A satellite is in a circular low Earth orbit at an altitude of  328 km  above the equator's surface. For Earth's radius at the equator, use  RE, eq = 6.38 ✕ 106 m. Assuming only the force of Earth's gravity acts on the satellite, determine the smallest required change in the satellite's speed if it is to escape Earth's gravity and never return. m/s

Q: An artificial satellite is traveling 8.0 x 10 m/s in a circular orbit. Assuming g= 9.7 m/s at that…

A:

Q: A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from…

A: R=1.8×107 mM=4.8×1024 kg From the conservation of energy, 12mv2=GMm2R, here G is gravitational…

Q: A 21.0 kg satellite has a circular orbit with a period of 3.90 h and a radius of 8.90 × 106 m around…

A:

Q: Determine the magnitude of the gravitational acceleration caused by the Earth at a height of 1.5 Re…

A: Earth's radius (RE) = 6,371,000 metersHeight above Earth's surface (h) = 1.5RE = 9,556,500…

Q: An engineer wants a satellite to orbit the earth with a period of 20 hours. You may enter answers in…

A: Time period of the satellite is Mass of the Earth is Radius of the Earth is Note:Universal…

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

A:

Q: The International Space Station is orbiting at an altitude of about 370 km above the earth's…

A: Given that, The altitude of the space station from the surface of the earth is h=370(km)=370×103(m)…

Q: Two satellites are in circular orbits around a planet Part A that has radius 9.00 x 106 m. One…

A:

Q: A geosynchronous satellite   moves in a circular orbit around Earth (i.e., its period is 24 hours).…

A:

Q: A satellite with a mass of 300 kg moves in a circular orbit 5 x 107 m above the earth's surface. a)…

A: Given, Mass of the satellite, m = 300 kg circular orbit above the earth's surface, h = 5×107 m…

Q: A spacecraft is in orbit around Jupiter. The radius of the orbit is 3.0 times the radius of Jupiter…

A:

Q: A planet has a mass of 5.98 x 10²4 kg. It has an average orbital speed of 2.978 x 104 m/s as it…

A:

Q: A spy satellite is in circular orbit around Earth. It makes one revolution in 9.20 h. Mass of Earth…

A:

Q: An astronaut orbiting the Earth is preparing to dock with a Westar VI satellite. The satellite is in…

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: 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: A 33.0 kg satellite has a circular orbit with a period of 2.60 h and a radius of 7.90 × 106 m around…

A: Given quantities Gravitational acceleration = 8.20m/s^2 Time period = 2.60h mass of satellite = 33kg…

Q: Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed…

A: Given : v1 = 2.5 x 104 m/s d1 = 3 x 1011 m d2 = 5.3 x 1010 m

Q: An artificial satellite circling the Earth completes each orbit in 123 minutes. (The radius of the…

A: Given:  Time period, T = 123 min = 123 x 60 = 7380 s Radius of earth, R = 6.38 x 106 m  mass of…

Q: A satellite is launched to orbit the Earth at an altitude of 1.10 x 107 m for use in the Global…

A:

Q: the velocity and orbital period of the spacecraft?

A:

Q: Whenever two Apolloastronauts were on the surface of the Moon, a third astronaut orbited the Moon.…

A: 1) The radius of the circular orbit is: When the astronaut orbits around the Moon, the centripetal…

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: A satellite is placed in orbit around the Earth (use radius of 6.38*10^6 m) at a surface altitude of…

A: radius of earth (r) = 6.38×106 m altitude (h) = 3×106 m mass of satellite (m) = 750 kg mass of…

Q: A 2000. kg satellite is put into a circular orbit around the earth (mass = 6.00 X 1024 kg). If the…

A:

Q: A satellite is in circular orbit at a height of 5.0x 10^5m above the earth’s surface. The radius of…

A: Given, The height of satellite = 5.0x 105 m =h The radius of the earth = 6.38x106 m =R The mass of…

Q: A spherical particle is falling through the air. Determine the drag force acting on the particle.…

A:

Q: A planet orbiting a distant star has radius 3.54×106 mm. The escape speed for an object launched…

A:

Q: m il- R

A:

Q: An astronaut orbiting the Earth is preparing to dock with a Westar VI satellite. The satellite is in…

A: Given Data: The height of the satellite from the earth's surface is, h=400 km The free-fall…

Q: A 200 kg satellite is placed into orbit around the Earth with a radius of 4.23 x 107 m. The mass of…

A: Given dat Mass of the satellite, m=200 kg Radius of the orbit, R=4.23×107 m Mass of the earth,…

Q: A 700 Kg satellite is placed h = 2.5 x 10^5 m above the earth. If the gravitational pull of earth is…

A: Fc = mv2/r  GMm/(Re+h)2 = mv2/(Re+h)

Q: Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital…

A:

Q: A certain satellite travels in an approximately circular orbit of radius 7.0 x 106 m with a period…

A:

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

A:

Q: On the ground level, the weight of a satellite is W N. The satellite is launched and stays in an…

A: On surface of the earth gravity is g = GMR2 , where R is radius of earth , G is gravitational…

Q: Example 4. A satellite is orbiting a circular orbit at an altitude of 900 km, at which atmosphere…

A: Altitude of a satellite orbiting a circular orbit is H =900 km Atmospheric density is ρ =5.46 ×10-13…

Q: A geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Such orbits…

A: The expression from the Kepler's third law is, T12T22=R13R23...............(1) Here, T1 is the time…

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.