What is the approximate escape speed in m/s from a tiny moon in orbit about Mars that has a mass of 0.97 x 1016 kg and a radius of 10.0 km. The gravitational constant is 6.67 x 10-11m3kg-1s-

Q: A satellite of mass m=4,790 kg orbits Earth (ME=5.98x10^24 kg, RE=6.4x10^6 m) at a velocity…

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Q: A satellite is placed in orbit 8.10 x 10 m above the surface of Jupiter. Jupiter has a mass of 1.90…

A: Given  Height of satellite h = 8.1 × 105 m  Mass of Jupiter M = 1.9 × 1027 Kg  Radius of Jupiter R…

Q: If Martians want to launch a geostationary satellite (more accurately, "Aerostationary") to study…

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Q: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant…

A: Given data:  v= 1.1 X 104 m/s M= 6.04 X 1024 m/s m= 1.2 X 103 kg The radius of orbit R and Universal…

Q: A submarine of mass 200 kg is sent into a newly discovered "liquid" planet , i.e. the planet is a…

A: Given:    Mass of submarine M1 = 200 kg    Mass of planet M2 = 8 x 1024 kg    Radius of planet (R)…

Q: A 1500 kg satellite is in orbit around the Moon at a distance of 3 Moon radii above the surface of…

A: Mass of the moon, m1=7.35×1022 kg Mass of the satellite, m2=1500 kg The radius of the Moon,…

Q: What is the gravitational potential energy of the moon with respect to the earth? The mass of the…

A: GivenMass of moon, m=7.35×1022 kgMass of earth, M=5.98×1024 kgdistance between them, r=384400 km…

Q: In fact, the actual orbit that the GS entered was slightly elliptical, with its closest approach to…

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Q: Scientists want to place a 3 x 10³ kg satellite in orbit around Mars. They plan to have the…

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Q: You are a scientist exploring a mysterious planet. You have performed measurements and know the…

A: Given information:Radius of the planet (R) = dFree fall acceleration of the planet = a“G” is…

Q: How much work is required to lift a 500-kg satellite to an altitude of 3⋅10^6 m above the surface of…

A: Given: The mass of the satellite, m = 500 kg The mass of the Earth, M = 6×1024 kg The radius of the…

Q: Mars has a radius of 3 390 km and a mass of 6.4 X 10^23 kg. A space probe carrying Vikings 1 Lander…

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Q: The gravitational field a distance r inside a spherical cloud of radius R and total mass M is given…

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Q: Four planets have relative masses and radii as shown above. The gravitational field g is equal on…

A: The gravitational field g for the planet 1 is calculated as, g=GMR2 Here, M is the mass of the…

Q: What is the gravitational acceleration close to the surface of a planet with a mass of 4M and radius…

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Q: Calculate the escape velocity from the surface of a world with mass 2.80 x 1024 kg and radius 6.50 x…

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Q: At what height (in km) above the surface of Earth would the gravitational acceleration be 9.6 m/s²?

A: Given:  g = 9.8 m/s/s  g' = 9.6 m/s/s

Q: If mass 1 and mass 3 are 14.0 kg, what is the total gravitational potential energy of the three…

A: The expression for the gravitational potential energy is,

Q: What is approximately the gravitational force of the sun on the planet mars? (RMs= 2.28 × 10ºkm, M,…

A: Given data:  Distance between Sun and Mars (RMS) = 2.28×108 km Mass of Sun (Ms) = 1.99×1030 kg Mass…

Q: A star is observed to undergo circular orbit around the black hole located at the centre of the…

A: We have a star which is undergoing a circular orbit of radius R=1000 AU=1.469*1014m with a time…

Q: The star Sirus A has a mass of 2.06 MO and a radius of 1.71 RO, where M0 is the mass of the Sun…

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Q: he motion of a body of mass m, gravitationally attracted to Earth in the presence of a esisting drag…

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Q: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant…

A: Consider a satellite having mass m orbiting around a planet in radius R with speed v and the…

Q: At what altitude above Earth's surface would the gravitational acceleration be 3.5 m/s??

A: Given: Gravitational acceleration, a = 3.5 m/s2.   To Find: The altitude at which the Gravitational…

Q: One of your summer lunar space camp activities is to launch a 1170 kg rocket from the surface of the…

A: The expression for the required gravitational potential energy,

Q: Scientists have discovered a distant planet with a mass of 6.0x1023 kg. The planet has a small moon…

A: Mass of the planet, M = 6 X 1023 kg Time period of moon of planet, T = 5 hours 40 minutes = 340…

Q: If mars has a mass of 6.4 x 1023 kg and a radius of 3.39 x 106m. What is the escape speed needed…

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Q: An object of mass mm is launched from a planet of mass MM and radius RR.  a) Derive and enter an…

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Q: The escape speed from a distant planet is 33 km/s. If the acceleration of gravity on the planet…

A: Let us consider the escape velocity to be vesc. The required  velocity to cross a distance equal to…

Q: Scientists wish to place a satellite near a moon at an altitude of 350.0km from the surface. The…

A: Given that, Mass of the moon (M)= 7.45× 10²² Kg Radius of the moon (R)= 1.74× 10⁶ m Altitude of the…

Q: Find the escape velocity of a 1500 kg satellite from the Solar System while on the Earth's orbit.…

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Q: What is the force between the Sun with a mass of 1.99 x 10^30 kg and the planet Uranus with a mass…

A: Given data:  Mass of sun (m1) = 1.99×1030 kg Mass of Uranus (m2) = 8.73×1025 kg Distance (r) =…

Q: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant…

A: Given data: Speed of the satellite, v=1.1×104 m/s Mass of the planet, M=6.04×1024 kg Mass of the…

Q: Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the…

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Q: n asteroid has a radius of about 7.5 km. Assuming that the density of the asteroid is the same as…

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Q: C) ESA wants to send a satellite to Jupiter to investigate its internal structure and origin by…

A: Here's the explanation based on the theory behind the calculations:Escape Velocity:Every object…

Q: The mass of a planet is 5.0×1024 kg and its radius is 6.1×10 m. The energy required for a body of…

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Q: 1. In the atmosphere of a planet or large satellite the hot molecules or atoms may be moving fast…

A: 1-Average velocity of any one molecule is measured by temperature of gas. But velocity of individual…

Q: Assume a new planet discovered has a mass (1/81) that of Earth and a radius (1/4) that of Earth.…

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Q: Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the…

A: 1. The force of attraction between Mars and the satellite is…

Q: What is the gravitational field intensity at a distance of 8.4 x 107 m from the centre of Earth?

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Q: A satellite is placed in orbit 1.6(10^6) m above the surface of the moon. If the mass of the…

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.