Explanation Given info: The unit vector N ^ represents the direction horizontally north and the unit vector NE ^ represent northeast. The angle between unit vector N ^ and N ^ is 0 ° , N ^ and NE ^ is 45 ° , N ^ and S ^ is 180 ° , N ^ and E ^ is 90 ° , SE ^ and S ^ is 45 ° . The figure is shown below. Figure (1) Write the expression of the dot product of the two vectors a and b. a ⋅ b = | a | | b | cos θ (1) Here, θ is the angle between the vector a and vector b . Substitute N ^ for a , N ^ for b and 0 ° for θ in the above expression for the value of N ^ ⋅ N ^ . N ^ ⋅ N ^ = | N ^ | | N ^ | cos 0 ° = 1 Substitute N ^ for a , NE ^ for b and 45 ° for θ in the equation (1) for the value of N ^ ⋅ NE ^ . N ^ ⋅ NE ^ = | N ^ | | NE ^ | cos 45 ° = 0.7071 Substitute N ^ for a , S ^ for b and 180 ° for θ in the equation (1) for the value of N ^ ⋅ S ^

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

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Chapter 7 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)

Ch. 7 - Prob. 7.1QQ Ch. 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. 7.5OQ Ch. 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. 7.12OQ Ch. 7 - Prob. 7.13OQ Ch. 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. 7.5CQ Ch. 7 - Discuss the work done by a pitcher throwing a...Ch. 7 - Prob. 7.7CQ Ch. 7 - If only one external force acts on a particle,...Ch. 7 - Prob. 7.9CQ Ch. 7 - Prob. 7.10CQ Ch. 7 - A certain uniform spring has spring constant k....Ch. 7 - Prob. 7.12CQ Ch. 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. 7.7P Ch. 7 - Vector A has a magnitude of 5.00 units, and vector...Ch. 7 - Prob. 7.9P Ch. 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. 7.32P Ch. 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. 7.47P Ch. 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. 7.55AP Ch. 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. 7.61AP Ch. 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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Chapter 7 Solutions