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 71AP
You fly 32.0 km in a straight line in still air in the direction
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You fly 32.0 km in a straight line in still air in the direction 35.0° south of west. (a) Find the distances you would have to fly due south and then due west to arrive at the same point. (b) Find the distances you would have to fly first in a direction 45.0° south of west and then in a direction 45.0° west of north. Note these are the components of the displacement along a different set of axes—namely, the one rotated by 45° with respect to the axes in (a).
An engineer designs a roller coaster so that a car travels horizontally for 202 ft, then climbs 137 ft at an angle of 34.0° above the
horizontal. It then moves 137 ft at an angle of 40.0° below the horizontal. If we take the initial horizontal motion of the car to be
along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures
and give the direction of your answer in degrees counterclockwise from the +x-axis.)
magnitude
ft
direction
Need Help?
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counterclockwise from the +x-axis
An engineer designs a roller coaster so that a car travels horizontally for 172 ft, then climbs 147 ft at an angle of 32.0° above the horizontal. It then moves 147 ft at an
angle of 48.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your
answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)
magnitude
396.267 ft
direction
355.463
° counterclockwise from the +x-axis
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...
Ch. 2 - Check Your Understanding For the vectors given in...Ch. 2 - Check Your Understanding For vector in a...Ch. 2 - Check Your Understanding Find the angle between...Ch. 2 - Check Your Understanding How much work is done by...Ch. 2 - Check Your Understanding For the vectors given in...Ch. 2 - Check Your Understanding Given two vectors and ,...Ch. 2 - Scalars and Vectors A weather forecast states the...Ch. 2 - Which of the following is a vector a person’s...Ch. 2 - Give a specific example of a vector, stating its...Ch. 2 - What do vectors and scalars have in common? How do...Ch. 2 - Suppose you add two vectors A and B . What...Ch. 2 - Is it possible to add a scalar quantity to a...Ch. 2 - Is it possible for two vectors of different...Ch. 2 - Does the odometer in an automobile indicate a...Ch. 2 - When a 10,000-rn runner competing on a 400-rn...Ch. 2 - A vector has zero magnitude. Is it necessary to...Ch. 2 - Can a magnitude of a vector be negative?Ch. 2 - Can the magnitude of a particle’s displacement be...Ch. 2 - If two vectors are equal, what can you say about...Ch. 2 - If three vectors sum up to zero, si1at geometric...Ch. 2 - Give an example of a nonzero vector that has a...Ch. 2 - Explain why a vector cannot have a component...Ch. 2 - If two vectors are equal, what can you say about...Ch. 2 - If vectors A and B are orthogonal, what is the...Ch. 2 - If one of the two components of a vector is not...Ch. 2 - If two vectors have the same magnitude, do their...Ch. 2 - What is wrong with the following expressions? How...Ch. 2 - If the cross product of two vectors vanishes, what...Ch. 2 - If the dot product of two vectors vanishes, what...Ch. 2 - What is the dot product of a vector with the cross...Ch. 2 - A scuba diver makes a slow descent into the depths...Ch. 2 - In a tug-of-war game on one campus, 15 students...Ch. 2 - Suppose you walk 18.0 m straight west and then...Ch. 2 - For the vectors given in the following figure, use...Ch. 2 - A delivery man starts at the post office, chives...Ch. 2 - An adventurous dog strays from home, runs three...Ch. 2 - In an attempt to escape a desert island, a...Ch. 2 - A small plane flies 40.0 km in a direction 60...Ch. 2 - A trapper walks a 5.0-km straigt4ine distance from...Ch. 2 - A surveyor measures the distance across a river...Ch. 2 - A pedestrian walks 6.0 km east and then 13.0 km...Ch. 2 - The magnitudes of two displacement vectors are...Ch. 2 - Assuming the +x -axis is horizontal and points to...Ch. 2 - Suppose you walk 18.0 m straight west and then...Ch. 2 - You drive 7.50 km in a straight line in a...Ch. 2 - A sledge is being pulled by two horses on a flat...Ch. 2 - A trapper walks a 5.0-lan straight-line distance...Ch. 2 - The polar coordinates of a point are 4/3and 5.50...Ch. 2 - Two points in a plane have polar coordinates...Ch. 2 - A chameleon is resting quietly on a lanai screen,...Ch. 2 - Two points in the Cartesian plane are...Ch. 2 - A fly enters through an open window and zooms...Ch. 2 - For vectors and , calculate (a) and its magnitude...Ch. 2 - A particle undergoes three consecutive...Ch. 2 - Given two displacement vectors...Ch. 2 - A small plane flies 40.0 km ma direction 60 north...Ch. 2 - In an attempt to escape a desert island, a...Ch. 2 - Assuming the +x -axis is horizontal to the right...Ch. 2 - Given the vectors in the preceding figure, find...Ch. 2 - A delivery man starts at the post office, drives...Ch. 2 - An adventurous dog strays from home, runs three...Ch. 2 - If , and , find the unknown constants a and b such...Ch. 2 - Given the displacement vector , find the...Ch. 2 - Find the unit vector of direction for the...Ch. 2 - At one point in space, the direction of the...Ch. 2 - A barge is pulled by the two tugboats shown in the...Ch. 2 - In the control tower at a regional airport, an air...Ch. 2 - Assuming the axis is horizontal to the right for...Ch. 2 - Assuming the +x-axis is horizontal to the right...Ch. 2 - Find the angle between vectors for (a)...Ch. 2 - Find the angles that vector makes with the and...Ch. 2 - Show that the force vector is orthogonal to the...Ch. 2 - Assuming the +x-axis is horizontal to the right...Ch. 2 - Find the cross product for (a) and (b) and (c) and...Ch. 2 - For the vectors in the earlier figure, find (a)...Ch. 2 - (a) If AF=BF , can we conclude A=B ? (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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