EP PHYSICS F/SCI.+ENG.W/MOD..-MOD.MAST.
5th Edition
ISBN: 9780134402635
Author: GIANCOLI
Publisher: PEARSON CO
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In physics, the work done on an object is equal to the integral of the force on that object dotted with its displacent.
This looks like W = |(F-ds) (W is work, F is force, and ds is the infinitesimally small displacement vector). For a force whose direction
is the line of motion, the equation becomes W = /(Fdz).
If the force on an object as a function of displacement is F(z) = 3z² + z, what is the work as a function of displacement W(z)?Assume
W(0) = 0 and the force is in the direction of the object's motion.
A hydrogen molecule consists of two hydrogen atoms
whose nuclei are single protons. Find the magnitude of
the repulsive force between the two protons in a
hydrogen molecule whose distance apart is
7.50x10-11 m. (You may enter your result using
scientific notation.)
A block of mass m = 7.19kg is free to move along the x-axis of a rough horizontal surface.
The mass is subject to the force of gravity, a normal force, a force of kinetic friction, and a position-dependent force.
The coefficient of kinetic friction is μ = 0.363.
The position-dependent force is given by F(x) = (22.05x – 9.34x²)î.
When the block is at ri
1.02mi it moves with velocity v₁ = 8.17.
(The input below will accept answers with no more than 1% variation from the correct value.)
What is the kinetic energy of the block when it is at 7₂ = 1.02mi?
J
=
Chapter 8 Solutions
EP PHYSICS F/SCI.+ENG.W/MOD..-MOD.MAST.
Ch. 8.2 - By how much does the potential energy change when...Ch. 8.4 - In Example 83, what is the rock's speed just...Ch. 8.4 - Two balls are released from the same height above...Ch. 8 - List some everyday forces that are not...Ch. 8 - You lift a heavy book from a table to a high...Ch. 8 - Analyze the motion of a simple swinging pendulum...Ch. 8 - Prob. 4QCh. 8 - A coil spring of mass m rests upright on a table....Ch. 8 - Experienced hikers prefer to step over a fallen...Ch. 8 - (a) Where does the kinetic energy come from when a...
Ch. 8 - Can the total mechanical energy E=K+Uever be...Ch. 8 - Describe the energy transformations when a child...Ch. 8 - Prob. 10QCh. 8 - Recall from Chapter 4, Example 414, that you can...Ch. 8 - Two identical arrows, one with twice the speed of...Ch. 8 - In Mg. 825, water balloons are tossed from the...Ch. 8 - Suppose that you wish to launch a rocket from the...Ch. 8 - Suppose you lift a suitcase from the floor to a...Ch. 8 - Repeat Question 23 for the power needed instead of...Ch. 8 - Why is it easier to climb a mountain via a zigzag...Ch. 8 - Prob. 18QCh. 8 - Prob. 19QCh. 8 - (a) Describe in detail the velocity changes of a...Ch. 8 - Prob. 1MCQCh. 8 - Prob. 2MCQCh. 8 - Prob. 3MCQCh. 8 - Prob. 4MCQCh. 8 - Prob. 5MCQCh. 8 - Prob. 6MCQCh. 8 - Prob. 7MCQCh. 8 - Prob. 8MCQCh. 8 - Prob. 9MCQCh. 8 - Prob. 10MCQCh. 8 - Prob. 11MCQCh. 8 - Prob. 12MCQCh. 8 - Prob. 13MCQCh. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - (II) A particle is constrained to move in one...Ch. 8 - (II) If U=3x2+2xy+4y2z, what is the force, F?Ch. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Prob. 11PCh. 8 - (I) Jane, looking for Tarzan, is running at top...Ch. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - (II) A roller-coaster car shown in Fig. 832 is...Ch. 8 - (II) When a mass m sits at rest on a spring, the...Ch. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - (III) A skier of mass m starts from rest at the...Ch. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - (II) A ski starts from rest and slides down a 28...Ch. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - (III) A spring (k = 75 N/m) has an equilibrium...Ch. 8 - Prob. 39PCh. