Physics
Physics
7th Edition
ISBN: 9780321733627
Author: Douglas C. Giancoli
Publisher: PEARSON
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Chapter 4, Problem 57P
To determine

(a) To Determine:

The acceleration of the block sliding down an inclined plane.

To determine

(b) To Determine:

The speed of the block when it reaches the end of the incline.

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5.77 A block with mass m₁ is placed on an inclined plane with slope angle a and is connected to a hanging block with mass m₂ by a cord passing over a small, frictionless pulley (Fig. P5.74). The coef- ficient of static friction is μs, and the coefficient of kinetic friction is Mk. (a) Find the value of m₂ for which the block of mass m₁ moves up the plane at constant speed once it is set in motion. (b) Find the value of m2 for which the block of mass m₁ moves down the plane at constant speed once it is set in motion. (c) For what range of values of m₂ will the blocks remain at rest if they are released from rest?
5.78 .. DATA BIO The Flying Leap of a Flea. High-speed motion pictures (3500 frames/second) of a jumping 210 μg flea yielded the data to plot the flea's acceleration as a function of time, as shown in Fig. P5.78. (See "The Flying Leap of the Flea," by M. Rothschild et al., Scientific American, November 1973.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Using the graph, (a) find the initial net external force on the flea. How does it compare to the flea's weight? (b) Find the maximum net external force on this jump- ing flea. When does this maximum force occur? (c) Use the graph to find the flea's maximum speed. Figure P5.78 150 a/g 100 50 1.0 1.5 0.5 Time (ms)
5.4 ⚫ BIO Injuries to the Spinal Column. In the treatment of spine injuries, it is often necessary to provide tension along the spi- nal column to stretch the backbone. One device for doing this is the Stryker frame (Fig. E5.4a, next page). A weight W is attached to the patient (sometimes around a neck collar, Fig. E5.4b), and fric- tion between the person's body and the bed prevents sliding. (a) If the coefficient of static friction between a 78.5 kg patient's body and the bed is 0.75, what is the maximum traction force along the spi- nal column that W can provide without causing the patient to slide? (b) Under the conditions of maximum traction, what is the tension in each cable attached to the neck collar? Figure E5.4 (a) (b) W 65° 65°

Chapter 4 Solutions

Physics

Ch. 4 - A stone hangs by a fine thread from the ceiling,...Ch. 4 - Prob. 10QCh. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 14QCh. 4 - Prob. 15QCh. 4 - Prob. 16QCh. 4 - Prob. 17QCh. 4 - Prob. 18QCh. 4 - Prob. 19QCh. 4 - A block is given a brief push so that it slides up...Ch. 4 - Prob. 21QCh. 4 - Prob. 22QCh. 4 - A truck is traveling horizontally to the right...Ch. 4 - You are trying to push your stalled car. Although...Ch. 4 - Matt, in the foreground of Fig. 4-39, is able to...Ch. 4 - A bear sling, Fig. 4-40, is used in some national...Ch. 4 - What causes the boat in Fig. 4-41 to move forward?...Ch. 4 - A person stands on a scale in an elevator. His...Ch. 4 - When a skier skis down a hill, the normal force...Ch. 4 - A golf ball is hit with a golf club. While the...Ch. 4 - Suppose an object is accelerated by a force of 100...Ch. 4 - You are pushing a heavy box across a rough floor....Ch. 4 - Prob. 11MCQCh. 4 - The normal force on an extreme skier descending a...Ch. 4 - To pull an old stump out of the ground, you and a...Ch. 4 - What force is needed to accelerate a sled (mass =...Ch. 4 - Prob. 2PCh. 4 - How much tension must a rope withstand if it is...Ch. 4 - According to a simplified model of a mammalian...Ch. 4 - Superman must stop a 120-km/h train in 150 m to...Ch. 4 - A person has a reasonable chance of surviving an...Ch. 4 - What average force is required to stop a 950-kg...Ch. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - A box weighing 77.0 N rests on a table. A rope...Ch. 4 - Figure 4-46 Problem 21. 21. (I) Draw the free-body...Ch. 4 - Prob. 22PCh. 4 - Arlene is to walk across a “high wire" strung...Ch. 4 - A window washer pulls herself upward using the...Ch. 4 - One 3.2-kg paint bucket is hanging by a massless...Ch. 4 - Prob. 26PCh. 4 - A train locomotive is pulling two cars of the same...Ch. 4 - Prob. 28PCh. 4 - At the instant a race began, a 65-kg sprinter...Ch. 4 - A 27-kg chandelier hangs from a ceiling on a...Ch. 4 - Prob. 31PCh. 4 - Figure 4-53 [shows a block (mass mA) on a smooth...Ch. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - 35. (Ill) Suppose the pulley in Fig. 4-55 is...Ch. 4 - Prob. 36PCh. 4 - A force of 35.0 N is required to start a 6.0-kg...Ch. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - A box is given a push so that it slides across the...Ch. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - 46. (II) For the system of Fig. 4-32 (Example...Ch. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - A person pushes a 14.0-kg lawn mower at constant...Ch. 4 - Prob. 51PCh. 4 - (a) A box sits at rest on a rough 33° inclined...Ch. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - A 25.0-kg box is released on a 27° incline and...Ch. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - The crate shown in Fig. 4-60 lies on a plane...Ch. 4 - A crate is given an initial speed of 3.0 m/s up...Ch. 4 - Prob. 61PCh. 4 - Prob. 62PCh. 4 - The coefficient of kinetic friction for a 22-kg...Ch. 4 - On an icy day, you worry about parking your car in...Ch. 4 - Two masses mA= 2.0 kg and mB= 5.0 kg are on...Ch. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - A 2.0-kg purse is dropped from the top of the...Ch. 4 - Prob. 69GPCh. 4 - 70. A 75.0-kg person stands on a scale in an...Ch. 4 - Prob. 71GPCh. 4 - Prob. 72GPCh. 4 - Prob. 73GPCh. 4 - Prob. 74GPCh. 4 - Prob. 75GPCh. 4 - (a) What minimum force F is needed to lift the...Ch. 4 - Prob. 77GPCh. 4 - A jet aircraft is accelerating at 3.8 m/s2 as it...Ch. 4 - Prob. 79GPCh. 4 - Prob. 80GPCh. 4 - Prob. 81GPCh. 4 - Prob. 82GPCh. 4 - Prob. 83GPCh. 4 - Prob. 84GPCh. 4 - Prob. 85GPCh. 4 - Prob. 86GPCh. 4 - Prob. 87GPCh. 4 - Prob. 88GPCh. 4 - Prob. 89GPCh. 4 - Prob. 90GPCh. 4 - A 72-kg water skier is being accelerated by a ski...Ch. 4 - Prob. 92GPCh. 4 - Prob. 93GPCh. 4 - Prob. 94GPCh. 4 - Prob. 95GPCh. 4 - Prob. 96GPCh. 4 - Prob. 97GP
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Newton's Second Law of Motion: F = ma; Author: Professor Dave explains;https://www.youtube.com/watch?v=xzA6IBWUEDE;License: Standard YouTube License, CC-BY