EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134285450
Author: GIANCOLI
Publisher: VST
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Calculate the dot product: A ∙ B, given that vectors A = 3i + 6j a nd B = 4i – 4j
(use - sign in answer, if needed
Given the points M(0.1, -0.2, -0.1), N(-0.2, 0.1, 0.3), and P(0.4, 0, 0.1), find: (a) the vector RMN; (b)the dot product RMN. RMP ; (c) the scalar projection of RMN on RMP; (d) the vector projection of RMN on RMP; (e) the angle between RMN on RMP.
Scalar or dot product of vectors 9i + 6j + - 4k and 1i + 3j + 0k?
Chapter 11 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 11.1 - Prob. 1AECh. 11.1 - Suppose you are standing on the edge of a large...Ch. 11.1 - CONCEPTUAL EXAMPLE 115 Spinning bicycle wheel....Ch. 11.1 - For the vectors A and B in the plane of the page...Ch. 11.2 - Prob. 1EECh. 11.2 - Prob. 1FECh. 11 - Can the diver of Fig. 112 do a somersault without...Ch. 11 - When a motorcyclist leaves the ground on a jump...Ch. 11 - Suppose you are sitting on a rotating stool...Ch. 11 - Prob. 4Q
Ch. 11 - A shortstop may leap into the air to catch a ball...Ch. 11 - If all the components of the vectors V1 and V2...Ch. 11 - A force F=Fj is applied to an object at a position...Ch. 11 - A particle moves with constant speed along a...Ch. 11 - If the net force on a system is zero, is the net...Ch. 11 - Explain how a child pumps on a swing to make it go...Ch. 11 - Describe the torque needed if the person in Fig....Ch. 11 - An astronaut floats freely in a weightless...Ch. 11 - On the basis of the law of conservation of angular...Ch. 11 - A wheel is rotating freely about a vertical axis...Ch. 11 - Consider the following vector quantities:...Ch. 11 - How does a car make a right turn? Where does the...Ch. 11 - In a rotating frame of reference. Newtons first...Ch. 11 - Why is it that at most locations on the Earth, a...Ch. 11 - In the battle of the Falkland Islands in 1914, the...Ch. 11 - Prob. 1MCQCh. 11 - Prob. 4MCQCh. 11 - Prob. 5MCQCh. 11 - Prob. 6MCQCh. 11 - Prob. 7MCQCh. 11 - Prob. 8MCQCh. 11 - Prob. 9MCQCh. 11 - Prob. 10MCQCh. 11 - Prob. 11MCQCh. 11 - Prob. 1PCh. 11 - Prob. 2PCh. 11 - (II) A nonrotating cylindrical disk of moment of...Ch. 11 - (II) A diver (such as the one shown in Fig. 112)...Ch. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - Prob. 8PCh. 11 - Prob. 9PCh. 11 - (II) A person of mass 75 kg stands at the center...Ch. 11 - (II) A person stands on a platform, initially at...Ch. 11 - Prob. 12PCh. 11 - Prob. 13PCh. 11 - (II) A woman of mass m stands at the edge of a...Ch. 11 - Prob. 15PCh. 11 - Prob. 16PCh. 11 - (II) A uniform horizontal rod of mass M and length...Ch. 11 - (II) Suppose our Sun eventually collapses into a...Ch. 11 - (III) Hurricanes can involve winds in excess of...Ch. 11 - Prob. 21PCh. 11 - (I) If vector A points along the negative x axis...Ch. 11 - (I) Show that (a) i i = j j = k k = 0. (b) i j...Ch. 11 - (I) The directions of vectors A and B are given...Ch. 11 - (II) What is the angle between two vectorsA and...Ch. 11 - Prob. 26PCh. 11 - (II) Consider a particle of a rigid object...Ch. 11 - Prob. 29PCh. 11 - (II) An engineer estimates that under the most...Ch. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - (I) What are the x, y, and z components of the...Ch. 11 - (I) Show that the kinetic energy K of a particle...Ch. 11 - (I) Calculate the angular momentum of a particle...Ch. 11 - (II) Two identical particles have equal but...Ch. 11 - Prob. 38PCh. 11 - Prob. 39PCh. 11 - Prob. 40PCh. 11 - (II) Four identical particles of mass m are...Ch. 11 - (II) Two lightweight rods 24 cm in length are...Ch. 11 - (II) Figure 1135 shows two masses connected by a...Ch. 11 - (III) Show that the total angular momentum L=ripi...Ch. 11 - Prob. 45PCh. 11 - Prob. 46PCh. 11 - (II) A thin rod of mass M and length is suspended...Ch. 11 - Prob. 48PCh. 11 - Prob. 49PCh. 11 - Prob. 50PCh. 11 - Prob. 51PCh. 11 - (III) A thin rod of mass M and length rests on a...Ch. 11 - (III) On a level billiards table a cue ball,...Ch. 11 - Prob. 54PCh. 11 - (II) A toy gyroscope consists of a 170-g disk with...Ch. 11 - Prob. 56PCh. 11 - Prob. 57PCh. 11 - Prob. 58PCh. 11 - Prob. 60PCh. 11 - Prob. 61PCh. 11 - (II) Suppose the man at B in Fig. 1126 throws the...Ch. 11 - (II) For what directions of velocity would the...Ch. 11 - (III) We can alter Eqs. 1114 and 1115 for use on...Ch. 11 - (III) An ant crawls with constant speed outward...Ch. 11 - A thin string is wrapped around a cylindrical hoop...Ch. 11 - Prob. 67GPCh. 11 - Prob. 68GPCh. 11 - Why might tall narrow SUVs and buses be prone to...Ch. 11 - A projectile with mass m is launched from the...Ch. 11 - Prob. 71GPCh. 11 - Prob. 72GPCh. 11 - Prob. 73GPCh. 11 - Prob. 74GPCh. 11 - Prob. 75GPCh. 11 - Prob. 76GPCh. 11 - Prob. 77GPCh. 11 - Prob. 78GPCh. 11 - A particle of mass m uniformly accelerates as...Ch. 11 - Prob. 80GPCh. 11 - Most of our Solar Systems mass is contained in the...Ch. 11 - Competitive ice skaters commonly perform single,...Ch. 11 - Prob. 84GPCh. 11 - A baseball bat has a sweet spot where a ball can...Ch. 11 - Prob. 86GP
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- Show that when A+B=C then A2+B2+2ABcos , where is the angle between vectors A and B .arrow_forwardAnswer the preceding problem using polar coordinates.arrow_forward6:16 1 0令ll困 6. Find the dot product of two vectors AB Use all the information presented by the graph. (A)8.6 (B)3.5 (C)-18.6 (D)-17.5 (E)9.4 A = 6.7 279 65° B= 4.5 a C d. e 7. Two vectors are given as follows: A = -3i + 6j - 5k B- -2i + 3j +k The dot product i i equals: (A) -12 (B) 10 (C) 25 (D) 19 (E) 20 a d.arrow_forward
- Given the vectors A = (8i + 4j - 2k) N B = (2j + 6k) m C = (3i - 2j + 4k) m Calculate the following: (a) the dot product of vectors A and B; (b) the projected component of B in the direction of C; (c) the angle between B and C.arrow_forwardFind the scalar product between the vectors ? = 5?̂ + 6?̂ + 1? y ? = −3?̂ + 4?̂ − 8?. What is the angle between these two vectors?arrow_forwardThe scalar product of vectors A and B is zero, therefore * . O vectors A and B are equal O vectors A and B are parallel in the same direction O vectors A and B are 180 degrees opposite in direction O vectors A and B are perpendiculararrow_forward
- what is the dot product of C and E, if C = 3.45i - 3.5j + 3.48k and E = -3.6i - 7.11j + 3.13k?arrow_forwardUsing the definition of the scalar product, find the angles between (a) A = 3î – 2j and B = 4i – 4j, (b) Ả= -2î + 4ĵ and B= 3î - 4ĵ + 2k, and (c)A=î - 2j + 2k and B 3j + 4k.arrow_forwarddetermine the dot product of the vector (A) = 6.0 (i) + 4.0 (j) - 2.0 (k) and the vector (B) = 5.0 (i) - 6.0 (j) -3.0 (k)arrow_forward
- 30. Two vectors lie with their tails at the same point. When the angle between them is increased by 20° their scalar product has the same magnitude but changes from positive to negative. The original angle between them was: A. 0 В. 60° С. 70° D. 80° Е. 90°arrow_forwardThe figure shows a thin rod, of length L - 1.80 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m - 9.50 kg is attached to the other end. The rod is pulled aside to angle 80-14.0° and released with initial velocity - O. As the ball descends to its lowest point, (a) how much work does the gravitational force do on it and (b) what is the change in the gravitational potential energy of the ball-Earth system? (c) If the gravitational potential energy is taken to be zero at the lowest point, what is its value just as the ball is released? 0 L bre Marrow_forwardb) A force of magnitude 33 N and with fixed orientation displaces a particle through 5√2 m angle from its original position. If the change in the particle's kinetic energy is 55 J, fi- between the force and the displacement.arrow_forward
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