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - (I) For a satellite of mass mS in a circular orbit...Ch. 8 - (II) Show that Eq. 816 for gravitational potential...Ch. 8 - (II) Determine the escape velocity from the Sun...Ch. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - (II) Take into account the Earths rotational speed...Ch. 8 - (II) (a) Determine a formula for the maximum...Ch. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - (II) How much work would be required to move a...Ch. 8 - (II) A sphere of radius r1 has a concentric...Ch. 8 - (II) (a) Show that the total mechanical energy of...Ch. 8 - Prob. 54PCh. 8 - Prob. 55PCh. 8 - Prob. 56PCh. 8 - (I) An 85-kg football player traveling 5.0 m/s is...Ch. 8 - (I) If a car generates 18 hp when traveling at a...Ch. 8 - Prob. 59PCh. 8 - Prob. 60PCh. 8 - Prob. 61PCh. 8 - Prob. 62PCh. 8 - Prob. 63PCh. 8 - Prob. 64PCh. 8 - Prob. 65PCh. 8 - Prob. 66PCh. 8 - Prob. 67PCh. 8 - Prob. 68PCh. 8 - Prob. 69PCh. 8 - (III) A bicyclist coasts clown a 6.0 hill at a...Ch. 8 - Draw a potential energy diagram, U vs. x, and...Ch. 8 - Prob. 72PCh. 8 - Prob. 73PCh. 8 - (III) The potential energy of the two atoms in a...Ch. 8 - (III) The binding energy of a two-particle system...Ch. 8 - Prob. 78GPCh. 8 - Prob. 79GPCh. 8 - Prob. 80GPCh. 8 - Prob. 81GPCh. 8 - A ball is attached to a horizontal cord of length ...Ch. 8 - Show the h must be greater than 0.60 if the ball...Ch. 8 - Prob. 84GPCh. 8 - Prob. 85GPCh. 8 - Prob. 86GPCh. 8 - Prob. 87GPCh. 8 - Prob. 88GPCh. 8 - The small mass m sliding without friction along...Ch. 8 - Some electric power companies use water to store...Ch. 8 - A film of Jesse Owenss famous long jump (Fig. 849)...Ch. 8 - The nuclear force between two neutrons in a...Ch. 8 - Prob. 93GPCh. 8 - A fire hose for use in urban areas must be able to...Ch. 8 - Prob. 95GPCh. 8 - (II) (a) Suppose we have three masses, m1, m2, and...Ch. 8 - Prob. 97GPCh. 8 - Prob. 98GPCh. 8 - Prob. 99GPCh. 8 - Suppose the gravitational potential energy of an...Ch. 8 - A particle of mass m moves under the influence of...Ch. 8 - Prob. 102GPCh. 8 - Prob. 103GPCh. 8 - Prob. 104GP
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- The gravitational force (in lb) of attraction between two objects is given by F=k/x2 , where x is the distance between the objects. If the objects are 55 ft apart, find the work required to separate them until they are 5050 ft apart. Express the result in terms of k.arrow_forwardThe figure shows an overhead view of a 0.025 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force F→1 has a magnitude of 3 N and is at θ1 = 29˚. Force F→2 has a magnitude of 8 N and is at θ2 = 27˚. In unit-vector notation, what is the third force if the lemon half (a) is stationary, (b) has the constant velocity v→=(11î −16ĵ ) m/s, and (c) has the v→=(11tî −11tĵ ) m/s2, where t is time?arrow_forwardThree particles qı = 7.90 µC, q2 = -1.10 µC, and q3 = 2.00 µC, have Cartesian coordinates (0.00, 0.00) cm, (4.40, 0.00) cm, and (4.40, 5.00) cm respectively. The magnitude of the net force on q3 is most nearly (A) 13.7 N. (B) 25.0 N. (C) 26.6 N. (D) 35.9 N. (E) 38.3 N.arrow_forward
