University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 2, Problem 81AP
If the velocity vector of a polar bear is
and 
are directions to geographic east and north, respectively.
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Students have asked these similar questions
As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 63.0° north of west with a speed of 40.2 km/h. (Let i represent
east and j represent north.)
(a) What is the unit-vector expression for the velocity of the hurricane?
km/h i+
km/hi
It maintains this velocity for 3.50 h, at which time the course of the hurricane suddenly shifts due north, and its speed slows to a constant 25.2 km/h.
This new velocity is maintained for 1.50 h.
(b) What is the unit-vector expression for the new velocity of the hurricane?
km/h j
km/h i+
(c) What is the unit-vector expression for the displacement of the hurricane during the first 3.50 h?
km i+
km j
(d) What is the unit-vector expression for the displacement of the hurricane during the latter 1.50 h?
km i+
km j
(e) How far from Grand Bahama is the eye 5.00 h after it passes over the island?
km
If a poodle is roaming in the direction N 38 degrees E at a speed of 2 mph . What is the poodle's velocity as a vector in i,j notation?
A pilot needs to fy to a destination 350 km north of his current position in 2.0 hours. An
air traffic controller tells him that the wind velocity (as seen on the ground) is 27 km/h
[E34 °S].
a) Sketch the overall vectors of the plane to the ground, the plane to the air and the
air to the ground. Write the equation for the velocity of the plane relative to the
ground with the appropriate subscripts.
b) What is the minimum speed that the pilot would need to fly if there was no
wind?
c) Determine the heading of the plane (in what direction must the pilot fly to
compensate for the wind?). Show your work. Label your vectors and label x and
y components.
d) Determine the speed of the plane with respect to air that the pilot would need to
take in order to reach the desired destination on time.
Chapter 2 Solutions
University Physics Volume 1
Ch. 2 - Check Your Understanding Two motorboats named...Ch. 2 - Check Your Understanding A cave diver enters a...Ch. 2 - Check Your understanding Using the three...Ch. 2 - Check your Understanding A blue fly lands on a...Ch. 2 - Check Your Understanding If the displacement...Ch. 2 - Check Your Understanding If Trooper runs 20 m west...Ch. 2 - Check Your Understanding If the average velocity...Ch. 2 - Check Your understanding Three displacement...Ch. 2 - Check Your Understanding Suppose that Balto in...Ch. 2 - Check Your Understanding Verify that vector v V...
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(b) If AF=BF...Ch. 2 - You fly 32.0 km in a straight line in still air in...Ch. 2 - Rectangular coordinates of a point are given by...Ch. 2 - If the polar coordinates of a point are (r,)and...Ch. 2 - Prob. 74APCh. 2 - Starting at the island of Moi in an unknown...Ch. 2 - An air traffic controller notices two signals from...Ch. 2 - Show that when A+B=C then A2+B2+2ABcos , where is...Ch. 2 - Four force vectors each have the same magnitude...Ch. 2 - A skater glides along a circular path of radius...Ch. 2 - A stubborn dog is being walked on a leash by its...Ch. 2 - If the velocity vector of a polar bear is u=(-18.0...Ch. 2 - Find the scalar components of three-dimensional...Ch. 2 - A diver explores a shallow reef off the coast of...Ch. 2 - A force vector A has x and y components,...Ch. 2 - Vectors A and B are two orthogonal vectors in the...Ch. 2 - For the three-dimensional vectors in the following...Ch. 2 - Show that (BC)A is the volume of the...Ch. 2 - Vector B is 5.0 cm long and vector A is 4.0 cm...Ch. 2 - What is the component of the force vector G=(3.0...Ch. 2 - The following figure shows a triangle formed by...Ch. 2 - between points in a plane do not change when a...
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