EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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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) = Uo[()¹5 (70)6]
where ro = 0.6 nm and U₁ = 7.7 eV.
Note: 1 eV = 1.6 x 10-¹⁹ J.
Some helpful units:
[Force] = eV/nm
[Energy] = eV
[distance] = nm
Equilibrium Distance
Force
Kinetic Energy
AddedConstant
AnotherMolecule
In another two-atom molecule that is breaking apart, the force from one atom to the other is given by
F12 Fo (r/r₂) e-(1/₂)²
=
where Io = 12.7 eV/nm and r₂ = 2 nm. Find the change in potential energy of the molecule due to this force if the
separation of the atoms changes from r = 3 nm to r = 4.3 nm.
Click here for a hint
AU=
=
<
Three vectors →A , →B, and →C have the following x and y components:
x-component
y-component
→A
-9.00
6.00
→B
8.00
-6.50
→C
0.00
5.50
What is the magnitude of R→=A→−B→−C→ ?
One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is
U(r) = Uo[()13 – (4)1
where ro = 0.7 nm and Ug = 7.1 ev.
Note: 1 eV = 1.6 × 10–19 J.
Some helpful units:
[Force] = eV/nm
[Energy] = eV
[distance] = nm
Chapter 7 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 7.1 - A box is dragged a distance d across a floor by a...Ch. 7.1 - Return to the Chapter-Opening Question, page 163,...Ch. 7.4 - (a) Make a guess: will the work needed to...Ch. 7.4 - Can kinetic energy ever be negative?Ch. 7.4 - Prob. 1EECh. 7 - In what ways is the word work as used in everyday...Ch. 7 - A woman swimming upstream is not moving with...Ch. 7 - Can a centripetal force ever do work on an object?...Ch. 7 - Why is it tiring to push hard against a solid wall...Ch. 7 - Does the scalar product of two vectors depend on...
Ch. 7 - Can a dot product ever he negative? If yes, under...Ch. 7 - Prob. 7QCh. 7 - Does the dot product of two vectors have direction...Ch. 7 - Can the normal force on an object ever do work?...Ch. 7 - You have two springs that are identical except...Ch. 7 - Prob. 11QCh. 7 - In Example 710, it was stated that the block...Ch. 7 - Does the net work done on a particle depend on the...Ch. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 10MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - (I) How much work is done by the gravitational...Ch. 7 - (I) How high will a 1.85-kg rock go if thrown...Ch. 7 - (I) A 75.0-kg firefighter climbs a flight of...Ch. 7 - (I) A hammerhead with a mass of 2.0 kg is allowed...Ch. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - (II) Estimate the work you do to mow a lawn 10 m...Ch. 7 - Prob. 10PCh. 7 - (II) A lever such as that shown in Fig. 720 can be...Ch. 7 - Prob. 12PCh. 7 - Prob. 13PCh. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - (I) For any vector V=Vxi+Vyj+Vzk show that...Ch. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - (II) A constant force F=(2.0i+4.0j)N acts on an...Ch. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - (II) Show that if two nonparallel vectors have the...Ch. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 33PCh. 7 - Prob. 34PCh. 7 - Prob. 35PCh. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - (II) If the hill in Example 72 (Fig. 74) was not...Ch. 7 - (II) The net force exerted on a particle acts in...Ch. 7 - Prob. 40PCh. 7 - (II) The force on a particle, acting along the x...Ch. 7 - Prob. 42PCh. 7 - Prob. 43PCh. 7 - (II) At the top of a pole vault, and athlete...Ch. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - (II) If it requires 5.0 J of work to stretch a...Ch. 7 - (II) An object, moving along the circumference of...Ch. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - (III) A 3.0-m-long steel chain is stretched out...Ch. 7 - (I) At room temperature, an oxygen molecule, with...Ch. 7 - (I) (a) If the kinetic energy of a particle is...Ch. 7 - Prob. 56PCh. 7 - Prob. 57PCh. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - (II) An 85-g arrow is fired from a bow whose...Ch. 7 - (II) If the speed of a car is increased by 50%, by...Ch. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - (II) (a) How much work is done by the horizontal...Ch. