University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
14th Edition
ISBN: 9780134265414
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 5, Problem 5.103P
CALC You throw a rock downward into water with a speed of 3mg/k, where k is the coefficient in Eq. (5.5). Assume that the relationship between fluid resistance and speed is as given in Eq. (5.5), and calculate the speed of the rock as a function of time.
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An object of mass 100 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling the object down, a buoyancy force of 1/40 times the weight of the object is pushing the object up (weight = mg). Assume that water resistance exerts a force on the object that is proportional to the velocity of the object, with proportionality constant 10 N-sec/m. Answer the following questions. (a) Find the force due to gravity. Use g = 9.81 m/sec^2. (b) Find the buoyancy force. (c) Express the air resistance force using the given information. (d) Use Newton's second law to build a differential equation for the velocity v(t). What is the initial data? (e) Solve your initial value problem for v(t). You can use separation of variables or go by an integrating factor. (f) Use your result in step 'e' to find the position function x(t). ONLY PART E AND F, please and thank you!
An object of mass 100 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling the object down, a buoyancy force of 1/40 times the weight of the object is pushing the object up (weight = mg). Assume that water resistance exerts a force on the object that is proportional to the velocity of the object, with proportionality constant 10 N-sec/m. Answer the following questions. (a) Find the force due to gravity. Use g = 9.81 m/sec^2. (b) Find the buoyancy force. (c) Express the air resistance force using the given information. (d) Use Newton's second law to build a differential equation for the velocity v(t). What is the initial data? (e) Solve your initial value problem for v(t). You can use separation of variables or go by an integrating factor. (f) Use your result in step 'e' to find the position function x(t).
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Chapter 5 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
Ch. 5.1 - A traffic light of weight w hangs from two...Ch. 5.2 - Suppose you hold the glider in Example 5.12 so...Ch. 5.3 - Consider a box that is placed on different...Ch. 5.4 - Satellites are held in orbit by the force of our...Ch. 5 - A man sits in a seat that is hanging from a rope....Ch. 5 - In general, the normal force is not equal to the...Ch. 5 - A clothesline hangs between two poles. No matter...Ch. 5 - You drive a car up a steep hill at constant speed....Ch. 5 - For medical reasons, astronauts in outer space...Ch. 5 - To push a box up a ramp, which requires less...
Ch. 5 - A woman in an elevator lets go of her briefcase,...Ch. 5 - A block rests on an inclined plane with enough...Ch. 5 - A crate slides up an inclined ramp and then slides...Ch. 5 - A crate of books rests on a level floor. To move...Ch. 5 - In a world without friction, which of the...Ch. 5 - When you stand with bare feet in a wet bathtub,...Ch. 5 - You are pushing a large crate from the back of a...Ch. 5 - It is often said that friction always opposes...Ch. 5 - If there is a net force on a particle in uniform...Ch. 5 - A curve in a road has a bank angle calculated and...Ch. 5 - You swing a ball on the end of a lightweight...Ch. 5 - The centrifugal force is not included in the...Ch. 5 - A professor swings a rubber stopper in a...Ch. 5 - To keep the forces on the riders within allowable...Ch. 5 - A tennis ball