TOPICS IN PHYSICAL SCIENCE
12th Edition
ISBN: 9781260826524
Author: Tillery
Publisher: MCG
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Chapter 2, Problem 16PEA
To determine
The initial velocity of the ball at which it was thrown.
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A point charge of -3.00 μC is located in the center of a spherical cavity of radius 6.60 cm inside an insulating spherical charged solid. The charge density in the solid is 7.35 × 10−4 C/m3. Calculate the magnitude of the electric field inside the solid at a distance of 9.10 cm from the center of the cavity. Find the direction of this electric field.
An infinitely long conducting cylindrical rod with a positive charge λ per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of −2λ and radius r1, as shown in the figure.
What is E(r), the radial component of the electric field between the rod and cylindrical shell as a function of the distance r from the axis of the cylindrical rod?
Express your answer in terms of λ, r, and ϵ0, the permittivity of free space.
What is σinner, the surface charge density (charge per unit area) on the inner surface of the conducting shell? What is σouterσouter, the surface charge density on the outside of the conducting shell? (Recall from the problem statement that the conducting shell has a total charge per unit length given by −2λ.) What is the radial component of the electric field, E(r), outside the shell?
A very long conducting tube (hollow cylinder) has inner radius aa and outer radius b. It carries charge per unit length +α, where αα is a positive constant with units of C/m. A line of charge lies along the axis of the tube. The line of charge has charge per unit length +α. Calculate the electric field in terms of α and the distance r from the axis of the tube for r<a. Calculate the electric field in terms of α and the distance rr from the axis of the tube for a<r<b. Calculate the electric field in terms of αα and the distance r from the axis of the tube for r>b. What is the charge per unit length on the inner surface of the tube? What is the charge per unit length on the outer surface of the tube?
Chapter 2 Solutions
TOPICS IN PHYSICAL SCIENCE
Ch. 2 - 1. A straight-line distance covered during a...Ch. 2 - 2. How fast an object is moving in a particular...Ch. 2 -
3. Acceleration occurs when an object undergoes...Ch. 2 - Prob. 4ACCh. 2 -
5. A car moving at 60 km/h comes to a stop in 10...Ch. 2 -
6. According to Galileo, an object moving without...Ch. 2 -
7. In free fall, an object is seen to have a (an)...Ch. 2 -
8. A tennis ball is hit, causing it to move...Ch. 2 -
9. A quantity of 5 m/s2 is a measure of...Ch. 2 - 10. An automobile has how many different devices...
Ch. 2 - 11. Ignoring air resistance, an object falling...Ch. 2 - 12. Ignoring air resistance, an object falling...Ch. 2 - 13. Two objects are released from the same height...Ch. 2 - 14. A ball rolling across the floor slows to a...Ch. 2 - 15. The basic difference between instantaneous and...Ch. 2 - 16. Does any change in the motion of an object...Ch. 2 - 17. A measure of how fast your speed is changing...Ch. 2 - 18. Considering the forces on the system of you...Ch. 2 - 19. Newton’s first law of motion describes
a. the...Ch. 2 - 20. You are standing freely on a motionless...Ch. 2 - 21. Mass is measured in kilograms, which is a...Ch. 2 - 22. Which metric unit is used to express a measure...Ch. 2 - 23. Newton’s third law of motion states that...Ch. 2 - 24. If you double the unbalanced force on an...Ch. 2 - 25. If you double the mass of a cart while it is...Ch. 2 - 26. Doubling the distance between the center of an...Ch. 2 - 27. If a ball swinging in a circle on a string is...Ch. 2 - 28. A ball is swinging in a circle on a string...Ch. 2 - 29. Suppose the mass of a moving scooter is...Ch. 2 - 30. Two identical moons are moving in identical...Ch. 2 - 31. Which undergoes a greater change of momentum,...Ch. 2 - Prob. 32ACCh. 2 - 33. An astronaut living on a space station that is...Ch. 2 - Prob. 34ACCh. 2 -
35. You are at rest with a grocery cart at the...Ch. 2 -
36. Once again you are at rest with a grocery...Ch. 2 -
37. You are moving a grocery cart at a constant...Ch. 2 -
38. You are outside a store, moving a loaded...Ch. 2 -
39. Neglecting air resistance, a ball in free...Ch. 2 -
40. From a bridge, a ball is thrown straight up...Ch. 2 -
41. After being released, a ball thrown straight...Ch. 2 -
42. A gun is aimed horizontally at the center of...Ch. 2 -
43. According to the third law of motion, which...Ch. 2 -
44. A small sports car and a large SUV collide...Ch. 2 -
45. Again consider the small sports car and large...Ch. 2 -
46. An orbiting satellite is moved from 10,000 to...Ch. 2 -
47. Newton’s law of gravitation considers the...Ch. 2 - 1. An insect inside a bus flies from the back...Ch. 2 - 2. Disregarding air friction, describe all the...Ch. 2 -
