It was stated that a satellite with negative total energy is in a bound orbit, whereas one with zero or positive total energy is in an unbounded orbit. Why is this true? What choice for gravitational potential energy was made such that this is true?

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: If a Saturn V rocket with an Apollo spacecraft attached has a combined mass of 2.5 x 105 kg and…

A: Given data, Combined Mass of the Apollo Spacecraft (m)=2.5×105 kg Speed of the spacecraft(v)=10.4…

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

A:

Q: A satellite of mass 390 kg is in a circular orbit around the Earth at an altitude equal to the…

A: Given : Mass of satellite, m  =  390 kg Mass of Earth, Me      =  5.98 x 1024 kg Gravitational…

Q: A satellite orbiting above the equator of the earth is geosynchronous if the period is T = 24 hours…

A: According to Kepler’s law

Q: A small satellite of unknown mass m is in a circu- lar orbit around a spherical body of unknown (but…

A:

Q: Two Earth satellites, A and B, each of mass mmm = 940 kg, are launched into circular orbits around…

A: Given : m = 940 kg rA = 4500 km = 4.5 x 106 m rB = 11100 km = 1.11 x 107 m

Q: A satellite of mass m is orbiting Earth in a stable circular orbit of radius R. The mass and radius…

A: Satellite speed and independent of mass of satellite.

Q: A satellite is in a low earth orbit. Which of the following changes would increase the orbital…

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Q: In order better to map the surface features of the Moon, a 309 kg imaging satellite is put into…

A: Write the given values, and calculate the distance (r) of the satellite from the Moon’s center.

Q: If the speed of a satellite of mass “m" in orbit around Earth is “v" at a distance “T" from Earth's…

A:

Q: Would we obtain equilibrium on the Moon with g’=g/6? Discuss the effect of changing the…

A:

Q: =) ) Calculate the gravitationial poten- tial difference between a point on the Earth's surface and…

A:

Q: Compute the work W against the earth’s gravitational field required to move a satellite of mass m =…

A: Mass of satellite (m)=1000 kg Initial altitude of orbit (r1)=4000 km Final altitude of orbit…

Q: Why is more fuel required for a spacecraft to travel from the Earth to the Moon than to return from…

A: More fuel required for a spacecraft to travel from the Earth to the Moon than to return from the…

Q: Why does a satellite need no fuel to move round a planet in a fixed orbit?

A: Any object needs centripetal acceleration to keep itself in circular motion.

Q: Find the escape velocity that a 1500 kg satellite needs to escape from the Solar System from Earth…

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Q: For an object of 1kg mass to escape the gravitational force of the earth, the kinetic energy…

A: the formula for kinetic energy can be represented by  K.E = 12m.v2 where m= mass of body (1kg) v =…

Q: A satellite of mass 20000 Kg orbits the earth along a path of long 3 x 108 m calculate: a) The…

A: Given data: The mass of the satellite, m=20000 kg. The radius of the orbit, r=3×108 m. The value of…

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

A:

Q: How much work is required to move a 1550 kg satellite from a circular orbit with an altitude of 105…

A:

Q: Is the sum of kinetic and potential energies a constant for satellites in circular orbits, in…

A: Determining if the sum of potential energy and kinetic energy is constant or not in circular orbits:

Q: A satellite orbiting above the equator of the earth is geosynchronous if the period is T = 24 hours…

A: Kepler's third law states that the square of the period is proportional to the cube of the…

Q: Why is work done by the force of gravity on a satellite when it moves from one part of an elliptical…

A: Work done while moving in a circular path will be zero but work done while moving in an elliptical…

Q: An earth satellite remains in orbit at a distance of 17100 x 10^4km from the center of the earth.…

A: Given-An earth satellite remains in orbit at a distance  from the center of the earth…

Q: An asteroid starts at rest infinitely far from Earth. The asteroid has a mass of 1.00x104 kg.…

A: 1)Change in gravitational potential energy = - GMm/R  = -6.67 * 10-11 * 6 * 1024 * 104/(6378000) = -…

Q: Calculate the eccentricity, e, of a planet's orbit around a central star if the ratio of its…

A:

Q: (f 601) N

A: Calculating the minimum velocity (escape) on the basis of kinetic energy

Q: A communications satellite with mass 300.0 kg is placed in a geostationary orbit 35,800 km above the…

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Q: Is the sum of kinetic and potential energies a constant for satellites in circular orbits, in…

A:

Q: A 120 kg space satellite moves in a circular orbit of 400 km above Moon's surface with a period of…

A:

Q: ical orbit with an eccentricity e = 0.30. Determine its speed when it is at its maximum distan

A: Givene=0.3hB=2 Mm=2×106 m

Q: A satellite is in a circular low Earth orbit at an altitude of  328 km  above the equator's surface.…

A: It is given that,

Q: At what height above the Earth's surface is a satellite, which orbits around Earth in 100 minutes?

A: At what height above the Earth's surface is a satellite, which orbits around Earth in 100 minutes?

Q: A 300kg satellite moves in a circular orbit around the Mars (radius of the planet Mars is 3.37 ✕ 106…

A: (a) As the satellite moves in circular orbit, the centripetal acceleration is balanced by the…

Q: A 1 kg satellite is to be placed at 3.55e7 meters above the earth's surface. What is the difference…

A:

Q: The escape speed from the surface of the Earth is 11.2 km/s. Estimate the escape speed for a…

A:

Q: A 1500 kg satellite is in a stable orbit at an altitude of 4.0 × 10 5 m above Earth's surface. What…

A: SOlution: Given that m =1500 kg h= 4.0 × 10 5 m Mearth = 5.97x1024 kg rearth = 6.4x106 m

Q: How much energy is required to lift a 10 kg rock from the surface of the Earth and place it in a…

A:

Q: A 150-kg satellite is in a 310-km altitude stable circular orbit around earth. What is its orbital…

A: Given data The mass of the satellite is m = 150 kg The altitude of the circular orbit is H = 310 km…

Q: From #2, how much additional energy would that 1500 kg satellite need to escape from the Solar…

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Q: Consider a satellite that is in geosynchronous orbit around the earth's equator. A geosynchronous…

A: Given data: Earth's mass Me=5.98×1024kg Satellite's mass m=100 kg Earth's radius Re=6.37×106m…

Q: A satellite in a circular orbit rotates around the Earth every 120 minutes. If the Earth's radius is…

A: Write the given values with the suitable variables. T=120 minr=4000 mih=400 mit=40 min Here, T, r,…

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.