order to survey possible landing spots on the moon, the Apollo 10 mission needed to orbit the moon at no more than 1670 m/s in order to get good confirmation of the parameters for landing.  At what altitude above the moon's surface (m = 7.348 x 1022 kg; r = 1.7381 x 106 m) did the capsule need to orbit?

Q: During the lunar mission of Apollo 11, two astronauts (Armstrong and Aldrin) descended to the moon's…

A:

Q: he International Space Station has a mass of 4.12 x 105 kg and is orbiting at an altitude of about…

A: In this question we have to find the speed of the International Space Station in its orbit. Please…

Q: In order better to map the surface features of the Moon, a 383 kg imaging satellite is put into…

A: ms=383kgMm=7.36×1022kghs=149km=149×103mR=1740km=1740×103mr=R+hs=(1740×103m)+(149×103m)=1889×103m

Q: We sent a probe out to orbit the planet Kerbal at a distance of 5.5x107m from the middle of the…

A: d = 5.5 *107m T = 3.5 * 105 sec using formula, V = 2πd/T V = 2π*5.5 * 107/3.5*105V = 987.36 m/s

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

A:

Q: ➡The Moon's mass is 7.4 x 10²2 kg, and its radius is 1700 km. What would be the period and the speed…

A: The period of an object in orbit is defined as the time taken by that object to complete one full…

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

A:

Q: Assume the earth's mass is 73.13 x 1025 kg, and radius is 27.06 x 103 miles, what would be the…

A: Given data:    Mass (M) = 77.13 × 1025 kg Radius (r) = 27.06 × 103 miles G = 6.67 × 10-11 Nm2/kg2…

Q: In order better to map the surface features of the Moon, a 361 kgimaging satellite is put into…

A: Given Mass (m)             = 361 kg Radius (R)           = 1740 km Moon mass (M)  = 7.36×1022 kg…

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: A satellite used in a cellular telephone network has a mass of 2060 kg and is in a circular orbit at…

A: Given,mass of the satellite m = 2060 kgheight of the satellite from surface of the earth mass of the…

Q: The International Space Station (ISS) orbits the Earth in a nearly circular orbit that is 345 km…

A: "Since you have asked multiple question, we will solve first three question for you. If you want any…

Q: The average density of the planet Mercury in 5.61 * 10^3 kg/m^3. The acceleration of gravity on its…

A: Given: Average density of mercury planet , ρ=5.61×103 kg/m3 Gravitational acceleration on planet…

Q: If a rock is dropped 2.0m above the surface of mars how long would it take to reach the ground?

A: Acceleration due to gravity on mars is 3.711 m/s2.

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

A:

Q: For one particular event during the World's Strongest Man competition, Hafþór Júlíus Björnsson, who…

A: Since both questions are different, as per bartleby guidelines I can answer only 1st.   Thanks!…

Q: A spacecraft was launched to perform a mission to observe the moon in a circular orbit 120 km above…

A:

Q: Suppose an asteroid named Sparty has been discovered revolving around the Sun on a circular orbit…

A: Here, the gravitational force acts as centripetal force So: mv2R=GMmR2i.e.v=GMRAnd also as v=2πRT…

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: 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: (a) What is the acceleration (in m/s) of gravity on the surface of the moon? 1.620 m/s? (b) What is…

A:

Q: What is the acceleration due to gravity on the surface of Mars? The mass of Mars is 6.42 ✕ 1023 kg…

A: the acceleration due to gravity can be expressed as g=GMR2

Q: A "low-Earth orbit" refers to a satellite whose circular orbit is only slightly above the surface of…

A:

Q: Every few months, memes circulate claiming that certain alignments of the planets with the Earth…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: the velocity and orbital period of the spacecraft?

A:

Q: A mysterious, newly discovered planet has a radius of 8500 km and a mass of 9.5 x 1023 kg. Suppose…

A: In this problem, we will use the speed of the satellite at a height of h and will calculate the…

Q: How much would a 60.0 kg astronaut weigh in orbit around the Moon at an altitude of 2.0 x 10^5 m…

A: If the astronaut is in a spaceship which is orbiting the moon, then the astronaut would be…

Q: has a mass of 1820 kg and is orbiting at an elevation of 65.0 km from the surface, what is the…

A: Given: The mass of the moon is 7.348x1022 kg. The mass of the LRO is 1820 kg. The distance of the…

Q: An Earth satellite has an orbital period of 5.3 h. What is its orbital radius? (ME = 5.98 x 1024…

A: The orbital period of the satellite is 5.3 h.The mass of the earth is 5.98x1024 kg.

Q: Assume the earth's mass is 23.335 x 1025 kg, and radius is 76.394 x 103 miles, what would be the…

A:

Q: Assume the earth's mass is 80.004 x 1025 kg, and radius is 35.532 x 103 miles, what would be the…

A: Given data The mass of the earth is given as me = 80.004 x 1025 kg. The radius of the earth is…

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.