3. Can gravity act in a vacuum? Explain.
Ch. 2 -
4. Is it possible for a small car to have the...Ch. 2 -
5. Without friction, what net force is needed to...Ch. 2 -
6. How can there ever be an unbalanced force on...Ch. 2 -
7. Why should you bend your knees as you hit the...Ch. 2 -
8. Is it possible for your weight to change while...Ch. 2 - Prob. 9QFTCh. 2 - 10. Suppose you are standing on the ice of a...Ch. 2 - 11. A rocket blasts off from a platform on a space...Ch. 2 - 12. An astronaut leaves a spaceship that is moving...Ch. 2 - 1. What are the significant similarities and...Ch. 2 - 2. What are the significant similarities and...Ch. 2 -
3. Compare your beliefs and your own reasoning...Ch. 2 -
5. Why is it that your weight can change by...Ch. 2 -
6. Assess the reasoning that Newton's first law...Ch. 2 - Prob. 6FFACh. 2 - Prob. 1IICh. 2 - Prob. 1PEACh. 2 - Prob. 2PEACh. 2 - Prob. 3PEACh. 2 - Prob. 4PEACh. 2 - Prob. 5PEACh. 2 - Prob. 6PEACh. 2 - Prob. 7PEACh. 2 - Prob. 8PEACh. 2 - Prob. 9PEACh. 2 - Prob. 10PEACh. 2 - Prob. 11PEACh. 2 - Prob. 12PEACh. 2 - Prob. 13PEACh. 2 - Prob. 14PEACh. 2 - Prob. 15PEACh. 2 - Prob. 16PEACh. 2 - Prob. 17PEACh. 2 - Prob. 18PEACh. 2 - What is the resulting acceleration when an...Ch. 2 - What is the momentum of a 100 kg football player...Ch. 2 - A car weighing 13,720 N is speeding down a highway...Ch. 2 - A 15 g bullet is fired with a velocity of 200 m/s...Ch. 2 - Prob. 23PEACh. 2 - (a) What is the weight of a 1.25 kg book? (b) What...Ch. 2 - Prob. 25PEACh. 2 - Prob. 26PEACh. 2 - Prob. 27PEACh. 2 - Prob. 28PEACh. 2 - Prob. 29PEACh. 2 - Prob. 30PEACh. 2 - Prob. 31PEACh. 2 - 1. What was the average speed in km/h of a car...Ch. 2 - 2. What was the average speed in km/h of a boat...Ch. 2 -
3. How much would an 80.0 kg person weigh (a) on...Ch. 2 -
4. What force is needed to give a 6,000 kg truck...Ch. 2 -
5. What is the resulting acceleration when a 300...Ch. 2 -
6. A boat moves 15.0 km across a lake in 30.0...Ch. 2 -
7. If the Sun is a distance of 1.5 108 km from...Ch. 2 -
8. How many meters away is a cliff if an echo is...Ch. 2 -
9. A car has an average speed of 80.0 km/h for 1...Ch. 2 - 10. What is the acceleration of a car that moves...Ch. 2 - 11. How much time is needed for a car to...Ch. 2 - 12. A rocket moves through outer space at 11,000...Ch. 2 - 13. Sound travels at 348 m/s in the warm air...Ch. 2 - 14. How many hours are required for a radio signal...Ch. 2 - 15. A rifle is fired straight up, and the bullet...Ch. 2 - 16. A rock thrown straight up climbs for 2.50 s,...Ch. 2 - 17. An object is observed to fall from a bridge,...Ch. 2 - 18. A ball dropped from a window strikes the...Ch. 2 - 19. Find the resulting acceleration from a 300 N...Ch. 2 - 20. What is the momentum of a 30.0 kg shell fired...Ch. 2 - 21. What is the momentum of a 39.2 N bowling ball...Ch. 2 - 22. A 30.0 kg shell is fired from a 2,000 kg...Ch. 2 - 23. An 80.0 kg man is standing on a frictionless...Ch. 2 - 24. (a) What is the weight of a 5.00 kg backpack?...Ch. 2 - 25. What net force is required to accelerate a...Ch. 2 - 26. What forward force must the ground apply to...Ch. 2 - 27. A 1,000.0 kg car accelerates uniformly to...Ch. 2 - 28. A net force of 3,000.0 N accelerates a car...Ch. 2 - 29. How much does a 60.0 kg person weigh?
Ch. 2 - 30. What tension must a 50.0 cm length of string...Ch. 2 - 31. A 200.0 kg astronaut and equipment move with a...
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- Two small insulating spheres with radius 9.00×10−2 m are separated by a large center-to-center distance of 0.545 m . One sphere is negatively charged, with net charge -1.75 μC , and the other sphere is positively charged, with net charge 3.70 μC . The charge is uniformly distributed within the volume of each sphere. What is the magnitude E of the electric field midway between the spheres? Take the permittivity of free space to be ϵ0 = 8.85×10−12 C2/(N⋅m2) . What is the direction of the electric field midway between the spheres?arrow_forwardA conducting spherical shell with inner radius aa and outer radius bb has a positive point charge Q located at its center. The total charge on the shell is -3Q, and it is insulated from its surroundings. Derive the expression for the electric field magnitude in terms of the distance r from the center for the region r<a. Express your answer in terms of some or all of the variables Q, a, b, and appropriate constants. Derive the expression for the electric field magnitude in terms of the distance rr from the center for the region a<r<b. Derive the expression for the electric field magnitude in terms of the distance rr from the center for the region r>b. What is the surface charge density on the inner surface of the conducting shell? What is the surface charge density on the outer surface of the conducting shell?arrow_forwardA small sphere with a mass of 3.00×10−3 g and carrying a charge of 4.80×10−8 C hangs from a thread near a very large, charged insulating sheet, as shown in the figure (Figure 1). The charge density on the sheet is −2.20×10−9 C/m2 . Find the angle of the thread.arrow_forward
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