drops from rest at the top of a tall...Ch. 5 - You throw a baseball straight upward with speed 0....Ch. 5 - You throw a baseball straight upward. If you do...Ch. 5 - You have two identical tennis balls and fill one...Ch. 5 - A ball is dropped from rest and feels air...Ch. 5 - A ball is dropped from rest and feels air...Ch. 5 - When a balled baseball moves with air drag, when...Ch. 5 - A ball is thrown from the edge of a high cliff....Ch. 5 - Two 25.0-N weights are suspended at opposite ends...Ch. 5 - In Fig. E5.2 each of the suspended blocks has...Ch. 5 - A 75.0-kg wrecking ball hangs from a uniform,...Ch. 5 - BIO Injuries to the Spinal Column. In the...Ch. 5 - A picture frame hung against a wall is suspended...Ch. 5 - A large wrecking ball is held in place by two...Ch. 5 - Find the tension in each cord in Fig. E5.7 if the...Ch. 5 - A 1130-kg car is held in place by a light cable on...Ch. 5 - A man pushes on a piano with mass 180 kg; it...Ch. 5 - In Fig. E5.10 the weight w is 60.0 N. (a) What is...Ch. 5 - BIO Stay Awake! An astronaut is inside a 2.25 106...Ch. 5 - A rocket of initial mass 125 kg (including all the...Ch. 5 - CP Genesis Crash. On September 8, 2004, the...Ch. 5 - Three sleds are being pulled horizontally on...Ch. 5 - Atwoods Machine. A 15.0-kg load of bricks hangs...Ch. 5 - CP An 8.00-Kg block of ice, released from rest at...Ch. 5 - A light rope is attached to a block with mass 4.00...Ch. 5 - CP Runway Design. A transport plane lakes off from...Ch. 5 - CP A 750.0-kg boulder is raised from a quarry 125...Ch. 5 - Apparent Weight. A 550-N physics student stands on...Ch. 5 - CP BIO Force During a Jump. When jumping straight...Ch. 5 - CP CALC A 2540-kg test rocket is launched...Ch. 5 - CP CALC A 2.00-kg box is moving to the right with...Ch. 5 - CP CALC A 5.00-kg crate is suspended from the end...Ch. 5 - BIO The Trendelenburg Position. After emergencies...Ch. 5 - In a laboratory experiment on friction, a 135-N...Ch. 5 - CP A stockroom worker pushes a box with mass 16.8...Ch. 5 - A box of bananas weighing 40.0 N rests on a...Ch. 5 - A 45.0-kg crate of tools rests on a horizontal...Ch. 5 - Some sliding rocks approach the base of a hill...Ch. 5 - A box with mass 10.0 kg moves on a ramp that is...Ch. 5 - A pickup truck is carrying a toolbox, but the rear...Ch. 5 - You are lowering two boxes, one on top of the...Ch. 5 - Consider the system shown in Fig. E5.34. Block A...Ch. 5 - CP Stopping Distance. (a) If the coefficient of...Ch. 5 - CP A 25.0-kg box of textbooks rests on a loading...Ch. 5 - Two crates connected by a rope lie on a horizontal...Ch. 5 - A box with mass m is dragged across a level floor...Ch. 5 - CP As shown in Fig. E5.34, block A (mass 2.25 kg)...Ch. 5 - You throw a baseball straight upward. The drag...Ch. 5 - A large crate with mass m rests on a horizontal...Ch. 5 - (a) In Example 5.18 (Section 5.3), what value of D...Ch. 5 - A stone with mass 0.80 kg is attached to one end...Ch. 5 - BIO Force on a Skaters Wrist. A 52-kg ice skater...Ch. 5 - A small remote-controlled car with mass 1.60 kg...Ch. 5 - 5.46A small car with mass 0.800 kg travels at...Ch. 5 - A small model car with mass m travels at constant...Ch. 5 - A flat (unbanked) curve on a highway has a radius...Ch. 5 - A 1125-kg car and a 2250-kg pickup truck approach...Ch. 5 - The Giant Swing at a county fair consists of a...Ch. 5 - In another version of the Giant Swing (see...Ch. 5 - A small button placed on a horizontal rotating...Ch. 5 - Rotating Space Stations. One problem for humans...Ch. 5 - The Cosmo Clock 21 Ferris wheel in Yokohama,...Ch. 5 - An airplane flies in a loop (a circular path in a...Ch. 5 - A 50.0-kg stunt pilot who has