We found the centripetal acceleration of the Earth as it revolves around the Sun. Compute the centripetal acceleration of a point on the surface of the Earth at the equator caused by the rotation of the Earth about its axis. (Enter the magnitude. The radius of the Earth is 6,371 km.)

Q: The Halley’s Comet regularly passes by the earth on its tour around the sun (at the time of Jesus’…

A: Given: The semi-major axis of the elliptical path is a=17.8AU. Halley’s last visit at our earth was…

Q: Satellite #1 and Satellite #2 are both in circular orbits around the Earth. The radius of Satellite…

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Q: What is Kepler's first law of planetary motion? The period of a planet's orbit is proportional to…

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Q: On a highway curve with radius 44 m, the maximum force of static friction (centripetal force) that…

A: Given : Radius of a curve (r) = 44 m Mass of a car (m) = 1173 kg Maximum frictional force (Fc) =…

Q: A comet goes around the sun in an elliptical orbit. At its farthest point, 345 million miles from…

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Q: The dwarf planet Praamzius is estimated to have a diameter of about 300 km and orbits the sun at a…

A: Given Dwarf planet diameter = 300 km

Q: Kepler’s First Law states that planetary orbits are ellipses with thesun at one focus. The orbit of…

A: The relation is  perihelion = a (1 - e)  aphelion  = a ( 1+e)

Q: If G = 6.674 ⨉ 10 −11m3/kg/s 2and M Earth= 5.972 ⨉ 10 24kg and the sidereal period of the Earth is…

A: Given : Mass of Earth: 5.972×1024 kg G=6.674×10-11 m3/kg/s Period T=27.32 days

Q: The earth moves in an elliptic orbit about the sun, with the sun at one focus. The least and…

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Q: Suppose humans are successful in living on the moon. They would need GPS just like on Earth to be…

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Q: A surveying satellite is moving around a planet in a circular motion (approximately).  If the…

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Q: The moon’s orbit is an ellipse with the earth at one focus. The length of the major axis is 478,000…

A: Given: The length of the major axis is 478000 miles. The eccentricity is 0.055.

Q: An object travels at a speed of 60 m/s in circular path of diameter 12 m. Its centripetal…

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Q: On a highway curve with radius 60 m, the maximum force of static friction (centripetal force) that…

A: Given :     Radius of curve, r = 60 m     Mass of car, m = 1073 kg     Maximum static frictional…

Q: A comet goes around the sun in an elliptical orbit. At its farthest point, 490 million miles from…

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Q: . The orbit of the Moon forms an ellipse with the Earth at one of the foci.  The length of the major…

A: We know Major Axis A=rmin+rmaxAnd…

Q: an object has a radius R and a velocity V and a mass M.What happens to centripetal when mass…

A: The initial centripetal acceleration of an object can be given as, ai=v2R                   ...... 1

Q: 1)The Moon takes 27.3 days to complete one revolution around the Earth (sidereal month). Assuming…

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

Q: Calculate the altitude needed for a circular, geosynchronous orbit (an orbit whose orbital period…

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Q: The Moon takes 27.3 days to complete one revolution around the Earth (sidereal month). Assuming the…

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Q: Let's say for the purpose of this question that a softball pitcher completes one perfect revolution…

A: To calculate the velocity of the ball as it travels around the arc, we can use the formula: v=2πrt…

Q: A comet goes around the sun in an elliptical orbit. At its furthest point, 450 million miles from…

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Q: Assume that you weigh a merchandise using a spring balance (as shown in the figure) at the equator…

A: To solve this question, we need to use the concept of variation of acceleration due to gravity g…

Q: Using Kepler's 3rd law, how long will it take a new planet that is 3.68 x 107 km to travel around…

A: Using Kepler's 3rd law, how long will it take a new planet that is 3.68 x 107 km to travel around…

Q: On a highway curve with radius 58 m, the maximum force of static friction (centripetal force) that…

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Q: Suppose a satellite (not the Moon) orbits Earth exactly every 30 days. Find its distance from Earth…

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Q: Asteroid Ondrea has a semi-major axis of 2.99 AU. What is Ondrea's orbital period in years about the…

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Q: The earth's radius is 6.37×106m6.37×106m; it rotates once every 24 hours. What is the speed of a…

A: Given: The earth's radius R = 6.37×106 m Time period, T= 24 hours   To determine: The speed of a…

Q: Earth’s mass is 6 x 1024 kg and it is located 150 million kilometers from the Sun.  Calculate the…

A: The gravitational force (FG) of the Sun (mass: M) on the Earth (mass: m), which is located at the…

Q: Diameter=900meters, a=9.8m/s^2, what is the revolution per minute?

A: Given Acceleration a = 9.8 m/s2 Diameter D = 900 m Radius r = D/2 = 450 m

Q: A new planet is discovered in our solar system with an orbital semimajor axis 35.5 times that of the…

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Q: How much centripetal force is needed to make a body of 0.5 kg to move in a circle of radius 50 cm…

A: Given: The mass of the object is 0.5 kg. The radius of the circle is 50 cm. The speed of the object…

Q: Use Kepler's 3rd law to find the orbital periods (assume circular orbits) for the inner planets…

A: Kepler's third law, also known as the law of harmonies, relates the orbital period (T) of a planet…

Q: The earth takes 365.256 days to go around the sun and 23 hours 56 min and 4.0905 s to revolve about…

A: Given:-  The earth takes 365.256 days to go around the sun and 23 hours 56 min and 4.0905 s to…

Q: The solar system has a planet with an orbital period T1b=1.51d and an orbital radius of…

A: According to Kepler's first law , every planet revolves around sun in an elliptical orbit with sun…

Q: Which of the following statements is supported by Kepler's laws of planetary motion?   Earth orbits…

A: First statement : Earth orbits the Sun at a constant speed, never speeding up or slowing down.…

Q: The planet Saturn orbits the Sun at an average distance of 888 million miles. Use  Kepler’s 3rd law…

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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.