The fastest possible rate of rotation of a planet is that for which the gravitational force on material at the equator just barely provides the centripetal force needed for the rotation. Calculate this rotation period for Earth.

Q: An unmanned satellite orbits the earth with a perigee radius of 10,000 km and an apogee radius of…

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

Q: The mass of a new discovered planet is 6.39 × 10^23kg. If the weight of a spaceship from earth that…

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Q: Assume the earth's mass is 0.568 x 1025 kg, and radius is 54.595 x 103 miles, what would be the…

A: Mass of earth (m) = 0.568×1025 kg Radius of the earth (R) = 54595 miles Using conversion factor : 1…

Q: Determine the centripetal force acting upon a 40-kg child who makes 10 revolutions around the…

A: Given: The mass of the child  M = 40 kg. The number of revolution the child makes around the…

Q: What is the centripetal acceleration of Mars as it orbits the Sun?

A: To move in a curved path, a planet must have an acceleration toward the center of the circle. This…

Q: A geosynchronous Earth satellite is one that remains above the same point on Earth (provided it…

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Q: A toy truck weighing 13 kg travels at a constant speed of 3 m/s around a circular track the diameter…

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Q: Which of the following statements is/are true about astronauts while orbiting the earth on board the…

A: We need to choose the correct statement for the given situation.

Q: You swing a rope lasso horizontally (parallel to the ground) above your head.  What is the name of…

A: when a rope is made to swing then due to the speed of the rode, a centrifugal force acts on the…

Q: Miranda, a satellite of Uranus, is shown in part a of the figure below. It can be modeled as a…

A: Given:Radius,r=242 kmMass,m=6.68×1019 kgDistance,Y=5000 mSpeed,v=6.40 m/sA) Find the free-fall…

Q: The spinner has a radius of 9.7cm and rotates with a frequency of 12Hz. Determine the magnitude and…

A: radius of spinner, r= 9.7cm= 0.097 m Frequency, f =12 Hz

Q: What is the force of gravity, Fg, between 2 spheres if: m1= 5.3 x 108 kg m2 = 2.5 x 1011 kg r =…

A: Given data: First mass (m1) = 5.3×108 kg Second mass (m2) = 2.5×1011 kg Distance (r) = 12,000 m G =…

Q: For an orbiting space station, ideally, the occupants would experience simulated gravity. One way to…

A: When the orbiting space station moves on the circular path with some velocity, then there will the…

Q: What is acceleration due to gravity at the equator and at the poles of the earth?

A: The value of ‘g’ is maximum at the poles. .

Q: A dwarf planet and an asteroid are in a remote location in space far from any other bodies.…

A: 1) F = Gm1m2/r^2    = (6.67×10^-11×9×10^20×4.5×10^17)/(3×10^7)^2    = 3×10^13 N  2) acceleration of…

Q: For a satellite to orbit Earth at a constant distance, its centrifugal acceleration must be equal…

A: # FBD of satellite                                            mg = force due to gravity   g = 6.2…

Q: A space station is in a circular orbit 750 km above the earth’s surface. For this satellite the…

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Q: You are on a strange new planet and you measure a weight of 2.1 Newtons acting on a 3 kg block. What…

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Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

A: SOlution: given that ac = 1.6g=1.6x9.8=15.68 m/s2 r = 6.02 m

Q: Miranda, a satellite of Uranus, is shown in part a of the figure below. It can be modeled as a…

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Q: What is the period of rotation of Venus in earth years if it is a distance of 1.08 x 1011 meters…

A: Period of rotation

Q: Calculate the centripetal force acting on a 1500. kg car driving at 26.8 m/s around a turn with a…

A: The answer is below

Q: Two planets are orbiting the sun at the same distance and at the same speed. Planet 1 has a mass of…

A: the mass of the sun is M, mass of planet 1 is m1 and that of planet 2 is m2the expression for the…

Q: Are we accelerating as a consequence of the Earth spinning on its axis

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Q: A satellite is orbiting Earth just above its surface. The centripetal force making the satellite…

A: Given: The centripetal acceleration is 9.80 m/s2. The radius of the earth is 6375 km. Introduction:…

Q: Everything on the Earth’s surface is rotating in a circle as the Earth spins on its axis. Does this…

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Q: skater moves with 14.82m/s in a circle of radius 35.0m. The ice exerts a centripetal force of…

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Q: The force with which the earth attracts an object is called the weight of the object. Calculate the…

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Q: weight W on Earth lands on a planet with mass 0.1 times the mass of Earth and radius 0.5 times the…

A: Given  The astronaut's weight  on the earth is W  The mass of the astronaut on a planet is 0.1 times…

Q: The centripetal force on an object pushes or pulls the object.... a) straight out from the center of…

A: When an object moving in a circle experiences a centripetal force. The centripetal force is a net…

Q: Which of the following is a list of all the forces that act on a satellite in a circular orbit…

A: The answer is below

Q: A child is standing on the edge of a 3-meter radius merry-go-round that is spinning at a constant…

A: The magnitude of the centripetal acceleration is given by, ac=ω2r

Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

A: Data Given ,   Diameter of the circular path( d ) = 4.8 m So , Radius of the path ( r ) = d / 2 = (…

Q: Far from any other planet (S), two masses M, and M2 are separated by a distance R, as shown in the…

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Q: A 700 Kg satellite is placed h = 2.5 x 10^5 m above the earth. If the gravitational pull of earth is…

A: Fc = mv2/r  GMm/(Re+h)2 = mv2/(Re+h)

Q: ball is attached to a string that is 1.5 m long. It is spun so that it completes two full rotations…

A: Given  A ball is attached to a string that is 1.5 m long. It is spun so that it completes two full…

Q: Far from any other planet (S), two masses M, and M2 are separated by a distance R, as shown in the…

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Q: A man whose weight is 800 N on the Earth's surface is also in a spacecraft at a height of one…

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Q: .22×109m1.22×109m. What is the centripetal acceleration of Titan

A: Given: The time period of the titan is 16 days. The distance of the titan from Saturn is 1.22x109 m.

Q: Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed…

A: The above problem can be solved using the law of conservation of angular momentum. Using the law of…

Q: If gravity between Earth and an orbiting satellite suddenly vanished, the satellite would move in…

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Q: What is the speed of a satellite orbiting at the height of 2.6 x 10^6 m? Assume M earth = 5.98 x…

A: When a satellite orbit around the earth then the gravitational pull acts on its inward and the…

Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

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Q: 55 kg, moving at a speed of 7.2 m/s rounds a bend with a radius of 10 m. What is the centripetal…

A: Given data :                   Mass of the runner (m) = 55 kg                   Speed (v) = 7.2 m/s…

Q: Rank in order, from largest to smallest, the free-fall accelerations on the surfaces of the…

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!