Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth’s center. Satellite A is to orbit at an altitude of 6370 km. Satellite B is to orbit at an altitude of 19 110 km.The radius of Earth RE is 6370 km. (a) What is the ratio of the potential energy of satellite B to that of satellite A, in orbit? (b) What is the ratio of the kinetic energy of satellite B to that of satellite A, in orbit? (c) Which satellite has the greater total energy if each has a mass of 14.6 kg? (d) By how much?

Q: A space module weighs 15 metric tons on surface of Earth. How much work is done in propelling the…

A: Given: Weight of space module on the surface of Earth : F = 15 metric tons The radius of the Earth :…

Q: How much gravitational potential energy (in J) (relative to the ground on which it is built) is…

A: Potential energy of an object is defined as the energy possessed by the object by virtue of its…

Q: .

A: Mass of the car, M=1000 Kg gravitational acceleration ,g= 9.8 m/s2 The radius of the highway, R=5.0…

Q: Choose the correct alternative:(a) If the zero of potential energy is at infinity, the total energy…

A: (a)Kinetic energy of satellite (K.E),

Q: (a) How much gravitational potential energy (in J) (relative to the ground on which it is built) is…

A: Gravitational potential energy is the energy possessed by an object when its position changes, when…

Q: If a 1000 kg car is exiting a highway through an above-the-ground ramp of 5.0 m radius at 12 m/s,…

A: Given that,Mass :m =1000 (kg)Radius : r = 5 (m)Speed : v = 12 (m/sec)Here we need to find the…

Q: In the figure, a small block of mass m - 0.039 kg can slide along the frictionless loop-the-loop,…

A:

Q: A spacecraft of mass m moves around Earth in a circular orbit with a constant radius r at constant…

A: Given data: Mass of spacecraft is, m. Radius of circular orbit is, r.

Q: A satellite in Earth orbit has a mass of 96 kg and is at an altitude of 1.98 x 10° m. (Assume that U…

A: (given) Mass of satellite = 96 kg Altitude of satellite = 1.98 ×106 m (a) Potential energy of…

Q: What is the variation of the gravitational potential energy of the Earth in orbit around the Sun…

A:

Q: (a) What is the gravitational potential energy of a two-particle system with masses 6.3 kg and 1.6…

A: Given data:Mass of a particle ( M) = 6.3 kg Mass of second particle (m) = 1.6 kg Distance between…

Q: How much gravitational potential energy, in Joules, will an item of 91.75 kg have if it is at a…

A: Given: Mass m = 91.75 kg, Height h = 2.79 m. Required : Gravitational potential energy of the item.…

Q: An object of mass is raised from the surface of the Earth to a height equal to the radius of the…

A: Gain in potential energy is,

Q: A satellite with a mass of 76.6 kg revolves around the equator at an altitude of 1636 km above the…

A: The potential gravitational energy of an object is actually the value of the object's potential…

Q: A satellite from the Glonass navigation system weighs 7,350 N on the surface of Earth. How much work…

A:

Q: An artificial satellite orbiting the earth in a very thin atmosphere loses its energy gradually due…

A: The potential energy of the satellite revolving the Earth decreases as it approaches the Earth and…

Q: An astronaut working on the Moon tries to determine the gravitational constant G by throwing a Moon…

A: a) Write the expression for the gravitational potential energy at a distance r. Here, G represents…

Q: A certain satellite has a kinetic energy of 8 billion joules at perigee (The point closest to earth)…

A: Given Data :Kinetic energy at perigee Kinetic energy at perigee According to the work-energy…

Q: 1,050 kg meteor strikes the surface of the Moon. What is the work done (in J) on the meteor by the…

A: Given value--- mass of meteor = 1050 kg. We have to find--- What is the work done (in J) on the…

Q: Derive an expression for the work required to move an Earth satellite of mass m from a circular…

A:

Q: A satellite in Earth orbit has a mass of 109 kg and is at an altitude of 2.07 × 10° m. (Assume that…

A: Given data: Mass of satellite, m=109 kg Altitude of satellite, r=2.07×106 m Mass of the Earth and…

Q: A small block with mass 1 kg slides in a vertical circle of radius 0.5 m on the inside of a circular…

A: Mass= 1kg Initial velocity= 5 m/s Final velocity= 1 m/s Radius= 0.5 m

Q: The three spheres in the figure, with masses ma = 82 g, mB = 7 g, and mc = 20 g, have their centers…

A: Given data The mass of sphere A is mA = 82 g = 0.082 kg The mass of sphere B is mB = 7 g = 0.007 kg…

Q: An astronaut working on the Moon tries to determine the gravitational constant G by throwing a Moon…

A: (a) Using Work-Energy theorem, ∆E=∫∞hFdrEh-E∞=∫∞hGMmR+r2drEh-0=GMm∫∞hdrR+r2Eh=-GMmR+h=-GmR+h43πR3ρ…

Q: (a) What is the gravitational potential energy of a two-particle system with masses 7.2 kg and 5.4…

A:

Q: Derive an expression for the gravitational potential energy of a body near the Earth's surface,…

A:

Q: A mass of 8.9 kg is suspended 8 m above the earth. a) What is the potential energy (in J) of the…

A: Potential energy of an object is the energy it stored due to its height. Kinetic energy is the…

Q: The three spheres in the figure, with masses mA = 83 g, mB = 8 g, and mC = 17 g, have their centers…

A:

Q: In this problem, use the fact that the force of gravity on a particle of mass m at the point with…

A:

Q: A satellite in Earth orbit has a mass of 99 kg and is at an altitude of 1.93 x 10° m. (Assume that U…

A:

Q: .Show that the components of the force on m2 due to m1 are: Gm1m2x Fx (x²+y²+z²)7 Gm,mży • Fy 3…

A: Part 1. The magnitude of position r will be: Gravitational potential energy = The gravitational…

Q: A lunar module weighs 12 metric tons on the surface of the Earth. How much work is done in…

A: Given the mass of the module on earth m=12000 Kg This mass remains same at moon too. The work done…

Q: A 1.029 km diameter asteroid will make a crater about 10 km in diameter. Let the asteroid have a…

A: Determine the volume of the asteroid.

Q: A satellite of mass 500 kg us in an approximately cultist orbit around Earth with a period of 1.5…

A:

Q: An average-sized asteroid located 4.0 x 107 km from the center of Earth with mass 8.0 x 1013 kg is…

A:

Q: You have two 1500 kg masses 80.0 m apart. What is the gravitational potential energy of this system?…

A:

Q: Taking the surface of Earth as reference level, how high above the ground does a 65-kg flying witch…

A: Mass of the witch is 65kg  Gravitational PE = mgh

Q: A 2.50 kg mass is drop from rest. If it falls a distance of 25.0 m, what will its change in kinetic…

A: From kinematics equation, the expression for the final velocity in terms of displacement is:

Q: A satellite in Earth orbit has a mass of 105 kg and is at an altitude of 1.95 × 10° m. (Assume that…

A: Given: mass of satellite, m = 105 kg height of satellite, h = 1.95×106 m mass of earth, M = 6× 1024…

Q: In order to increase the amount of exercise in her daily routine, Tara decides to walk up the six…

A: Given :Tara walks six flights with 12 steps each.Height of one step= 18 cm= 0.18 mMass of Tara m=…

Q: If a 1000 kg car is exiting a highway through an above-the-ground ramp of 5.0 m radius at 12 m/s,…

A: Given that, Mass, m=1000 kg Radius, r=5.0m Velocity, v=12 m/s

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.