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- 10:24 P 62% ACSEE Physics - F5 - T2 - Mechanics.pdf Gravitational Potential of the Earth. Gravitational Field Strength of the Earth. How are the above quantities in and related? • (1999) Show that the total energy of a satellite in a circular orbit equals half its potential energy. • (1999) Calculate the height above the Earth's surface for a satellite in a parking orbit. • (1999) What would be the length of a day if the rate of rotation of the Earth were such that the acceleration of gravity g =0 at the equator? • (2007) Evaluate the work done by the Earth's gravitational force and by the tension in the string as the ball moves from its highest to its lowest point. • (2007) Two small spheres each of mass 10g are attached to a light rod 50 cm long. The system Is set into oscillation and the period of torsional oscillation is found to be 770 seconds. To produce maximum torsion to the system two large spheres each of mass 10 kg are placed near each suspended the distance between the…m A person is pushing a wooden crate of mass mo = 20 kg at a constant speed vo = 1.2– for Ax = 3 m along a rough horizontal floor that has a coefficient of friction µk = .4.2. For a satellite in a circular orbit around the earth, the gravitational force from the earth on the satellite causes the centripetal acceleration. The amount of work done by the gravitational force from the earth on the satelliteA) is zeroB) is greater than zero.C) is less than zero.D) would be different if the masses of the earth and satellite were different.E) can’t be determined without a calculator and some data.i. Prove your answer by using the formula for work, W: (Hint: Consider just a short segment of the orbit, rather than the full revolution.) ii. Prove your answer by talking about the satellite’s kinetic energy, ∆?� ***also please do it i,ii and write a process detail.
- 2. A particle moves along line segments from the point (2,0,0) to the points (2,2, 2), (0,2,2), and back to (2,0,0) under the influence of the force field F(x, y, z)= 2e'i+(3z + 4x)j+(y+3x)k Find the work done.C7 9.) If the orbit is elliptical, rather than circular, what can be said about the work done by the Sun on Earth? a.) It does not matter whether the orbit is circular or elliptical, no work is done. b.) The work the Sun does on Earth causes the tides. c.) Whether the orbit is circular or elliptical, work must be done to propel Earth around the Sun. d.) If the orbit is elliptical, work is done to speed up or to slow down Earth, depending on its location in orbit. e.) The work the Sun does on Earth accounts for Earth's changes of season.14. A 920-kg satellite is projected vertically upward from Earth's surface with an initial kinetic energy of 7.0 × 10° J. Find a) its maximum height. b) the initial kinetic energy it would have needed to keep going indefinitely. c) the initial speed it would have needed to keep going indefinitely.
- 34. For a body moving in a circular path, the work done by the centripetal force is O positive negative O zero O infinite1. The Hubble space telescope orbits the Earth at an altitude of approxi- mately 600 kilometers and has a mass of 1.11 × 104 kg. (a) be pulled down to the surface of the Earth. Ignoring all air resistance, determine the speed with which the telescope would impact the Earth. Use mgh as the gravitational potential energy, where m is the mass of the telescope, g = 9.81 m/s? (the acceleration due to gravity at the surface of the Earth), and h is the distance the Hubble space telescope were to come to an abrupt stop it would above the surface of the Earth. (b) gravitational potential energy, Ug = -GmM/r, where G is Newton's gravitational constant, m is the mass of the telescope, M is the mass of the Earth, and r is the distance from the center of the Earth to the Hubble telescope. Repeat the calculation from Part (a) using the actual expression for the