Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 9, Problem 21PQ
To determine
To compute the dot product
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
8) Consider two vectors À and B where:
A = -6.00 ¢ + 3.00 ¡ + 3.00 k
B = 6.00 1 - 8.00 ¡ + 4.00 k
If we want to find the angle between these two vectors, we have two options: we can use the magnitude of the dot product, or the magnitude of the cross product.
À • B = AB cos(e)
A x BI = AB sin(e)
However, these approaches give conflicting answers for the value of e.
a) What is the correct value of theta?
b) Why does the other formula give the wrong answer?
Q29-
AB
A and BIt is known as the scalar product of vectors. Which or which of the following are attributes of this product?1) The product of the product is a vector.II) The result depends on the angle between the two vectors.III) If the two vectors lie in exactly the opposite direction, the result is zero.OA)OB) I and IIIC)OD) IIIE) Il and III
A) Find the moment about line AB.
B) Find the perpendicular distance between line ABand the line of action of the force at E (using adot product with the result from 'A' ) and startingfrom scratch with a scalar triple product
Chapter 9 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 9.4 - In the three cases shown in Figure 9.11, a force...Ch. 9.6 - Prob. 9.2CECh. 9.6 - Prob. 9.3CECh. 9.7 - Prob. 9.4CECh. 9.7 - Prob. 9.5CECh. 9.9 - Prob. 9.6CECh. 9 - Pick an isolated system for the following...Ch. 9 - Prob. 2PQCh. 9 - Prob. 3PQCh. 9 - Prob. 4PQ
Ch. 9 - Prob. 5PQCh. 9 - Prob. 6PQCh. 9 - Prob. 7PQCh. 9 - A 537-kg trailer is hitched to a truck. Find the...Ch. 9 - Prob. 9PQCh. 9 - A helicopter rescues a trapped person of mass m =...Ch. 9 - Prob. 11PQCh. 9 - An object is subject to a force F=(512i134j) N...Ch. 9 - Prob. 13PQCh. 9 - Prob. 14PQCh. 9 - Prob. 15PQCh. 9 - Prob. 16PQCh. 9 - Prob. 17PQCh. 9 - Prob. 18PQCh. 9 - Prob. 19PQCh. 9 - Prob. 20PQCh. 9 - Prob. 21PQCh. 9 - Prob. 22PQCh. 9 - A constant force of magnitude 4.75 N is exerted on...Ch. 9 - In three cases, a force acts on a particle, and...Ch. 9 - An object of mass m = 5.8 kg moves under the...Ch. 9 - A nonconstant force is exerted on a particle as it...Ch. 9 - Prob. 27PQCh. 9 - Prob. 28PQCh. 9 - Prob. 29PQCh. 9 - A particle moves in the xy plane (Fig. P9.30) from...Ch. 9 - A small object is attached to two springs of the...Ch. 9 - Prob. 32PQCh. 9 - Prob. 33PQCh. 9 - Prob. 34PQCh. 9 - Prob. 35PQCh. 9 - Prob. 36PQCh. 9 - Prob. 37PQCh. 9 - Prob. 38PQCh. 9 - A shopper weighs 3.00 kg of apples on a...Ch. 9 - Prob. 40PQCh. 9 - Prob. 41PQCh. 9 - Prob. 42PQCh. 9 - Prob. 43PQCh. 9 - Prob. 44PQCh. 9 - Prob. 45PQCh. 9 - Prob. 46PQCh. 9 - Prob. 47PQCh. 9 - Prob. 48PQCh. 9 - Prob. 49PQCh. 9 - A small 0.65-kg box is launched from rest by a...Ch. 9 - A small 0.65-kg box is launched from rest by a...Ch. 9 - A horizontal spring with force constant k = 625...Ch. 9 - A box of mass m = 2.00 kg is dropped from rest...Ch. 9 - Prob. 54PQCh. 9 - Return to Example 9.9 and use the result to find...Ch. 9 - Prob. 56PQCh. 9 - Crall and Whipple design a loop-the-loop track for...Ch. 9 - Prob. 58PQCh. 9 - Calculate the force required to pull a stuffed toy...Ch. 9 - Prob. 60PQCh. 9 - Prob. 61PQCh. 9 - Prob. 62PQCh. 9 - An elevator motor moves a car with six people...Ch. 9 - Prob. 64PQCh. 9 - Figure P9.65A shows a crate attached to a rope...Ch. 9 - Prob. 66PQCh. 9 - Prob. 67PQCh. 9 - Prob. 68PQCh. 9 - Prob. 69PQCh. 9 - Prob. 70PQCh. 9 - Prob. 71PQCh. 9 - Estimate the power required for a boxer to jump...Ch. 9 - Prob. 73PQCh. 9 - Prob. 74PQCh. 9 - Prob. 75PQCh. 9 - Prob. 76PQCh. 9 - Prob. 77PQCh. 9 - Prob. 78PQCh. 9 - Prob. 79PQCh. 9 - A block of mass m = 0.250 kg is pressed against a...Ch. 9 - On a movie set, an alien spacecraft is to be...Ch. 9 - Prob. 82PQCh. 9 - A spring-loaded toy gun is aimed vertically and...Ch. 9 - Prob. 84PQCh. 9 - The motion of a box of mass m = 2.00 kg along the...Ch. 9 - Prob. 86PQCh. 9 - Prob. 87PQCh. 9 - Prob. 88PQ
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
Given a vector A=4.5+4.5j and a vector B=4.5+4.5j, determine the magnitude of the cross product of these two vectors, AB. Hint: Make a sketch of both vectors including a coordinate system.
arrow_forward
The two-dimensional vectors A and B both have magnitudes of 7.00 m. If A+B=4.00m, what is the angle between A and B?
arrow_forward
Some European trucks run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 400 π rad/s. One such flywheel is a solid, uniform cylinder with a mass of 620 kg and a radius of 1.24 m. (a) What is the kinetic energy of the flywheel after charging? (b) If the truck uses an average power of 6.3 kW, for how many minutes can it operate between chargings?
arrow_forward
Consider the vectors a = i + 8j + 4k and b = 7i − 6j − 6k, where i, j, and k are mutuallyperpendicular unit vectors forming a right-handed system.
(a) Calculate
(v) The vector product a × b.
(vi) The direction cosines of a.
arrow_forward
A)Determine the angular momentum of a 73-g particle about the origin of coordinates when the particle is at x = 4.8 m , y = -5.7 m , and it has velocity υ=(3.2i^−8.1k^)m/sFind the x-component.
Express your answer using two significant figures.
B)
Find the y-component.
Express your answer using two significant figures.
C)Find the zz-component.
arrow_forward
A parent exerts a torque on a merry-go-round at a park. The torque has a magnitude given by =322+120145, where the torque has units of newton meters when is in units of radians. a. How much work is performed by the torque as the merry-go-round rotates through 1.75 revolutions, beginning at i=0? b. If it takes the merry-go-round 4.51 s to go through the 1.75 revolutions, what is the power transferred by the parent to the ride?
arrow_forward
A cart filled with sand rolls at a speed of 1.0 m/s along a horizontal path without friction. A ball of mass m = 2.0 kg is thrown with a horizontal velocity of 8.0 m/s toward the cart as shown in Figure P11.79. The ball gets stuck in the sand. What is the velocity of the cart after the ball strikes it? The mass of the cart is 15 kg. FIGURE P11.79 Problems 79 and 80.
arrow_forward
Estimate the kinetic energy of the following: a. An ant walking across the kitchen floor b. A baseball thrown by a professional pitcher c. A car on the highway d. A large truck on the highway
arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning