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show all steps please! thank you Problem 2. In the approximation that the Earth is a...
Task 2 (Gravitational Potential of the Earth) In good approximation, the earth can be regarded as a sphere of homogenous mass density with radius R and total mass M. The gravitational potential of a mass m which has a distance r to the center of the earth is given by GMm , r>R U(r) 2R where Eo and G are constants a) Calculate the force F(r) which acts on a mass m at the earth's surface Hint: The gradient of...
8. Imagine that Elon Musk has drilled a hole in the Earth vertically downward, al the way through the center of the Earth, and reaching the other side. The Earth has radius R- 6.4 × 106 m, so the hole has a total length 2R, and let's assume the Earth has constant density with total mass M 5.98 x 1024 kg. After completing the hole, a baseball of mass m 0.145 kg is dropped downwards into the hole. (a) Show...
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III, SIMPLE HARMONIC HECK (30 pts: 10 pts each piece), The statements immediately to follow (even when long and complicated) are considered in this context) GIVEN You may assume and rely on them for the problem/proof to follow a bit further down. Note: In some cases, "GIVEN' might mean 'self-evident' or 'obvious', but in other cases, it might not. GIVEN might not mean "obvious"; it can simply mean 'somehow established prior to this discussion'. GIVEN...
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For a circular merry-go-round, if the moment if inertia is 600 kgm^2, what angular acceleration does the 150 N force generate applied perpendicular to a radius of 2.0 meters? 6 rad/s^2 1.5 rad/s^2 0.5 rad/s^2 3 rad/s^2 2 rad/s^2 Two bowling balls (m_1 = 8 kg and m_2 = 6 kg) are separated by 0.5 meters, what is the gravitational force that bowling ball# 1 exerts on bowling ball...
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2. A solid uniform sphere and a uniform spherical shell, both having the same mass m and radius R, roll without slipping down a hill that rises at an angle ? above the horizontal. Both spheres start from rest at the same vertical height h 10.0 m. Given lem mR2 and sphere shelt S) () mR2. You may use energy (a) How fast is the solid sphere moving at...
4. Use Kepler's Second Law and the fact that L-fxp to determine at which points in an elliptical orbit around the Sun a planet has maximum and minimum speeds. (Section 13.5 will help.) 5. At the end of example 13.10, there's an "Evaluate" blurb about how inside the surface of the Earth the force of gravity varies proportionally to the distance from the center, and it makes reference to the next chapter. which is about oscillation. Model the motion of...
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1. Physics is used in many magic tricks. The diagram below shows a balancing rod that has a charge of +q and +2q on the ends. Directly beneath these charges charges, each +Q attached to the floor provide an upward force rod's charges. The magician's assistant must also lay down on this apparatus (indicated by the mass "W" in the diagram) are two other a) Where should this mass of...
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Part I: A solid sphere of mass M and radius R is released from rest on a ramp that makes an angle 0 with the horizontal. The sphere is initially distance d from the bottom of the ramp, and it rolls without slipping. Using the principle of energy conservation, find an expression for the speed v of the sphere when it reaches the bottom of the ramp. Your answer should be in terms of...
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a) The initial ratio of deuterium (D) to hydrogen (H) in a planet's atmosphere was 175000; however, the present ratio is 1/1500 and the initial and final abundances of D are 5 x 10° atoms per m3 and 9 x 106 atoms per m2, respectively. What fraction of deuterium has been lost, and what fraction of hydrogen has been lost in this...
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18. 0/10 points I Previous Answers SerPSET9 13.P065 My Notes Ask Your Teacl As an astronaut, you observe a small planet to be spherical. After landing on the planet, you set of, walking always straight ahead, and find yourself returning to your spacecraft from the opposite side after completing a lap of 24.2 km. You hold a hammer and a falcon feather at a height of 1.37 m, release them, and Determine the mass of the...