Neptune's largest moon Triton has an orbit with a semimajor axis of 3.55 x 10° km. Considering that the mass of Neptune is 1.02 x 1026 kg, calculate the orbital period of Triton around Neptune, giving your answer in days.
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- Assume the earth's mass is 80.004 x 1025 kg, and radius is 35.532 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.An asteroid has a mass of 3.66 × 10kg and a radius of 8.2 × 10m. If a 25 kg mass is dropped from 10 m above the “ground” of the asteroid, how long will it take the mass to fall to the ground?Every few months, memes circulate claiming that certain alignments of the planets with the Earth will result in a change in the gravitational force you feel. Usually these memes state that the alignment will counteract Earth's gravity slightly so you will feel less of a gravitational pull towards the Earth. Can this ever happen? Let's look at the numbers. What is the gravitational force (in N) of the Earth on you (MĚ = 5.97 × 1024 kg, R₁ = 6380 km)? Say your mass is 64 kg. (Enter the magnitude.) What is the gravitational force (in N) of Jupiter on you when it is closest to Earth (M₁ = 1.90 × 1027 kg, R₁ = 5.88 × 108 km)? (Enter the magnitude.) By what factor would the mass of Jupiter need to increase to be equal to the gravitational force you feel from the Earth? Part 1 of 5 The gravitational force between two masses is given by -GMm r² where G = 6.67 x 10-11 m³/s²/kg. FgE Part 2 of 5 We can use this expression to determine the magnitude of the gravitational force you feel while on the…
- A landing craft with mass M is in a circular orbit a distance d above the surface of a planet. The period ofthe orbit is T. The astronauts in the landing craft measure the diameter of the planet to be D. The landing craft sets down at the north pole of the planet. a)What is the weight of a person of mass m as they step out onto the plant’s surface? b)Suppose days on this planet last t seconds (i.e. the planet rotates about its axis once every t seconds).Write an expression for the astronaut’s perceived weight at the equator in terms of their weight at the north pole. (Hint: think about centripetal force)The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a circular orbit. If the orbital radius of Rom is 2.5×1011 m … Note: G = 6.67⨯10-11 N·m2/kg2 i) What is the gravitational force of Rom on Galla?The International Space Station (ISS) is a space station orbiting the earth above the ground. If the radius of the earth is 3,958.8 miles, mass of earth is 5.972 x 10 24 kg, the period of the ISS at the orbit around the earth is 14.137 hours, can you calculate what is the distance from the ISS to the surface of the earth, in unit of miles? Use G=6.674 x 10 -11 Nm2/kg2. Write your answer in pure numbers, for example, 4567.8. Please keep at least on digit after the decimal point.
- On a planet whose radius is 1.80 × 104 km, the acceleration due to gravity is 16.5 m/s?. What is the mass of the planet?Suppose an asteroid named Sparty has been discovered revolving around the Sun on a circular orbit with radius rs. Calculate the period of Sparty's orbit, in years. DATA for the orbit radii: Earth re 1.50×10¹¹ m; = Sparty rs = 2.75×1011 m; A: 2.482 B: 2.805 C: 3.170 D: 3.582 E: 4.047 OF: 4.574 G: 5.168 H: 5.840 Submit Answer Tries 0/99Satellite 1 has a mass m_1m1 and is located a distance r_1r1 away from the center of its host planet. Satellite 2 has half the mass as Satellite 1, but is located four-times the distance from the center of the host planet as Satellite 1. Determine the ratio of the magnitudes of the force of gravity between Satellite 1 and the planet to the force of gravity between Satellite 2 and the planet Ratio = Fplanet-on-1/ Fplanet-on-2
- Scientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).Scientists have discovered a distant planet with a mass of 6.5x1023 kg. The planet has a small moon that orbits with a period of 5 hours and 15 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).The International Space Station (ISS) is a space station orbiting the earth above the ground. If the radius of the earth is 3,958.8 miles, mass of earth is 5.972 x 10 24 kg, the period of the ISS at the orbit around the earth is 7.89 hours, can you calculate what is the distance from the ISS to the surface of the earth, in unit of miles? Use G-6.674 x 10-11 Nm2/kg2. Write your answer in pure numbers, for example, 4567.8. Please keep at least on digit after the decimal point.