For each of the following questions, give an example if your answer is yes. Explainwhy not if your answer is no. (a) Is it possible to take a trip in which the distance covered is less than the magnitude of the displacement? (b) Is it possible to take a trip inwhich the distance covered is greater than the magnitude of the displacement?

For each of the following questions, give an example if your answer is yes. Explainwhy not if your answer is no. (a) Is it possible to take a trip in which the distance covered is less than the magnitude of the displacement? (b) Is it possible to take a trip inwhich the distance covered is greater than the magnitude of the displacement?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 38P: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your...

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QUESTION 1 Select the characteristics of a vector quantity. O Comparison between two vector quantities are complex. It follows ordinary algebra. | It cannot be resolved in different directions. O It has both magnitude and direction.
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Can someone please help with the following questions? I've attached the pictures below. I appreciate it! For the problem that asks about the meaning of of p0, I already have the answer for that, I just need help with part b.
A driver takes a wrong turn at an intersection and travels 2.6 km north, then 8.7 km east and finally 7.5 km south. What is his displacement from the intersection? Enter your answers without units, correct to three significant digits. (a) The magnitude of the displacement is: This question accepts numbers or formulas. Help | Switch to Equation Editor | Preview (b) The direction of the displacement is: Enter your answer in standard position as an angle in degrees such that 0º < 0< 360°
Problem 2. Vectors y 0, X Consider a vector E pointed into the second quadrant' of the Cartesian x-y coordinate plane, as pictured above. Consider the vector E pictured above and assume it is meant to represent some physical vector quantity we're studying. Since I've not specified what sort of physical quantity this vector is supposed to represent (perhaps it might be a force vector, a velocity vector, etc.), we'll leave it vague (but also recognize that the numerical values we record for physical quantities typically have units of measurment) and we'll just say that its units are simply called units. Suppose the magnitude, E, of E is given by E = 30.00 units, and suppose the angles drawn in the above figure are given by 0 = 60.00° and ø = 30.00°. (a.) What are the x- and y-components of vector E, pictured above, in terms of the angle 0 and the magnitude E? (b.) For the same vector, what are the x- and y-components in terms of the angle o and the magnitude E? (c.) What would these…
Choose the correct response to make the sentence true: A component of a vector is(a) always(b) never(c) sometimeslarger than the magnitude of the vector. Explaing your reasoning for the answer.
A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?
between points in a plane do not change when a coordinate system is rotated In other words, the magnitude of a vector Is invariant under rotations of the coordinate system. Suppose a coordinate system S is rotated about its origin by angle to become a new coordinate system S’, as shown in the following figure. A point in a plane has coordinates (x,y)in S and coordinates (x,y) in S’. (a) Show that, during the transformation of rotation, the coordinates in S are expressed in terms of the coordinates in S by the following relations: {x=xcos+ysiny=xsin+ycos (b) Show that the distance of point Pto the origin is invariant under rotations of the coordinate system. Here, you have to show that x2+y2=x2+y2. (c) Show that the distance between points Pand Q is invariant under rotations of the coordinate system. Here, you have to show that ( xP =xQ )2+( yP yQ )2=( xP =xQ )2+( yP yQ )2 .
A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?
Check Your Understanding Two motorboats named Alice and Bob are moving on a lake. Given the information about their velocity vectors in each of the following situations, Indicate whether their velocity vectors are equal or otherwise. (a) Alice moves north at 6 knots and Bob moves west at 6 knots. (b) Alice moves west at 6 knots and Bob moves west a 3 knots. (C) Alice moves northeast at 6 knots and Bob moves south at 3 knots. (d) Alice moves northeast at 6 knots and Bob moves southwest a 6 knots. (e) Alice moves northeast at 2 knots and Bob moves closer to the shore northeast at 2 knots.
You are on the plane neptune and want to determine the acceleration due to gravity, g. You have a stopwatch and a toy gun that can launch a ping pong ball vertically upwards with an initial velocity of 7.5 m/s. Describe, in words, how you would perform an experiment to determine the acceleration due to gravity. Be sure to describe the variables you would measure, the equations you would use and the assumptions you would make. Make sure to include a diagram of the physical situation, label know and unknown quantities with units, coordinate system. Thanks!
A child rides a pony on a circular track whose radius is 4.5 m.(a) Find the distance traveled and the displacement when the child has gone halfwayaround the track.(b) How does the distance traveled change while the child completes one circuit of thetrack? Explain.(c) How does the displacement change while the child completes one circuit of thetrack? Explain.(d) Find the distance and displacement after a complete circuit of the track.