Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 7, Problem 7.5OQ
To determine
Rank from the largest to the smallest the following dot products.
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Two vectors have the following magnitude, A = 8.7 m and B = 10.6 m. Their vector product is:
A:B = -2.7 m i+ 8.6 m k.
What is the angle (in degrees) between the vectors A and B?
Hint: Use
|A:B| = AB sin(0)
Note: Bold face letters represents a vector.
Two vectors have the following magnitude, A= 10.7 m and B = 9.8 m. Their vector product is:
AxB = -4.2 mi+7.5 m k.
What is the angle (in degrees) between the vectors A and B?
Hint: Use
Note: Bold face letters represents a vector.
|AxB| = AB sin(0)
Using the scalar product of two vectors, determine the angle between the two vectors listed below:
A = −7î +9ĵ + 2k
B = 5î - 6ĵ + 9k
Express your answer in degrees and use zero decimal places.
Answer:
Chapter 7 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 7 - Prob. 7.1QQCh. 7 - Figure 7.4 shows four situations in which a force...Ch. 7 - Which of the following statements is true about...Ch. 7 - A dart is inserted into a spring-loaded dart gun...Ch. 7 - A dart is inserted into a spring-loaded dart gun...Ch. 7 - Choose the correct answer. The gravitational...Ch. 7 - A ball is connected to a light spring suspended...Ch. 7 - What does the slope of a graph of U(x) versus x...Ch. 7 - Alex and John are loading identical cabinets onto...Ch. 7 - If the net work done by external forces on a...
Ch. 7 - A worker pushes a wheelbarrow with a horizontal...Ch. 7 - A cart is set rolling across a level table, at the...Ch. 7 - Prob. 7.5OQCh. 7 - Is the work required to be done by an external...Ch. 7 - A bloc k, of mass m is dropped from the fourth...Ch. 7 - An a simple pendulum swings back and forth, the...Ch. 7 - Bullet 2 has twice the mass of bullet 1. Both are...Ch. 7 - Figure OQ7.10 shows a light extended spring...Ch. 7 - If the speed of a particle is doubled, what...Ch. 7 - Prob. 7.12OQCh. 7 - Prob. 7.13OQCh. 7 - A certain spring that obeys Hookes law is...Ch. 7 - A cart is set rolling across a level table, al the...Ch. 7 - An ice cube has been given a push and slides...Ch. 7 - Can a normal force do work? If not, why not? If...Ch. 7 - Object 1 pushes on object 2 as the objects move...Ch. 7 - A student has the idea that the total work done on...Ch. 7 - (a) For what values of the angle between two...Ch. 7 - Prob. 7.5CQCh. 7 - Discuss the work done by a pitcher throwing a...Ch. 7 - Prob. 7.7CQCh. 7 - If only one external force acts on a particle,...Ch. 7 - Prob. 7.9CQCh. 7 - Prob. 7.10CQCh. 7 - A certain uniform spring has spring constant k....Ch. 7 - Prob. 7.12CQCh. 7 - Does the kinetic energy of an object depend on the...Ch. 7 - Cite two examples in which a force is exerted on...Ch. 7 - A shopper in a supermarket pushes a cart with a...Ch. 7 - A raindrop of mass 3.35 10-5 kg falls vertically...Ch. 7 - In 1990, Walter Arfeuille of Belgium lifted a...Ch. 7 - The record number of boat lifts, including the...Ch. 7 - A block of mass m = 2.50 kg is pushed a distance d...Ch. 7 - Spiderman, whose mass is 80.0 kg, is dangling on...Ch. 7 - Prob. 7.7PCh. 7 - Vector A has a magnitude of 5.00 units, and vector...Ch. 7 - Prob. 7.9PCh. 7 - Find the scalar product of the vectors in Figure...Ch. 7 - A force F = (6i 2j) N acts on a panicle that...Ch. 7 - Using the definition of the scalar product, find...Ch. 7 - Lei B = 5.00 m at 60.0. Let the vector C have the...Ch. 7 - The force acting on a panicle varies as shown in...Ch. 7 - A