- The work done on an object is equal to the integral of the force on that object dotted with its displacent. This looks like W=∫(F.ds) (W is work, F is force, and ds is the infinitesimally small displacement vector). For a force whose direction is the line of motion, the equation becomes W=∫(Fdx). If the force on an object as a function of displacement is F(x)=3x2+x, what is the work as a function of displacement (using calculus application) W(x)? Assume W(0)=0 and the force is in the direction of the object's motion.arrow_forwardWhile sliding a couch across a floor, Hannah and Andrea exert forces F⃗ HF→H and F⃗ AF→A on the couch. Hannah's force is due north with a magnitude of FHFH = 65 N and Andrea's force is θθ = 28° east of north with a magnitude of FAFA = 247 N. In this problem, use a coordinate system with positive y directed north and positive x directed east. net force in the y direction:283 net force in the x direction:116 (a) Calculate the angle in degrees north of east of the net force exerted on the couch by Hannah and Andrea. (b) Hannah and Andrea's housemates, David and Stephanie, disagree with the move and want to prevent the relocation. Their combined force FDS must be equal and opposite to that of FHA. What is the magnitude in newtons of the force FDS that will prevent the relocation?arrow_forwardA 1200-kg car is being driven up a 5 degree hill. The frictional force has a magnitude of 524 N. A force F is applied to the car by the road and propels the car forward. In addition to these two forces, two other forces act on the car: it's weight W and the normal force N directed perpendicilar to the road surface. The length of the road up the hill is 290 m. Calculate the magnitude of F so that the net work done by all the forces acting on the car is 1150 kJ.arrow_forward
- Suppose the density of an object is given by xz, and the object occupies the tetrahedron with corners (0,0,0), (2,0,0), (0,2,0) and (0,0,2). Find the mass of the object.arrow_forwardA force is specified by the vector F = (160i + 120j - 180k) N. Calculate the angles made by F with the positive x-, y-, and z-axes. Answers: O 0x = 0y= 0₂ = D Oarrow_forwardTiny Spring: A tiny silica bead attached to a strand of DNA can be used to study the mechanical properties of DNA. The system can be approximated as a mass on a spring constrained to move in one dimension. In one such experiment, a bead of mass 7.8 × 10¬15 kg was attached to a strand of DNA with 1623 base pairs and observed for 720 seconds. (a) If the root mean square velocity of the bead is 7.56 x 10-4 m/s, at what temperature was the experiment carried out? (b) If the root mean square displacement of the particle is measured to be 1.18 × 10-7 m, what is the spring constant of the DNA molecule?arrow_forward
- Problems 3-1. Add the force vectors F=(21.31-9.5) N and F₂ = (10.71 +5.23) N quantitatively and graphically. Be sure to include the scaling factor for the graphical sum.arrow_forwardThe work done in breaking a water drop of radius 1 cm into 64 equal droplets (surface tension of water is 0.07 N/m) (a) 1.6 × 10 ¹ J 4 (b) 264 × 10 ¹ J (c) 2.64 × 10 ¹ J (d) 5.28 × 10 ¹ Jarrow_forwardIf a particle is moving, it has kinetic energy. Kinetic energy is the energy of motion, and it depends on the speed and mass of the particle. It is given by the formula Ek = 1/2*mv2, where Ek is the kinetic energy, m is the mass, and v is the speed of the particle. The formula for kinetic energy has some important features to keep in mind. Kinetic energy, and every other type of energy as well, is a scalar quantity, given by only a single number. Energy does not have a "direction", unlike a vector quantity. (This is in contrast to the vector quantity momentum, which you might have already studied.) Kinetic energy, in particular, is always a positive number. (Note the speed v is the magnitude of the vector velocity, and therefore is positive. But even if it were a negative number, squaring it would always lead to a positive result.) Kinetic energy depends on the square of the speed. (This is in contrast to the magnitude of momentum, mv, a quantity you may have already studied, which…arrow_forward
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