Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics
1st Edition
ISBN: 9781305259836
Author: Debora M. Katz
Publisher: Cengage Learning
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Chapter 5, Problem 30PQ
Three forces
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1)
Consider two positively charged particles, one of charge q0 (particle 0) fixed at the origin, and another of charge q1 (particle 1) fixed on the y-axis at (0,d1,0). What is the net force F→ on particle 0 due to particle 1?
Express your answer (a vector) using any or all of k, q0, q1, d1, i^, j^, and k^.
2)
Now add a third, negatively charged, particle, whose charge is −q2− (particle 2). Particle 2 fixed on the y-axis at position (0,d2,0). What is the new net force on particle 0, from particle 1 and particle 2?
Express your answer (a vector) using any or all of k, q0, q1, q2, d1, d2, i^, j^, and k^.
3)
Particle 0 experiences a repulsion from particle 1 and an attraction toward particle 2. For certain values of d1 and d2, the repulsion and attraction should balance each other, resulting in no net force. For what ratio d1/d2 is there no net force on particle 0?
Express your answer in terms of any or all of the following variables: k, q0, q1, q2.
A 85 turn, 10.0 cm diameter coil rotates at an angular velocity of 8.00 rad/s in a 1.35 T field, starting with the normal of the plane of the coil perpendicular to the field. Assume that the positive max emf is reached first.
(a) What (in V) is the peak emf?
7.17
V
(b) At what time (in s) is the peak emf first reached?
0.196
S
(c) At what time (in s) is the emf first at its most negative?
0.589
x s
(d) What is the period (in s) of the AC voltage output?
0.785
S
A bobsled starts at the top of a track as human runners sprint from rest and then jump into the sled. Assume they reach 40 km/h from rest after covering a distance of 50 m over flat ice. a. How much work do they do on themselves and the sled which they are pushing given the fact that there are two men of combined mass 185 kg and the sled with a mass of 200 kg? (If you haven't seen bobsledding, watch youtube to understand better what's going on.) b. After this start, the team races down the track and descends vertically by 200 m. At the finish line the sled crosses with a speed of 55 m/s. How much energy was lost to drag and friction along the way down after the men were in the sled?
Chapter 5 Solutions
Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics
Ch. 5.2 - Because Newtons first law is counterintuitive, it...Ch. 5.2 - Train Collision and Newtons First Law A group of...Ch. 5.3 - Shown in Figure 5.4 are four situations in which a...Ch. 5.3 - A person stands on a spring scale in an elevator...Ch. 5.4 - Prob. 5.5CECh. 5.5 - Prob. 5.6CECh. 5.6 - a. Take a moment to be sure that you understand...Ch. 5.7 - Imagine weighing the same bunch of bananas with...Ch. 5.7 - For all three situations, find the magnitude and...Ch. 5.9 - Prob. 5.10CE
Ch. 5.9 - A child jumping off the monkey bars at a...Ch. 5.9 - Prob. 5.12CECh. 5 - Why is it easier to lift a very large beach ball...Ch. 5 - Prob. 2PQCh. 5 - Imagine pushing two blocks on ice. The light block...Ch. 5 - When Julia Child would cook an omelet, she would...Ch. 5 - Prob. 5PQCh. 5 - Prob. 6PQCh. 5 - Prob. 7PQCh. 5 - Prob. 8PQCh. 5 - Prob. 9PQCh. 5 - Prob. 10PQCh. 5 - Prob. 11PQCh. 5 - You blow a small piece of paper through the air....Ch. 5 - Prob. 13PQCh. 5 - Prob. 14PQCh. 5 - Prob. 15PQCh. 5 - Prob. 16PQCh. 5 - Prob. 17PQCh. 5 - A ball hanging from a light string or rod can be...Ch. 5 - Prob. 19PQCh. 5 - You are riding a luxury bus. In front of you is a...Ch. 5 - Prob. 21PQCh. 5 - A particle with mass m = 4.00 kg accelerates...Ch. 5 - The x and y coordinates of a 4.00-kg particle...Ch. 5 - In the movie Garden State, one of the characters...Ch. 5 - The starship Enterprise has its tractor beam...Ch. 5 - A race car is moving around a circular track at a...Ch. 5 - A particle of mass m1 accelerates at 4.25 m/s2...Ch. 5 - Prob. 28PQCh. 5 - Two forces F1=(62.98i15.80j) N and...Ch. 5 - Three forces F1=(62.98i15.80j) N,...Ch. 5 - A hockey stick pushes a 0.160-kg puck with...Ch. 5 - If the vector components of the position of a...Ch. 5 - If the vector components of the position of a...Ch. 5 - A 15.0-kg object is in free fall near the surface...Ch. 5 - A black widow spider hangs motionless from a web...Ch. 5 - Determine whether each of the following statements...Ch. 5 - You place tomatoes in the pan of a hanging spring...Ch. 5 - Kinetic friction is proportional to the normal...Ch. 5 - A student takes the elevator up to the fourth...Ch. 5 - A sleigh is being pulled horizontally by a train...Ch. 5 - Two blocks are connected by a rope that passes...Ch. 5 - Find an expression for the carts acceleration in...Ch. 5 - A woman uses a rope to pull a block of mass m...Ch. 5 - A student working on a school project modeled a...Ch. 5 - One great form of athletic competition for...Ch. 5 - A heavy crate of mass 50.0 kg is pulled at...Ch. 5 - A block with mass m1 hangs from a rope that is...Ch. 5 - To get in shape, you head to the local gym to...Ch. 5 - A block with mass m1 hangs from a rope that is...Ch. 5 - FIGURE P5.49 Problems 49 and 50. Suppose the...Ch. 5 - Two objects, m1 = 3.00 kg and m2 = 8.50 kg, are...Ch. 5 - A runaway piano starts from