. Thevalue of the universal gravitational constantis 6.67259 × 10^−11 N · m^2/kg^2.Answer in units of kg. Calculate the average density of this planet.Answer in units of kg/m^3.Assume the earth's mass is 1.392 x 1025 kg, and radius is 92.2 x 103 miles, what would be the gravitational acceleration on such an planet in unit of m/s2? Use G=6.67x 10 -11 Nm2/kg2.1. On the surface of Venus, which has a mass of 4.869×1024 kg, an object has a weight of 213 N and a mass of 24 kg. What is the radius of Venus? G = 6.674×10–11 N·m2/kg2. 2. What is the gravitational field (in N/kg) 1.400×105 km above the surface of the Sun? Radius of the Sun = 6.960×105 km, mass of the Sun = 1.989×1030 kg, G = 6.674×10–11 N·m2/kg2. 3. Two spherical balls are placed so their centers are 74 m apart. The gravitational attraction between them is 2.362×10–7 N. If the mass of the smaller ball is 3800 kg, find the mass of the other ball. G = 6.674×10–11 N·m2/kg2.
- A woman whose mass is 70 kg on Earth's surface is in a spacecraft at a height of twice Earth's radius (that is, 3 Earth radii) above Earth's surface. What is her mass (not weight) there? BIU S S.17. Determine the gravitational force of attraction between the Earth and Jupiter given the mass of the earth is 6 x 10^24 kg, the mass of Jupiter is 1.9 x 10^27 kg and when closest, the average distance is about 5.88 x 10^11 m. Use scientific notation for final result. Use G= 6.7 x 10^-11 N-m^2/kg^2.7. On Earth, a 58 kg astronaut weighs 568.4 Newtons. What would she weigh if she landed on Jupiter's moon Io? What fraction is this of her weight on Earth? Hint: Recall that the weight of an object is equal to the gravitational force acting on it. Io has a mass of 8.9 × 10^22 kg and a radius of 1822 km.
- 4. Compute the differential tidal force AF exerted on the Earth by Mars when it's at opposition. Express your result as a numerical fraction of the differential tidal force exerted by the Moon, 2GMMoonm RO where ro = 384,000km = 0.00257AU is the Earth-Moon distance and MMoon = 7.2 x 1022kg is the mass of the Moon. Repeat to find the differential tidal force AF exerted by Jupiter at opposition, also expressed as a fraction of AEMaen. (Assume that the Moon, Earth, Mars, and Jupiter are on circular coplanar orbits.)8. The International Space Station is in orbit about 408 km above the surface of Earth. Calculate how many minutes it would take for the ISS to complete one orbit. (re = 6.38 × 10*m, M== 5.98 × 1024 kg)1. The mass of the moon is 7.34767309 x 1022kg. The moon has a radius of 1,737.1 km. Given the Universal Gravitational constant of G = 6.67 x 10-11 Nm²/kg². a. Calculate the acceleration due to gravity of the moon. b. The mass of a space shuttle is 2.18 x 106 kg and orbits the moon at 175 km. What is the Force between the moon and the space shuttle?
