Many people assume air resistance acting on a moving object will always make the object slow down. It can, however, actually be responsible for making the object speed up. Consider a 100-kg Earth satellite in a circular orbit at an altitude of 200 km. A small force of air resistance makes the satellite drop into a circular orbit with an altitude of 100 km. (a) Calculate the satellite’s initial speed. (b) Calculate its final speed in this process. (c) Calculate the initial energy of the satellite–Earth system. (d) Calculate the final energy of the system. (e) Show that the mechanical energy of the system has decreased and find the amount of the decrease due to friction. (f) What force makes the satellite’s speed increase?

Q: 2. A satellite of mass m is in an elliptical orbit around the Earth, which has mass Me and radius…

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Q: For a satellite with an elliptical orbit and not a circular orbit, the potential energy varies with…

A: Given: A satellite in an elliptical orbit   To find: Whether its Potential energy varies with time…

Q: Assume that a satellite executes perfectly circular orbits around a perfectly circular sphere. The…

A: The work done is equal to the product of force and the displacement.  W=F.dcosθ where W is the work…

Q: The first known collision between space debris and a functioning satellite occurred in 1996: At an…

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Q: A 992-kg satellite orbits the Earth at a constant altitude of 104-km. (a) How much energy must be…

A: mass of satellite (m) = 992 kg altitude (h) = 104 km = 104000 m new altitude (h') = 190 km = 190000…

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: A space probe is about to launch with the objective to explore the planets Mars and Jupiter. To use…

A: Below you find the orbital period and the semi major axis of the three planets:   orbital period…

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

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Q: While describing a circular orbit 200 mi above the earth, a space vehicle launches a 6000-lb…

A: Radius of the Earth, R = 3958.8 mi = 6.371 ×106 m Distance between the satellite and the Earth’s…

Q: A 1 018-kg satellite orbits the Earth at a constant altitude of 99-km. (a) How much energy must be…

A: Given   A 1 018-kg satellite orbits the Earth at a constant altitude of 99-km. (a) How much energy…

Q: A satellite of mass 175 kg is launched from a site on Earth's equator into an orbit at 195 km above…

A: Solution: Given data: Mass of the satellite, m = 175 kg, Height of the orbit, h = 195 km =1.95×105 m…

Q: (a) Calculate the work (in MJ) necessary to bring a 104 kg object to a height of 991 km above the…

A: Given data: a). The mass, m2=104 kg The height, h=991 km

Q: The diagram shows an exploratory satellite in a circular polar orbit at a height of 250km above…

A: An exploratory satellite placed in the stable orbit around the earth by using multistage rocket. To…

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

A: Given:- Satellite A is to orbit at an altitude of 5730 km. satellite B is to orbit at an altitude of…

Q: A 955-kg satellite orbits the Earth at a constant altitude of 103-km. (a) How much energy must be…

A:

Q: Two Martian satellites, A and B, are in circular orbits around Mars’ center. Satellite A orbits at…

A: Given that, RA=4200 kmRB=12.600 kmRM=3389.5 kmM=6.39×1023 kg Therefore, rA=RA+RMrB=RB+RMrA=7589.5…

Q: A space probe is to be placed in a circular orbit of radius 4000 km about the planet Mars. As the…

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Q: satellite revolves around the earth in a circular orbit with a velocity “v”. What is the total…

A: Given: A satellite revolves around the earth in a circular orbit with a velocity “v." “m” is the…

Q: A 965-kg satellite orbits the Earth at a constant altitude of 109-km. (answers in MJ) (a) How much…

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Q: Q. 55 A planet in a distant solar system is 10 times more massive than the earth and its radius is…

A: To find- (Ve)planet Given-M1=mass of earthM2=mass of planetM2=10M1R1=radius of earthR2=radius of…

Q: Macmillan Learning In a futuristic scenario, you are assigned the mission of making an enemy…

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Q: -kg satelite (a) How much energy must be added to the system to move the satellite into a circular…

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Q: The escape velocity of a body from the surface of the earth is 11.2 km/sec. If a satellite were to…

A: To find-Critical velocity (Vc)=?Given-Escape velocity (Ve)=11.2 km/s

Q: Three uniform spheres of masses m, = 3.50 kg, m, = 4.00 kg, and m, = 6.50 kg are placed at the…

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

Q: A geosynchronous orbit for a satellite is a circular orbit about the equator of the Earth in which…

A: The net  force acting on the satellite Fg=FcFg= gravitational forceFc=centripetal…

Q: A spaceship with m = 1.00 ✕ 104 kg is in a circular orbit around the Earth, h = 800 km above its…

A: Given: Mass of spaceship, m = 1 X104 kg Height of spaceship = 800 km Apogee , d = 3 X 104 km Mass of…

Q: A 965-kg satellite orbits the Earth at a constant altitude of 109-km. (a) How much energy must be…

A: Given information: The mass of the satellite (m) = 965 kg The initial altitude of the satellite (r)…

Q: A space capsule of mass 505 kg is at rest 8.00 x 10 m from the center of the Earth. When it has…

A: We know that the potential energy is given as  P.E = mgh  where m is the mass and g is the…

Q: In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core…

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Q: How much energy is required to move a 1400 kg object from the Earth's surface to an altitude twice…

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Q: A baseball bat is swung with an angular velocity of 500°/s and has a radius of 1.2m. What is the…

A: Angular  velocityω=500°/s=500×0.0175 rad/s=8.75 rad/s Radius r= 1.2 m

Q: For a satellite with an elliptical orbit and not a circular orbit, the kinetic energy varies with…

A: To find (True/False): For a satellite with an elliptical orbit and not a circular orbit, the kinetic…

Q: A 3500-kg spaceship is in a circular orbit 220 km above the surface of Earth. It needs to be moved…

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

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Q: A communications satellite is launched into circular orbit around the Earth, at an altitude h. The…

A: a) Write the equation of Kepler’s third law.

Q: A satellite is in a circular orbit of radius r around the Earth. (Use the following as necessary: G,…

A: A satellite of mass M to move in a circular orbit, centripetal force must be acting on the…

Q: A satellite has a mass of 5850 kg and is in a circular orbit 4.10 × 105 m above the surface of a…

A: Satelite mass (m) = 5850kgOrbital radius (r) = 4.10 x 103 m +4.15 x 106mGravitational constant (G) =…

Q: (a) At what height above Earth’s surface is the energy required to lift a satellite to that height…

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Q: A space probe is in orbit around Mars at an altitude of 1200 km. To move to a higher orbit, small…

A: Assuming a circular orbit of the satellite, the speed of the satellite at height h above Martian…

Q: A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the…

A: In the lower circular orbit a body is moving having mass M and radius R R is taken to be radius of…

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.