Explanation Given Info: Mass of the particle = 2 kg Initial velocity of the particle, v 0 = 4 m/s Formula used: 1. Area under the force-displacement curve gives work done by the particle. 2. Work-Energy theorem is used in this question where work done is given by, d W = F d x along the x -axis and the energy is calculated by using E = 1 2 m v 2 , since particle possesses no potential energy during its motion from x = 0 m to 4 m . Calculation: From the figure,one can clearly see that the work done by the particle going from x = 0 m to x = 2 m is an area of a triangle and similarly for x = 2 m to x = 4 m Hence, using the work-energy theorem, we have Δ K = 1 2 m v F 2 − 1 2 m v I 2 W = ∫ i f F d x 1 2 m v F 2 − 1 2 × 2

Student Workbook for Physics for Scientists and Engineers: A Strategic Approach, Vol 1. (Chs 1-21)

4th Edition

ISBN: 9780134110646

Author: Randall D. Knight (Professor Emeritus)

Publisher: PEARSON

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Helmholtz Free Energy

The Helmholtz free energy is a thermodynamic potential used to calculate the measure of useful work from a closed system. This system is kept at constant temperature and volume. German physicist Hermann Helmholtz introduced this concept in 1882.

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Chapter 9, Problem 22EAP

To determine

The velocity of the particle.

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Chapter 9, Problem 21EAP

Chapter 9, Problem 23EAP

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Chapter 9 Solutions

Student Workbook for Physics for Scientists and Engineers: A Strategic Approach, Vol 1. (Chs 1-21)

Ch. 9 - If a particle’s speed increases by a factor of 3,...Ch. 9 - Prob. 2CQ Ch. 9 - 3. An elevator held by a single cable is ascending...Ch. 9 - The rope in FIGURE Q9.4 pulls the box to the left...Ch. 9 - 5. A 0.2 kg plastic cart and a 20 kg lead cart...Ch. 9 - A particle moving to the left is slowed by a force...Ch. 9 - 7. A particle moves in a vertical plane along the...Ch. 9 - 8. You need to raise a heavy block by pulling it...Ch. 9 - 9. A ball on a string travels once around a circle...Ch. 9 - A sprinter accelerates from rest. Is the work done...

Ch. 9 - 11. A Spring has an unstretched length of 10cm. It...Ch. 9 - 12. The left end of a spring is attached to a...Ch. 9 - The driver of a car traveling at 60 mph slams on...Ch. 9 - Prob. 14CQ Ch. 9 - Which has the larger kinetic energy, a 10 g bullet...Ch. 9 - At what speed does a 1000 kg compact car have the...Ch. 9 - 3. A mother has four times the mass of her young...Ch. 9 - 4. A horizontal rope with 15 N tension drags a 25...Ch. 9 - 5. A 25 kg box sliding to the left across a...Ch. 9 - A 2.0 kg book is lying on a 0.75-m-high table. You...Ch. 9 - Prob. 7EAP Ch. 9 - Prob. 8EAP Ch. 9 - 9. You throw a 5.5 g coin straight down at 4.0 m/s...Ch. 9 - Prob. 10EAP Ch. 9 - 12. Evaluate the dot product if and . and . Ch. 9 - 12. Evaluate the dot product if and . and . Ch. 9 - 13. What is the angle ? between vectors and in...Ch. 9 - Prob. 14EAP Ch. 9 - Prob. 15EAP Ch. 9 - 16. A 25 kg air compressor is dragged up a rough...Ch. 9 - Prob. 17EAP Ch. 9 - The two ropes seen in FIGURE EX9.18 are used to...Ch. 9 - 19. The three ropes shown in the bird’s-eye view...Ch. 9 - Prob. 20EAP Ch. 9 - Prob. 21EAP Ch. 9 - Prob. 22EAP Ch. 9 - A particle moving on the x-axis experiences a...Ch. 9 - Prob. 24EAP Ch. 9 - A horizontal spring with spring constant 750 N/m...Ch. 9 - 26. A 35-cm-long vertical spring has one end fixed...Ch. 9 - A 10-cm-long spring is attached to the ceiling....Ch. 9 - A 60 kg student is standing atop a spring in an...Ch. 9 - 29. A 5.0 kg mass hanging from a spring scale is...Ch. 9 - A horizontal spring with spring constant 85 N/m...Ch. 9 - 31. One mole (6.02 × 1023 atoms) of helium atoms...Ch. 9 - 32. A 55 kg softball player slides into second...Ch. 9 - A baggage handler throws a 15 kg suitcase along...Ch. 9 - 34. An 8.0 kg crate is pulled 5.0 m up a 30°...Ch. 9 - Justin, with a mass of 30 kg, is going down an...Ch. 9 - Prob. 36EAP Ch. 9 - Prob. 37EAP Ch. 9 - 38. How much energy is consumed by (a) a 1.2 kW...Ch. 9 - 39. At midday, solar energy strikes the earth with...Ch. 9 - Prob. 40EAP Ch. 9 - Prob. 41EAP Ch. 9 - Prob. 42EAP Ch. 9 - 43. A 1000 kg elevator accelerates upward at 1.0...Ch. 9 - 44. a. Starting from rest, a crate of mass m is...Ch. 9 - Prob. 45EAP Ch. 9 - 46. A particle of mass m moving along the x-axis...Ch. 9 - 47. A ball shot straight up with kinetic energy...Ch. 9 - 48. A pile driver lifts a 250 kg weight and then...Ch. 9 - Prob. 49EAP Ch. 9 - 50. You’re fishing from a tall pier and have...Ch. 9 - Hook’s law describes an ideal spring. Many real...Ch. 9 - 52. The force acting on a particle is Fx =...Ch. 9 - 53. The gravitational attraction between two...Ch. 9 - 54. An electric dipole consists of two equal...Ch. 9 - Prob. 55EAP Ch. 9 - 56. When a 65 kg cheerleader stands on a...Ch. 9 - Prob. 57EAP Ch. 9 - Prob. 58EAP Ch. 9 - 59. A horizontal spring with spring constant 250...Ch. 9 - 60. A 90 kg firefighter needs to climb the stairs...Ch. 9 - Prob. 61EAP Ch. 9 - 62. When you ride a bicycle at constant speed,...Ch. 9 - 63. A farmer uses a tractor to pull a 150 kg...Ch. 9 - Prob. 64EAP Ch. 9 - Prob. 65EAP Ch. 9 - Prob. 66EAP Ch. 9 - In problems 67 through 69 you are given the...Ch. 9 - Prob. 68EAP Ch. 9 - Prob. 69EAP Ch. 9 - Prob. 70EAP Ch. 9 - Prob. 71EAP Ch. 9 - Prob. 72EAP

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