rest and slides down a...Ch. 5 - Does the ground need to exert a force on you for...Ch. 5 - A boxer breaks his hand by punching another boxers...Ch. 5 - Prob. 55PQCh. 5 - A textbook rests on a movable wooden plank that is...Ch. 5 - Prob. 57PQCh. 5 - Prob. 58PQCh. 5 - Prob. 59PQCh. 5 - A worker is attempting to lift a 55.0-kg palette...Ch. 5 - Prob. 61PQCh. 5 - A concept map is a visual representation of...Ch. 5 - A 75.0-g arrow, fired at a speed of 110 m/s to the...Ch. 5 - Prob. 64PQCh. 5 - A box with mass m1 = 6.00 kg sliding on a rough...Ch. 5 - Prob. 66PQCh. 5 - A cosmic ray muon with mass m = 1.88 1028 kg...Ch. 5 - Prob. 68PQCh. 5 - Prob. 69PQCh. 5 - A 1.50-kg particle initially at rest and at the...Ch. 5 - A block of ice (m = 15.0 kg) with an attached rope...Ch. 5 - A block of ice (m = 15.0 kg) with an attached rope...Ch. 5 - Prob. 73PQCh. 5 - Starting from rest, a rectangular toy block with...Ch. 5 - When a 1.50-kg dress hangs midway from a taut...Ch. 5 - Jamal and Dayo are lifting a large chest, weighing...Ch. 5 - A heavy chandelier with mass 125 kg is hung by...Ch. 5 - Two children, Raffi and John, sitting on sleds...Ch. 5 - Two boxes with masses m1 = 4.00 kg and m2 = 10.0...Ch. 5 - Two blocks of mass m1 = 1.50 kg and m2 = 5.00 kg...Ch. 5 - An aerial demonstration aircraft dives at an angle...Ch. 5 - A painter sits on a scaffold that is connected to...Ch. 5 - Three crates with masses m1 = 5.45 kg, m2 = 7.88...Ch. 5 - A small block with mass m is set on the top of an...
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- For what type of force is it not possible to define a potential energy expression?arrow_forward10. Imagine you have a system in which you have 54 grams of ice. You can melt this ice and then vaporize it all at 0 C. The melting and vaporization are done reversibly into a balloon held at a pressure of 0.250 bar. Here are some facts about water you may wish to know. The density of liquid water at 0 C is 1 g/cm³. The density of ice at 0 C is 0.917 g/cm³. The enthalpy of vaporization of liquid water is 2.496 kJ/gram and the enthalpy of fusion of solid water is 333.55 J/gram.arrow_forwardConsider 1 mole of supercooled water at -10°C. Calculate the entropy change of the water when the supercooled water freezes at -10°C and 1 atm. Useful data: Cp (ice) = 38 J mol-1 K-1 Cp (water) 75J mol −1 K -1 Afus H (0°C) 6026 J mol −1 Assume Cp (ice) and Cp (water) to be independent of temperature.arrow_forward
- The molar enthalpy of vaporization of benzene at its normal boiling point (80.09°C) is 30.72 kJ/mol. Assuming that AvapH and AvapS stay constant at their values at 80.09°C, calculate the value of AvapG at 75.0°C, 80.09°C, and 85.0°C. Hint: Remember that the liquid and vapor phases will be in equilibrium at the normal boiling point.arrow_forward3. The entropy of an ideal gas is S = Nkg In V. Entropy is a state function rather than a path function, and in this problem, you will show an example of the entropy change for an ideal gas being the same when you go between the same two states by two different pathways. A. Express ASV = S2 (V2) - S₁(V1), the change in entropy upon changing the volume from V₁to V2, at fixed particle number N and energy, U. B. Express ASN = S₂(N₂) - S₁ (N₁), the change in entropy upon changing the particle number from N₁ to N2, at fixed volume V and energy U. C. Write an expression for the entropy change, AS, for a two-step process (V₁, N₁) → (V2, N₁) → (V2, N₂) in which the volume changes first at fixed particle number, then the particle number changes at fixed volume. Again, assume energy is constant.arrow_forwardPlease don't use Chatgpt will upvote and give handwritten solutionarrow_forward
- 6. We used the constant volume heat capacity, Cv, when we talked about thermodynamic cycles. It acts as a proportionality constant between energy and temperature: dU = C₁dT. You can also define a heat capacity for constant pressure processes, Cp. You can think of enthalpy playing a similar role to energy, but for constant pressure processes δαρ C = (37) - Sup Ср ат P = ат Starting from the definition of enthalpy, H = U + PV, find the relationship between Cy and Cp for an ideal gas.arrow_forwardPure membranes of dipalmitoyl lecithin phospholipids are models of biological membranes. They melt = 41°C. Reversible melting experiments indicate that at Tm AHm=37.7 kJ mol-1. Calculate: A. The entropy of melting, ASm- B. The Gibbs free energy of melting, AGm- C. Does the membrane become more or less ordered upon melting? D. There are 32 rotatable CH2 CH2 bonds in each molecule that can rotate more freely if the membrane melts. What is the increase in multiplicity on melting a mole of bonds?arrow_forward5. Heat capacity often has a temperature dependence for real molecules, particularly if you go over a large temperature range. The heat capacity for liquid n-butane can be fit to the equation Cp(T) = a + bT where a = 100 J K₁₁ mol¹ and b = 0.1067 J K² mol¹ from its freezing point (T = 140 K) to its boiling point (T₁ = 270 K). A. Compute AH for heating butane from 170 K to 270 K. B. Compute AS for the same temperature range.arrow_forward
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Length contraction: the real explanation; Author: Fermilab;https://www.youtube.com/watch?v=-Poz_95_0RA;License: Standard YouTube License, CC-BY