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - (II) A train is moving along a track with constant...Ch. 7 - Prob. 70PCh. 7 - Prob. 71PCh. 7 - Prob. 72PCh. 7 - Prob. 73PCh. 7 - Prob. 74GPCh. 7 - Prob. 75GPCh. 7 - Prob. 76GPCh. 7 - Prob. 77GPCh. 7 - Prob. 78GPCh. 7 - A varying force is given by F = Aekx, where x is...Ch. 7 - Prob. 80GPCh. 7 - A force F=(10.0i+9.0j+12.0k)kNacts on a small...Ch. 7 - Prob. 82GPCh. 7 - Prob. 83GPCh. 7 - Prob. 84GPCh. 7 - (III) We usually neglect the mass of a spring if...Ch. 7 - Prob. 86GPCh. 7 - Prob. 87GPCh. 7 - Prob. 88GPCh. 7 - Prob. 89GPCh. 7 - Prob. 90GPCh. 7 - Prob. 91GPCh. 7 - Assume a cyclist of weight mg can exert a force on...Ch. 7 - A car passenger buckles himself in with a seat...Ch. 7 - A simple pendulum consists of a small object of...Ch. 7 - Prob. 95GPCh. 7 - A small mass m hangs at rest from a vertical rope...Ch. 7 - Prob. 97GPCh. 7 - Prob. 98GPCh. 7 - Stretchable ropes ate used to safely arrest the...Ch. 7 - Prob. 100GP
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- Show that when A⃗ +B⃗ =C⃗ A→+B→=C→, then C2=A2+B2+2ABcosφC2=A2+B2+2ABcosφ, where φφ is the angle between vectors A⃗ A→ and B⃗ B→.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)16 - (r0 / r)9] where r0 = 0.70 nm and U0 = 7.0 eV. Note: 1 eV = 1.6*10-19 J. You can use SI units, but CAPA will also accept these units that will simplify your calculations: [Force] = eV/nm[Energy] = eV[distance] = nm r_eq = 7.6 *10^-1 nm If the distance between the atoms increases from equilibrium by r1 = 0.20 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). F_r (r_eq +r_1) = ? The atoms are oscillating back and forth. The maximum separation of the atoms is r2 = 2.2 nm. What is the kinetic energy of the atoms when they are separated by the equilibrium distance? K(r_eq) = ?arrow_forwardThe units of 1/4πε0 are: a. N·m2/C2 b. N2m2/C2 c. m2/C2 d. N2/C2 e. N•m/Carrow_forward
- What is the magnitude of a→×(b→×a→) if there is an angle φ = 23.0° between the directions of a→ and b→? Assume a = 7.9 and b = 5.1.arrow_forwardI need help with this problem: Two vectors A⃗ A→ and B⃗ B→ are at right angles to each other. The magnitude of A⃗ A→ is 2.00. What should be the length of B⃗ B→ so that the magnitude of their vector sum is 4.00?arrow_forwardAdd the three vectors →→ → A, B, and C graphically. (Include a minus sign if required.) -4 D -2 2 2 1 B C 2 4 Xarrow_forward
- What is the scalar/dot product of the given 3-dimensional vectors: A = (xy)i + (2yz)j + (3xz)k and B = (yz)i + (2xz)j+(3xy)k , if x = 1; y = 2; z = 3? %3D %3D %3D O 144 136 O 132 O 138arrow_forwardif A⃗ =2i+3j+6kA→=2i+3j+6k and A⃗ =3i−4j+2kA→=3i−4j+2k, then the angle between the two vectors isarrow_forwardThe second part of a question, especially the section (e)arrow_forward
- 3 (a) Suppose a dielectric sample has a surrounding ambient temperature To which is lower than 300 K. What will be its impact on Ec (increase or decrease)? If the value of Ec needs to be restricted, how you will choose the impulse time to (increase or decrease)? Explain. (b) For a porcelain solid slab dielectric insulator, Cv = 1.16 kJ/kg °K, u =0.25 eV, 0o = 2.45 W/m °K and To = 420 K. For te = 3.35 us, what is the value of critical breakdown field Eei? (c) If the specimen thickness is 5.48 cm, what is the breakdown voltage Vb1? (d) Now consider for the same porcelain slab of 3(b), To is now 220 K and all other parameters are unchanged. What is the value of new critical breakdown field Ec2 ? (e) For the same specimen thickness of 3(c), what is the new breakdown voltage Vb2 ? What is the ratio Vb2/ Vb1 ? u E.? = 3 (오) () 7.? exo Cy 2 Earrow_forward(the complete question is in the picture) The vector in the figure has a magnitudeof 40.0 [m] and makes an angle of 15.0◦ with respect tothe y-axis. What is the component form of vector−→k ?A. 10.4 [m] ˆı − 38.6 [m] ˆB. 10.4 [m] ˆı + 38.6 [m] ˆC. −10.4 [m] ˆı − 38.6 [m] ˆD. −10.4 [m] ˆı + 38.6 [m] ˆarrow_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: 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_forward
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