Physics for scientists
Physics for scientists and engineers with modern physics, 9th ed
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Hafez a radi, john o rasmussen auth principles of physics for scientists and engineers 01
... thanks to my wife and two sons Tarek and Rami for their ongoing support and encouragement I also owe special thanks to my colleague and friend Prof Rasmussen for his invaluable contributions to ... hafez. radi@gmail.com Acknowledgments from Prof John O Rasmussen I would like to thank Prof Radi for the opportunity to join him as coauthor I am grateful to the many teachers, students, and colleagues from ... height and diameter and kept under a double bell jar at the International Bureau of Weights and Measures in France Accurate copies of this standard kilogram have been sent to standardizing laboratories...
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Hafez a radi, john o rasmussen auth principles of physics for scientists and engineers 02
... atoms of hydrogen (11H), each of which has a mass of u, and one atom of oxygen (168 O) , that has a mass 16 u, approximately (a) What is the mass of one molecule of water in units of kilograms? ... dimension of the inverse of time (22) Newton’s second law states that the acceleration of an object is directly proportional to the force applied and inversely proportional to the mass of the object ... diagonal vector that starts from the tails of both A and B This method shows → → → → that A + B = B + A 20 Vectors An alternative graphical method for adding two vectors is the parallelogram...
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Hafez a radi, john o rasmussen auth principles of physics for scientists and engineers 03
... used most often in solving problems for the case of constant acceleration 54 Motion in One Dimension Table 3.1 Equations for motion with constant acceleration Equation Missing quantity Equation ... 3.5 Motion in One Dimension Constant Acceleration In many common types of one-dimensional motion, the acceleration is constant (or we say uniform) In this case, the average acceleration equals ... useful to define the instantaneous acceleration as the limit of the average acceleration when t approaches zero Consider the motion of a particle (for example a car that moves like a particle)...
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Hafez a radi, john o rasmussen auth principles of physics for scientists and engineers 04
... assumptions, we find that: (1) the horizontal motion and vertical motion are independent of each other and (2) the two dimensional path of a projectile (also called its trajectory) is always a parabola ... acceleration a as follows: Instantaneous acceleration → The instantaneous acceleration, a , of a particle is defined as the limiting value → of the ratio v→/ t when t approaches zero Mathematically ... 4.5 A general view of y rti Pa the acceleration vector → a of a t ax P ath particular time t The figure p ’s cle particle at point P at a ay also displays the acceleration a scalar components ax...
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Hafez a radi, john o rasmussen auth principles of physics for scientists and engineers 05
... The Cause of Acceleration and Newton’s Laws 105 Newton’s Third Law of Motion Forces come in pairs For example, if you lean against a wall with a certain force, the wall reacts and pushes back on ... velocity → v of a particle changes in both direction and magnitude, the acceleration → a can be decomposed to a radial component vector → a r and a tangential component vector → at The tangential ... vector a can be resolved into two component vectors: a tangential → → component vector, a t , and a radial component vector, a r That is: → → → a = ar + at (4.31) at Particle’spath a ar ar a at...
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Hafez a radi, john o rasmussen auth principles of physics for scientists and engineers 06
... (decelerating), see Fig 5.44 A person stands on a scale in that elevator, and hence pushes downwards on the scale The scale also reacts with an upward normal force The maximum 134 Force and Motion and ... block m2 is before block m1 and the same force acts on m2 (13) Two toys of masses m1 = 40 g and m2 = 120 g are connected by a massless rope and lie on a horizontal frictionless surface as shown ... behind block m2 on the plane? (34) A ball of mass m = 1.6 kg hangs by a thread from the roof of an elevator The thread can withstand only a tension force of 20 N When the system accelerates upwards,...
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Hafez a radi, john o rasmussen auth principles of physics for scientists and engineers 07
... to point b along path and then back to point a along path i.e., the work done by a conservative force on a particle moving from a to b along path is the same as from a to b along path In words: ... (a) A conservative force acts on a particle moving from point a to point b by following either path or path (b) A conservative force acts on a particle moving in a round trip from point a to ... from A to B along path and then from B to A along path is not zero 154 Work, Energy, and Power 1 book book B B A A (a) (b) Fig 6.12 (a) The work done by the force of friction depends on the path...
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Hafez a radi, john o rasmussen auth principles of physics for scientists and engineers 08
... has one of its ends fixed and the other attached to a block of mass m that rests on a frictionless horizontal surface The application of a horizontal force F on the block causes the spring to stretch ... a constant acceleration a of 1.5 m/s2 that produces a speed v = at? (42) A constant horizontal force F = 20 N acts on a block of mass m = kg resting on a horizontal plane The block starts from ... moving a body of mass kg vertically upward from an elevation of m to an elevation of m, (a) by gravity? (b) by an external agent that is slowly moving the body? (c) Answer parts (a) and (b) for...
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Hafez a radi, john o rasmussen auth principles of physics for scientists and engineers 09
... Translational motion of the CM CM CM CM Translational motion of the CM plus rotational motion about the CM CM (a) (b) Fig 7.12 (a) A top view of the translational motion of the CM of a wrench over a ... Center of Mass (CM) Until now, we have dealt with translation motion of an object that can be approximated by a point particle In fact, real objects can undergo both translational and rotational motions ... mass CM of the bat Translational motion of the CM Fig 7.16 When a bat is thrown into the air, the center of mass of the bat follows a parabolic path, but all other points of the bat follow complicated...
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Hafez a radi, john o rasmussen auth principles of physics for scientists and engineers 10
... linear y acceleration → a of point P on a at rotating rigid body has two perpendicular components, the P a tangential component at and ar the radial component ar O x Rotation axis The magnitude of ... concept of torque After that we treat some general cases where the axis of rotation is not fixed in space In these cases, rigid bodies can undergo both rotational and translational motion, as ... the boat’s motion with a relative speed vrel = m/s (a) What is the location and velocity of the center of mass before and after the motion of the man? (b) What is the velocity vB of the boat once...
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Hafez a radi, john o rasmussen auth principles of physics for scientists and engineers 11
... Rotational Motion 8.6 Rotational Dynamics; Torque Rotational dynamics is the study of rotational motion and the causes of changes in motion Just as linear motion is analogous to rotational motion ... the action of these components passes through the axis of rotation 8.7 Newton’s Second Law for Rotation 243 Parallel-Axis Theorem If we calculate the moment of inertia of a body about any axis ... principle for rotational motion of a rigid body about a fixed axis Power in Rotational Motion The rate of work done at time t, dW /dt, or the instantaneous power P, is obtained from Eq 8.38 as follows:...
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