particle is subject to a force Fx that varies...Ch. 7 - In a control system, an accelerometer consists of...Ch. 7 - When a 4.00-kg object is hung vertically on a...Ch. 7 - Hookes law describes a certain light spring of...Ch. 7 - An archer pulls her bowstring back 0.400 m by...Ch. 7 - A light spring with spring constant 1 200 N/m is...Ch. 7 - A light spring with spring constant k1 is hung...Ch. 7 - Express the units of the force constant of a...Ch. 7 - A cafeteria tray dispenser supports a stack of...Ch. 7 - A light spring with force constant 3.85 N/m is...Ch. 7 - A small particle of mass m is pulled to the top of...Ch. 7 - The force acting on a particle is Fx = (8x 16),...Ch. 7 - When different loads hang on a spring, the spring...Ch. 7 - A 100-g bullet is fired from a rifle having a...Ch. 7 - A force F = (4xi + 3yj), where F is in newtons and...Ch. 7 - Review. The graph in Figure P7.20 specifies a...Ch. 7 - A 3.00-kg object has a velocity (6.00i - 2.00j)...Ch. 7 - Prob. 7.32PCh. 7 - A 0.600-kg particle has a speed of 2.00 m/s at...Ch. 7 - A 4.00-kg particle is subject to a net force that...Ch. 7 - A 2 100-kg pile driver is used to drive a steel...Ch. 7 - Review. In an electron microscope, there is an...Ch. 7 - Review. You can think of the workkinetic energy...Ch. 7 - Review. A 7.80-g bullet moving at 575 m/s strikes...Ch. 7 - Review. A 5.75-kg object passes through the origin...Ch. 7 - A 1 000-kg roller coaster car is initially at the...Ch. 7 - A 0.20-kg stone is held 1.3 m above the top edge...Ch. 7 - A 400-N child is in a swing that is attached to a...Ch. 7 - A 4.00-kg particle moves from the origin to...Ch. 7 - (a) Suppose a constant force acts on an object....Ch. 7 - A force acting on a particle moving in the xy...Ch. 7 - An object moves in the xy plane 111 Figure P7.43...Ch. 7 - Prob. 7.47PCh. 7 - Why is the following situation impossible? A...Ch. 7 - A potential energy function for a system in which...Ch. 7 - A single conservative force acting on a particle...Ch. 7 - A single conservative force acts on a 5.0-kg...Ch. 7 - For the potential energy curve shown in Figure...Ch. 7 - A right circular cone can theoretically be...Ch. 7 - The potential energy function for a system of...Ch. 7 - Prob. 7.55APCh. 7 - A particle moves along the xaxis from x = 12.8 m...Ch. 7 - Two identical steel balls, each of diameter 25.4...Ch. 7 - When an object is displaced by an amount x from...Ch. 7 - A 6 000-kg freight car rolls along rails with...Ch. 7 - Why is the following situation impossible? In a...Ch. 7 - Prob. 7.61APCh. 7 - The spring constant of an automotive suspension...Ch. 7 - An inclined plane of angle = 20.0 has a spring of...Ch. 7 - An inclined plane of angle has a spring of force...Ch. 7 - (a) Take U = 5 for a system with a particle at...Ch. 7 - A particle of mass m = 1.18 kg is attached between...Ch. 7 - Review. A light spring has unstressed length 15.5...
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- Which of the following statements is true about the relationship between the dot product of two vectors and the product of the magnitudes of the vectors? (a) AB is larger than AB. (b) AB is smaller than AB. (c) AB could be larger or smaller than AB, depending on the angle between the vectors. (d) AB could be equal to AB.arrow_forwardThe polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?arrow_forwardFind the angle between vectors for (a) D=(-3.0i-4.0j)m and A=(-3.0i+4.0j)m and (b) D=(2.0i+4.0j+K)m and B=(-2.0i+3.0j+2.0K)m .arrow_forward
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