A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 5 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.3 x 104 m/s. Its farthest distancefrom the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.)speed =m/s

Q. GIVEN THAT A comet is moving in elliptical orbit around the sun with Closest distance of comet…

Answered: comet is in an elliptical orbit around…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

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A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
Kepler's third law states that for any object in a gravitational orbit, P2∝a3P2∝a3 where PP is the orbital period of the object and aa is the average distance between the object and what it is orbiting. In our Solar System, the natural units are distances measured in astronomical units (A.U.) and orbital periods measured in years. This can be seen for the Earth-Sun system which has an orbital period P=1P=1 year and an average distance a=1a=1 AU. Using these natural units in the Solar System, the proportionality becomes an equality, so for our Solar System: (Pyears)2=(aA.U.)3(Pyears)2=(aA.U.)3 . Using your mathematical prowess, determine what the orbital period in years would be for an asteroid that was discovered orbiting the Sun with an average distance of 25 astronomical units.
Michael wants to demonstrate the sides of the triangle in terms of vectors. Given: AB= | (A x B dot C) | BC= | (B x C dot A) | AC= ( A dot B) A= 2i + 4j + 4k m B= 2i + 4j m C= 13.12i + 9.84j ft Determine: a.
A particle travels around a circular path having a radius of 38 m. If it is initially traveling with a speed of 10 m/s and its speed then increases at a rate of (0.05 v) m/s 2, determine the magnitude of the particle’s acceleration at t = 2 s. Round your answer to 2 decimal places
A youth of mass m = 36 kg is swinging on a swig. Length from upper bar of swing set to the set is L = 3.7 m. The kid is attempting to swing all the way around in full circle. What minimum speed, in meters per second must the kid be moving at the top of the circular path in order to make a full circle?
A skater with mass 66 kg is skating on a horizontal surface at a constant speed 4.2 m/s. There is a ramp ahead, and the skater has just enough speed to make it to the top of the ramp (meaning the speed at the top of the ramp is 0 m/s). What is the height of the ramp in the unit of meters? Use g = 10 m/s2 for the acceleration due to gravity.
The scalar product A · B of the two vectors A = 2i + 3j and B = i- 2j is * O 8 k O -4 O -4 k O 2i - 6j
(a) A spaceship is projected vertically upward from the Earth's surface with an initial speed of 6.96 km/s, but unfortunately does not have a great enough speed to escape Earth's gravity. What maximum height does the spaceship reach (in m)? Ignore air resistance. (b) A meteoroid falls from a height of 2.21 ✕ 107 m above the surface of the Earth. What is the speed (in m/s) when the meteorite hits the Earth? Assume the meteoroid is initially at rest with respect to the Earth. (Note that a meteorite is a meteoroid that makes it to Earth's surface.)
Suppose A = (-2.17 m)i + (3.57 m)j, B = (1.46 m)i + (-4.53 m)j + (2.66 m)k, and D = (-2.73 m)i + (-4.69 m)i.
4. Two are given by A = – 3i + 7j – 4k and vectors B = 6i – 10j + 9k. Evaluate the quantities (a) cos [A•B/AB] and (b) sin¬l[|A × B|/AB]. (c) Which give (s) the angle between the vectors?
Consider the following vectors: A = 4.6i + 1.4j+ 3.4k B = -6.5i + 7.lj+ 10.2k Part (a) What is the x-component of the vector V = 3(A × 2B)? Vx = - 59.16 Vx = -59.16 V Correct! Part (b) What is the y-component of the vector V = 3(A × 2B)? Vy - 414.09 Vy = -414.1 V Correct! Part (c) What is the z-component of the vector V = 3(A × 2B)? V,=250.56 V,=250.6 V Correct! Part (d) What is the magnitude of the vector V?
please answer both Severar vectors in the x-y plane are shown in the tigure with their tails at the origin of the coordinate system and with a label at their heads. Two of these vectors are given in terms of the unit-vectors i and j as P = (5.80i + 2.10j) and Q = (-1.10i + 4.40j), where the numbers are measured in meters. 4. 2. 1. -1 -2 -4 -5 6-5-4-3-2-1 12 3456 X (m) Identify vectors P and Q in the figure. The label of vector P on the figure is DALIOB: 2. C 3 D: 40E: SO 6 The tabel of vector Q on the figure is OA: 1108: 21 C: 3O0: 40 E: SOF 6 An electric point charge of Q, = 8.37 nC is placed at the origin of the real axis. Another point charge of Q2 = 4.25 nC is placed at a position of p = 3.58 m on the real axis. At which position can a third point charge of q -7.61 nC be placed so that the net electrostatic force on it is zero? (in m) OA: 1.449 OB: 1.637 0C: 1.85 OD: 2.09 OE: 2.362 OF: 2.669 OG: 3.016 OH: 3.408 Submit Answer Tries 0/20 This discussion is closed. Send Feedback ()

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