been diving her...Ch. 5 - Stay Dry! You tie a cord to a pail of water and...Ch. 5 - A bowling ball weighing 71.2 N (16.0 lb) is...Ch. 5 - BIO Effect on Blood of Walking. While a person is...Ch. 5 - An adventurous archaeologist crosses between two...Ch. 5 - Two ropes are connected to a steel cable that...Ch. 5 - In Fig. P5.62 a worker lifts a weight w by pulling...Ch. 5 - In a repair shop a truck engine that has mass 409...Ch. 5 - A horizontal wire holds a solid uniform ball of...Ch. 5 - A solid uniform 45.0-kg ball of diameter 32.0 cm...Ch. 5 - CP A box is sliding with a constant speed of 4.00...Ch. 5 - CP BIO Forces During Chin-ups. When you do a...Ch. 5 - CP CALC A 2.00-kg box is suspended from the end of...Ch. 5 - CALC A 3.00-kg box that is several hundred meters...Ch. 5 - CP A 5.00-kg box sits at rest at the bottom of a...Ch. 5 - Two boxes connected by a light horizontal rope are...Ch. 5 - A 6.00-kg box sits on a ramp that is inclined at...Ch. 5 - CP An 8.00-kg box sits on a ramp that is inclined...Ch. 5 - CP In Fig. P5.74, m1 = 20.0 kg and = 53.1. The...Ch. 5 - CP You place a book of mass 5.00 kg against a...Ch. 5 - Block A in Fig. P5.76 weighs 60.0 N. The...Ch. 5 - A block with mass m1 is placed on an inclined...Ch. 5 - BIO The Flying Leap of a Flea. High-speed motion...Ch. 5 - Block A in Fig. P5.79 weighs 1.20 N, and block B...Ch. 5 - CP Elevator Design. You are designing an elevator...Ch. 5 - CP CALC You are standing on a bathroom scale in an...Ch. 5 - A hammer is hanging by a light rope from the...Ch. 5 - A 40.0-kg packing case is initially at rest on the...Ch. 5 - If the coefficient of static friction between a...Ch. 5 - Two identical 15.0-kg balls, each 25.0 cm in...Ch. 5 - CP Traffic Court. You are called as an expert...Ch. 5 - Block A in Fig. P5.87 weighs 1.90 N, and block B...Ch. 5 - CP Losing Cargo. A 12.0-kg box rests on the level...Ch. 5 - Block A in Fig. P5.89 has mass 4.00 kg, and block...Ch. 5 - Two blocks connected by a cord passing over a...Ch. 5 - In terms of m1, m2, and g, find the acceleration...Ch. 5 - Block B, with mass 5.00 kg, rests on block A, with...Ch. 5 - Two objects, with masses 5.00 kg and 2.00 kg, hang...Ch. 5 - Friction in an Elevator. You are riding in an...Ch. 5 - A block is placed against the vertical front of a...Ch. 5 - Two blocks, with masses 4.00 kg and 8.00 kg, are...Ch. 5 - Block A, with weight 3w, slides down an inclined...Ch. 5 - Jack sits in the chair of a Ferris wheel that is...Ch. 5 - Bunked Curve I. A curve with a 120-m radius on a...Ch. 5 - Banked Curve II. Consider a wet roadway banked as...Ch. 5 - Blocks A, B, and C are placed as in Fig. P5.101...Ch. 5 - You are riding in a school bus. As the bus rounds...Ch. 5 - CALC You throw a rock downward into water with a...Ch. 5 - A 4.00-kg block is attached to a vertical rod by...Ch. 5 - On the ride Spindletop at the amusement park Six...Ch. 5 - A 70-kg person rides in a 30-kg cart moving at 12...Ch. 5 - A small bead can slide without friction on a...Ch. 5 - A physics major is working to pay her college...Ch. 5 - DATA In your physics lab, a block of mass m is at...Ch. 5 - DATA A road heading due cast passes over a small...Ch. 5 - DATA You are an engineer working for a...Ch. 5 - Moving Wedge. A wedge with mass M rests on a...Ch. 5 - Figure P5.112 5.113A wedge with mass M rests on a...Ch. 5 - Double Atwoods Machine. In Fig. P5.114 masses m1...Ch. 5 - A ball is held at rest at position A in Fig....Ch. 5 - FRICTION AND CLIMBING SHOES. Shoes made for the...Ch. 5 - FRICTION AND CLIMBING SHOES. Shoes made for the...Ch. 5 - FRICTION AND CLIMBING SHOES. Shoes made for the...
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