RE Figure 13.9 (Example 13.5) A satellite of mass m moving around the Earth in a circular orbit of radius rwith constant speed v. The only force acting on the sat- ellite is the gravitational force F.. (Not drawn to scale.)

Q: Determine the height habove the surface of a planet of radius R and mass M at which the…

A: The gravitational field will be 60% on its surface, gh=g×60100=35g Then, weight of a mass on the…

Q: The first artificial satellite to orbit the Earth was Sputnik I, launched October 4, 1957. The mass…

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Q: m A r M. /3

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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: At apoapsis (furthest point from the star), the

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Q: A uniform solid sphere of radius R = 6400 Km produces a gravitational acceleration of a = 10m/s2 on…

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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: 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: Two satellites A and B have masses mand 2m respectively. A is in a circular orbit of radius R and B…

A: Two satellites, A and B, are known to have masses of m and 2 m, respectively. Around the earth, A is…

Q: A satellite is revolving in a circular orbit at a height h from the earth surface such that h <<R,…

A: We are aware that a satellite is orbiting the planet in a circle at a distance of h from the…

Q: Sun is far. beyond.the.orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This…

A: Given: A comet is in an elliptical orbit around the sun.its closet distance is 4.6x1010 m, at which…

Q: Synchronous or stationary communications satellites are put into an orbit whose radius is r=…

A: Solution : Convert the separation angle from degrees to radians. 3.9°=3.9×π180=0.068 rad. Calculate…

Q: tellite travels with constant speed vin a circular orbit 320 km above the earth's surface. Calculate…

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Q: The star Sirus A has a mass of 2.06 MO and a radius of 1.71 RO, where M0 is the mass of the Sun…

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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: For an elliptic Earth orbit find the ratio of the time required to travel from a point on the lower…

A: Given: The value of ν for lower latus parameter is -π3. The value of ν for upper latus parameter is…

Q: A planet moves in an elliptical orbit around a star. Vp is the component of the planet's linear…

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Q: A space capsule of mass 445 kg is at rest 2.50 ✕ 107 m from the center of the Earth. When it has…

A: Mass of space capsule (m) = 445 kg is at rest 2.50×107 m from the centre of Earth. It has fallen…

Q: GM for the speed v of a satellite (of mass m) moving in a circular orbit of radius r r about a…

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Q: A projectile is fired vertically from a planet's surface with an initial speed of 6.5 km/s. Neglect…

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Q: An asteroid, headed directly toward Earth, has a speed of 12 km/s relative to the planet when the…

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Q: AU is a unit of distance. If the orbital speed of Earth at aphelion is v, what is the orbital speed…

A: Angular momentum of earth about sun is conserved which means that at any point in the path of earth…

Q: Find the z component of the gravitational field due to these five point masses at a point P on the z…

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Q: (a) Evaluate the gravitational potential energy (in J) between two 4.00 kg spherical steel balls…

A: The data given is as follows: 1. Mass of the two spherical balls, m1=m2=4 kg 2. Center to center…

Q: A bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it…

A: Let h represent the bullet's climb in height.  Gravitational acceleration changes with height as…

Q: Which of the equations is NOT CORRECT? A в D E y2 - gR y2 „GM v² _ GM w2 - GM R2 w? - R

A: The mass of the satellite is given as, m The mass of the planet is given as, M The orbital radius of…

Q: Show that the values vA and vP of the speed of an earth satellite at the apogee A and the perigee P…

A: Let M is the mass of earth, and m is the mass of satellite. According to principle of conservation…

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: Consider an object that is in an elliptical orbit with semimajor axis a = 7.9×106 m about a planet…

A: Relation b/w the apogee ( furthest ) and perigee (closest) point with Semimajor axis(a) are as:…

Q: A bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it…

A: We are aware that a bullet is launched vertically upward with velocity v from a spherical planet's…

Q: The position of four point masses m = 4 kg, m2 = 2 kg, m3 = 12 kg, and m4 = 4 kg are given by (1,0),…

A: Given : Mass m1 = 4 kg at (1,0) coordinate             Mass m2 = 2 kg at (0,2) coordinate…

Q: The ratio of the radius of the Earth to that of the Moon is 10. The ratio of acceleration due to…

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Q: Two planets P, and P, orbit around a star S in circular orbits with speeds v, = 44.4 km/s, and v,…

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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 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: Derive the total energy (E) of a particle of mass m moving in a centripetal force field, based on…

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Q: The earth orbits the sun at an approximate velocity v = 30 km/s and radius r = 150*10^6 km. (a)…

A: Given data v=30 km/sr=150×106 km Here, V is the velocity and r is the radius of the earth. When…

Q: A piece of spacecraft debris initially at rest falls to the earth’s surface from a height above the…

A: From energy conservation,12m×0+-GMmR+R/2=12mv2+-GMmRG=gravitation constantM=mass 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.