A spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 2.3 x 106 kilometers before turning 70° and traveling 1.5 x 106 kilometers before assuming the path towards the space station. If the captain had not ordered a course correction, what would have been the magnitude (in kilometers) and direction (in degrees counterclockwise from the +x-axis) of the path of the spaceship if it had traveled through the nebula? magnitude direction spaceship km nebula space station B counterclockwise from the +x-axis www

A spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 2.3 x 106 kilometers before turning 70° and traveling 1.5 x 106 kilometers before assuming the path towards the space station. If the captain had not ordered a course correction, what would have been the magnitude (in kilometers) and direction (in degrees counterclockwise from the +x-axis) of the path of the spaceship if it had traveled through the nebula? magnitude direction spaceship km nebula space station B counterclockwise from the +x-axis www

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 69P: A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0...

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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
A light-year is the distance light travels in one year at speed =2.998*10^8m/s a) How many inches are there in 1.00 light-year? (b) The parsec is an astronomical unit of length approximately equal to 3.08×1016 m. How many light-years are there in 1.00 parsec?
After enjoying a big sandwich at Katz's Delicatessen, you decide to walk back to your luxury suite at the Waldorf-Astoria Hotel. First, you perambulate 0.15 mi at a polar angle of 160 degrees 0.15 mi angle 160^ ) . Next, you skedaddle 1.60 mi at a polar angle of 55 degrees (1.60 mi angle55^ ) . You follow this with a 0.55 mi jaunt at a polar angle of 150 degrees (0.55 mi angle150^ ) Finally, you be-bop 0.82 mi at a polar angle of 60 degrees (0.82 mi angle 60^ ) . What is the overall displacement from your starting point at Katz's Delicatessen? Express your answer in polar notation.
A spaceship travels through deep space to a space station and needs to make a heading correction to get around a nebula. The captain orders the ship to travel 3.1 x 106 kilometers before turning 70 ° and to travel 2.5 x 106 kilometers in that direction. If the captain had not ordered a heading correction, what would have been the magnitude (in kilometers) and the direction (in degrees counterclockwise from the + x-axis) (Counter clockwise: counterclockwise) of the trajectory of the spaceship if it had traveled through the nebula?
A car is driving on a circular track with a radius of 1 (km). In the point in south (sin((3π)/2)) on the field is a radar meter. At a given time, the car is 1/2 km from the radar meter (in air measurement)and the distance between the car and the meter increases by 50 km / h. How fast driving the car north? (hint: the car will also have an east / west movement, but here it is only asked about the north / south movement)
A camel takes N steps while walking directly between two towns located on the same longitude, and whose latitudes differ by 0 degrees. The camel takes S steps to cross a stadium. Express the Earth's circumference C (in units of stadia) in terms of N, 0, and S.
A person’s arm rotates around the shoulder (S) and elbow (E) joint axes. The arm has the length a = 9 1/2", the forearm has the length b = 11". The shoulder joint angle is θ = 43°. The elbow joint angle is γ = 21°. a) Compute the Cartesian coordinates of the endpoint H by using a+b. b) Identify the origin of your reference frame.
All the stars of the Big Dipper (part of the constellation Ursa Major) may appear to be the same distance from the earth, but in fact they are very far from each other. the figure shows the distances from the earth to each of these stars. The distances are given in light-years (ly), the distance that light travels in one year. One light-year equals 9.461 × 1015 m.. Dubhe 105 ly Megrez 81 ly Mizar 73 ly Alioth Merak 64 ly ע דר Alkaid Phad 138 ly 80 ly Part A Alkaid and Merak are 25.6° apart in the earth's sky. Find the distance in light- years from Alkaid to Merak. Express your answer in light-years. ΑΣφ ? ly Submit Request Answer Part B To an inhabitant of a planet orbiting Merak, how many degrees apart in the sky would Alkaid and our sun be? Express your answer in degrees. ? Submit Request Answer
Light speed c = 3.0* 108 m/s. A light year is a distance light travels in one year. Calculate a light-year in [a] km and [b] Mile
All of the stars of the Big Dipper (part of the constellation Ursa Major) may appear to be the same distance from the earth, but in fact they are very far from each other. Figure shows the distances from the earth to each of these stars. The distances are given in light-years (ly), the distance that light travels in one year. One light-year equals 9.461 * 1015 m. (a) Alkaid and Merak are 25.6 apart in the earth’s sky. In a diagram, show the relative positions of Alkaid, Merak, and our sun. Find the distance in light-years from Alkaid to Merak. (b) To an inhabitant of a planet orbiting Merak, how many degrees apart in the sky would Alkaid and our sun be?
I have already figured out Part A. I just need help with Part B. I have determined that Part B would be 54.3 degrees North of West, but the problem is asking for the degress West of North. Thanks!
A surveyor needs to find the distance across a straight river. Markers are set up at points A and B on opposite sides of the river (see diagram), and at point CC that is 290 feet from B, the angle C is measured and found to be 45∘19.8′You may assume angle B is a right angle. The distance from A to B is feet.