Suppose a large spherical object, such as a planet, withradius R and mass M has a narrow tunnel passingdiametrically through it. A particle of mass m is inside thetunnel at a distance x ≤R from the center. It can be shownthat the net gravitational force on the particle is due entirelyto the sphere of mass with radius r < x; there is no netgravitational force from the mass in the spherical shell withr> x.ΓΆΠΗFind an expression for the magnitude of the gravitational force on the particle, assuming the object has uniform density.Express your answer in terms of the variables x, R, m, M, and gravitational constant G.► View Available Hint(s)F=GmMxR³SubmitPart B✓ CorrectPrevious AnswersYou should have found that the gravitational force is a linear restoring force. Consequently, in the absence of air resistance, objects in the tunnelwill oscillate with SHM. Suppose an intrepid astronaut exploring a 180-km-diameter, 3.5 x 10¹8 kg asteroid discovers a tunnel through thecenter. If she jumps into the hole, how long will it take her to fall all the way through the asteroid and emerge on the other side?Express your answer in minutes.► View Available Hint(s)15. ΑΣΦt = 70SubmitProvinus Aneware Request Anewar?Reviewmin

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Description: Suppose a large spherical object, such as a planet, withradius R and mass M has a narrow tunnel passingdiametrically through it. A particle of mass m is inside thetunnel at a distance x ≤R from the center. It can be shownthat the net gravitational f

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Part B You should have found that the gravitational force is a linear restoring force. Consequently, in the absence of air resistance, objects in the tunnel will oscillate with SHM. Suppose an intrepid astronaut exploring a 180-km-diameter, 3.5 x 10¹8 kg asteroid discovers a tunnel through the center. If she jumps into the hole, how long will it take her to fall all the way through the asteroid and emerge on the other side? Express your answer in minutes. ▸ View Available Hint(s) 15. ΑΣΦ t = 70 Submit PAR Pravinne Aneware Daniet Anewar ? min

Part B You should have found that the gravitational force is a linear restoring force. Consequently, in the absence of air resistance, objects in the tunnel will oscillate with SHM. Suppose an intrepid astronaut exploring a 180-km-diameter, 3.5 x 10¹8 kg asteroid discovers a tunnel through the center. If she jumps into the hole, how long will it take her to fall all the way through the asteroid and emerge on the other side? Express your answer in minutes. ▸ View Available Hint(s) 15. ΑΣΦ t = 70 Submit PAR Pravinne Aneware Daniet Anewar ? min

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter10: Motion In A Noninertial Reference Frame

Section: Chapter Questions

Problem 10.13P

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