Modified Mastering Physics without Pearson eText-- Instant Access -- for Physics for Scientists & Engineers with Modern Physics
5th Edition
ISBN: 9780134402659
Author: GIANCOLI, Douglas
Publisher: PEARSON
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3) The equation that describes the potential energy stored in the interaction between two atoms in a diatomic molecule is U = A/x12 – B/x6. Here A and B are appropriate constants and x is the inter-atomic distance. Find the magnitude of the force that one atom exerts on the other.
a) 12A/x13 – 6B/x7
b) –13A/x13 + 7B/x7
c) –11A/x11 + 5B/x5
d) 72A/x12 – 72B/x6
e) A/x13 – B/x7
Q. 9 : Amount of energy required to blow a
bubble of radius 5 cm, (surface tension of soap
is 30 x 10-² N/m)
(a)
1.88 J
(b) 1.88 х 10-1]
(c)
1.88 x 10-2 J (d) 1.88 x 10 J
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.)
Chapter 8 Solutions
Modified Mastering Physics without Pearson eText-- Instant Access -- for Physics for Scientists & Engineers with Modern Physics
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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- One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U(r)=U0[(r0/r)12−(r0/r)4] where r0 = 0.65 nm and U0 = 7.4 eV.Note: 1 eV = 1.6×10−19 J.Some helpful units:[Force] = eV/nm[Energy] = eV[distance] = nm Here is what I am having trouble with: You can choose where the potential energy equals zero anywhere you want (you can add or subtract any constant to it). For this function, U(∞) = 0. This is very common for electromagnetic problems like you will see in Physics 2. If the potential energy function were defined as U(r)=U0[(r0/r)12−(r0/r)4]+U1 where U1 = 4.5 eV, reanswer all of the previous questions using this new potential energy function. req= ? Fr(req+r1)= ? K(req)= ? (NOTE: these are all part of the same question) I got .957026 nm for req, and -1.4348 eV/nm for Fr(req+r1), and I couldnt get an answer for K(req). My answers are wrong. Where am I not understanding?arrow_forwardOne model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U(r)=U0[(r0/r)12−(r0/r)4] where r0 = 0.65 nm and U0 = 7.4 eV.Note: 1 eV = 1.6×10−19 J.Some helpful units:[Force] = eV/nm[Energy] = eV[distance] = nm Here is what I am having trouble with: What is the distance between the atoms when the molecule is in stable equilibrium? If the distance between the atoms increases from equilibrium by r1 = 0.2 nm, then what is the force from one atom on the other associated with this potential energy? (Enter your answer as postive if they repel each other, and negative if they attract.)arrow_forwardThe 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_forward
- How much work is required to lift a 500-kg satellite to an altitude of 3⋅10^6 m above the surface of the Earth? The gravitational force is F=GMm/r^2, where M is the mass of the Earth, m is the mass of the satellite, and r is the distance between the satellite and the Earth's center. The radius of the Earth is 6.4⋅10^6 m, its mass is 6⋅10^24 kg, and in these units the gravitational constant, G, is 6.67⋅10^−11. Work= (include units)arrow_forwardIn the ammonia (NH3) molecule of the figure, three hydrogen (H) atoms form an equilateral triangle, with the center of the triangle at distance d = 9.40 × 10−11 m from each hydrogen atom. The nitrogen (N) atom is at the apex of a pyramid, with the three hydrogen atoms forming the base. The nitrogen-to-hydrogen atomic mass ratio is 13.9, and the nitrogen-to-hydrogen distance is L = 10.14 × 10-11 m. What are the (a) x and (b) y coordinates of the molecule's center of mass? (a) Number Units (b) Number N L HO H d H This answer has no units Units This answer has no unitsarrow_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
- When a 300-g mass is hung from the end of a vertical spring, the spring’s length is 40 cm. With 500 g hanging from it, its length is 50 cm. What is the spring constant of the spring?arrow_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_forward1.55 • An Earthlike Planet. In January 2006 astronomers reported the discovery of a planet comparable in size to the earth orbiting another star and having a mass about 5.5 times the earth's mass. It is believed to consist of a mixture of rock and ice, similar to Neptune. If this planet has the same density as Neptune (1.76 g/cm), what is its radius expressed (a) in kilometers and (b) as a multiple of earth's radius? Consult Appendix F for astronomi- cal data.arrow_forward
- take m and k as ; m= 0.18 kg and k = 150 n/marrow_forwardAs shown in the figure, a rod of mass m=1 (kg) and length L= 1 (m) is standing between the frictionless wall A and the frictional plate B. The rod is perpendicular to plate B. What should the minimum coefficient of friction be for the rod to stay at rest? g = 10 (m/s²) B m,L 45° A) B)를 D) E)arrow_forwardIn the ammonia (NH3) molecule of the figure, three hydrogen (H) atoms form an equilateral triangle, with the center of the triangle at distance d = 9.40 × 10–11 m from each hydrogen atom. The nitrogen (N) atom is at the apex of a pyramid, with the three hydrogen atoms forming the base. The nitrogen-to-hydrogen atomic mass ratio is 13.9, and the nitrogen-to-hydrogen distance is L = 10.14 × 10–11 m. What are the (a) x and (b) y coordinates of the molecule's center of mass?arrow_forward
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