If you wanted to place a satellite in a geosynchronous orbit, at what height above the Earth's surface should you place it? (Earth's mass = 5.98x10^24, Earth's radius = 6x10^6, G = 6.67x10^-11) For the previous situation using the given answer, what is the difference in potential energy between the Earth's surface and the satellite height for a satellite with 1 kg mass?

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: An earth satellite in a circular orbit 300 mi above the surface of the earth makes a complete…

A:

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

A: time period of geosynchronous earth satellite = 1 day mass of earth = 5.98×1024 kg

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 with a mass of 200 kg fires its engines to increase velocity, thereby increasing the…

A: Satellite mass m = 200kg Radius   r1=7.5×106m Radius r2=7.7×106m Mass of earth M =5.97×1024kg…

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: 2.0 x103 kg satellite is in a circular orbit around the earth (m = 5.98 x 1024 kg). The satellite…

A:

Q: A meteor falls toward Earth’s surface. Given that the acceleration due to gravity is 9.8 m/s2, what…

A:

Q: At what height (in km) above the surface of Earth would the gravitational acceleration be 8.3 m/s^2?

A: Given: The gravitational acceleration at some height is 8.3 m/s2. Introduction: The acceleration due…

Q: A satellite is orbiting the earth in a perfectly circular orbit of radius 7.0 x 10³ km at constant…

A:

Q: A 750 kg spacecraft has total energy -0.55 TJ and is in circular orbit around the Sun. Part A Find…

A:

Q: A satellite of mass 175 kg is launched from a site on Earth's equator into an orbit at 180 km above…

A:

Q: An astonaut stands on the surface of the moon.  If the astronaut has a  mass of 86.0 kg what is the…

A: Given,

Q: What is the total mechanical energy of the ISS assuming that it's a perfect circular orbit at an…

A: Given,  Mass of ISS, Height of ISS above earth surface,

Q: How much energy Δ? would be required to move the Moon from its present orbit around Earth to a…

A: Given: The radius of the Moon's orbit is 3.84x108 m.

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

A: (a) The expression to solve for the orbital speed of the satellite is as follows:…

Q: An asteroid starts at rest infinitely far from Earth. The asteroid has a mass of 1.00×10ª kg.…

A: The work done by the Moon's gravitational field can be evaluated through the change in potential…

Q: As you have learnt in the text, a geostationary satellite orbits the earth at a height of nearly…

A: The amount of the work done needed to carry a unit mass from infinity to a desired point is called…

Q: How much energy is required to move a 1250 kg object from the Earth's surface to an altitude twice…

A: Given data: Mass of object is, m=1250 kg.

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

A:

Q: An asteroid with mass m = 1.00 x 10^9 %3D kg comes from deep space, effectively from infinity, and…

A:

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: In March 1999 the Mars Global Surveyor (GS) entered its final orbit about Mars, sending data back to…

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…

A:

Q: An 8000 kg satellite is launched from the surface of the Earth into outer space. What initial…

A:

Q: Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth’s…

A: The radius of Earth, The gravitational force, The rotational force,

Q: The orbit of Earth around the Sun is almost circular: The closest and farthest distances are 1.47 x…

A:

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

A:

Q: eteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R.

A:

Q: A satellite is held in orbit by a 2 000-N gravitational force. Each time the satellite completes an…

A: Given Data:- Gravitational force on the satellite is F=2000 N Circumference of the orbit is d=80000…

Q: A satellite on a circular low Earth orbit moves at a constant speed and is subject to the…

A:

Q: Two planets of equal mass orbit a much more massive star. Planet m 1 moves in a circular orbit of…

A: Given that,Radius r1 of orbit for planet m1=1×1011 mRadius r2 of orbit for planet m2=1.8×1011 mTime…

Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

A: Given: Closest distance of comet from sun, r1 = 4.9×1010 m with speed, v1 = 9.3×104 m/s Farthest…

Q: One of your summer lunar space camp activities is to launch a 1010 kg rocket from the surface of the…

A: Given: The mass of the rocket is 1010 kg. The altitude is 209 km. The mass of the moon is 7.36×1022…

Q: A satellite is in orbit above a planet. Which of the following is TRUE? 1. The total energy of the…

A: The answer is below

Q: It was stated that a satellite with negative total energy is in a bound orbit, whereas one with zero…

A: Consider a satellite of mass m orbiting around it at a distance r from the planet of mass M. For the…

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: satelite is in geostationary orbit. How much energy is required to move it to a circular orbit where…

A: Time period of geostationary satellite = 1 day = 24 hours  Time period in second case = 8 days…

Q: A spacecraft of mass 1.00 × 10^3 kg orbits the sun (mass 1.99 * 1030 kg) in a circular orbit of…

A: Given: The mass (m) of the spacecraft is 103 Kg. The mass (M) of the sun is 1.99×1030 Kg.…

Q: A satellite is orbiting the earth in low orbit (160 km above the surface of the earth). If the…

A: Given:Distance between the earth’s surface and satellite = 160 kmMass of the earth = 5.972 X 10 24…

Q: An asteroid with mass m = 1.00 x 10^9 kg comes from deep space, effectively from infinity, and falls…

A: Given: Mass of the asteroid = m = 109 kg Distance from the center of the earth = r = 4×108 m Mass of…

Q: There are required 44.76 kJ of gravitational work to elevate a mass 76.22 m in the earth's…

A: Work required,  Height,  Local gravitational field,  Initial potential energy,

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.