1st Edition

ISBN: 9781323834831

Author: Knight

Publisher: PEARSON C

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Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

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Textbook Question

Chapter 6, Problem 74EAP

A spring-loaded toy gun exerts a variable force on a plastic ball as the spring expands. Consider a horizontal spring and a ball of mass m whose position when barely touching a fully expanded spring is x = 0. The ball is pushed to the left, compressing the spring. You'll learn in Chapter 9 that the spring force on the ball, when the ball is at position x (which is negative), can be written as (F_s_p)_x= -kx, where k is called the spring constant. The minus sign is needed to make the x-component of the force positive. Suppose the ball is initially pushed to x₀= -L, then released and shot to the right.

a. Use what you've learned in calculus to prove that

a x = v x d v x d x

b. Find an expression, in terms of m, k, and L, for the speed of the ball as it comes off the spring at x = 0.

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Chapter 6, Problem 73EAP

Chapter 6, Problem 75EAP

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Chapter 6 Solutions

PHYS 212 FOR SCI+ENG W/MAST PHYS >ICP<

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Ch. 6 - Prob. 11CQ Ch. 6 - A hand presses down on the book in FIGURE Q6.12....Ch. 6 - Boxes A and B in FIGURES Q6.13 both remain at...Ch. 6 - Suppose you push a hockey puck of mass m across...Ch. 6 - A block pushed along the floor with velocity...Ch. 6 - A crate of fragile dishes is in the back of a...Ch. 6 - Five balls move through the air as shown in FIGURE...Ch. 6 - The three ropes in FIGURE EX6.1 are tied to a...Ch. 6 - The three ropes in FIGURE EX6.2 are tied to a...Ch. 6 - A football coach sits on a sled while two of his...Ch. 6 - A 20 kg loudspeaker is suspended 2.0 m below the...Ch. 6 - A 65 kg gymnast wedges himself between two closely...Ch. 6 - A construction worker with a weight of 850 N...Ch. 6 - In an electricity experiment, a 1.0 g plastic ball...Ch. 6 - The forces in FIGURE EX6.8 act on a 2.0 kg object....Ch. 6 - The forces in FIGURE EX6.9 act on a 2.0 kg object....Ch. 6 - FIGURE EX6.10 shows the velocity graph of a 2.0 kg...Ch. 6 - FIGURE EX6.11 shows the force acting on a 2.0 kg...Ch. 6 - A horizontal rope is tied to a 50 kg box on...Ch. 6 - A 50 kg box hangs from a rope. What is the tension...Ch. 6 - A 2.0 × 107 kg train applies its brakes with the...Ch. 6 - A 8.0 × 104 kg spaceship is at rest in deep space....Ch. 6 - The position of a 2.0 kg mass is given by x = (2t3...Ch. 6 - A woman has mass of 55 kg. a. What is her weight...Ch. 6 - It takes the elevator in a skyscraper 4.0 s to...Ch. 6 - Zach, whose mass is 80 kg, is in an elevator...Ch. 6 - What thrust does a 200 g model rocket need in...Ch. 6 - What thrust does a 200 g model rocket need in...Ch. 6 - A 20,000 kg rocket has a rocket motor that...Ch. 6 - The earth is 1.50 × 1011 m from the sun. The...Ch. 6 - Bonnie and Clyde are sliding a 300 kg bank safe...Ch. 6 - A stubborn, 120 kg mule sits down and refuses to...Ch. 6 - A 10 kg crate is placed on a horizontal conveyor...Ch. 6 - Bob is pulling a 30 kg filing cabinet with a force...Ch. 6 - A rubber-wheeled kg cart rolls down a 15° concrete...Ch. 6 - A 4000 kg truck is parked on a 15° slope. How big...Ch. 6 - A 1500 kg car skids to a halt on a wet road where...Ch. 6 - A 50,000 kg locomotive is traveling at 10 m/s when...Ch. 6 - You and your friend Peter are putting new shingles...Ch. 6 - An Airbus A320 jetliner has a takeoff mass of...Ch. 6 - 34. A medium-sized jet has a 3.8-m-diameter...Ch. 6 - A 75 kg skydiver can be modeled as a rectangular...Ch. 6 - A 6.5-cm-diameter ball has a terminal speed of 26...Ch. 6 - A 2.0 kg object initially at rest at the origin is...Ch. 6 - A 5.0 kg object initially at rest at the origin is...Ch. 6 - The 1000 kg steel beam in FIGURE P6.39 is...Ch. 6 - Henry, whose mass is 95 kg, stands on a bathroom...Ch. 6 - An accident victim with a broken leg is being...Ch. 6 - Seat belts and air bags save lives by reducing the...Ch. 6 - The piston of a machine exerts a constant force on...Ch. 6 - Compressed air is used to fire a 50 g ball...Ch. 6 - a. A rocket of mass m is launched straight up with...Ch. 6 - A rifle with a barrel length of 60 cm fires a 10 g...Ch. 6 - A truck with a heavy load has a total mass of 7500...Ch. 6 - An object of mass m is at rest at the top of a...Ch. 6 - Prob. 49EAP Ch. 6 - A baggage handler drops your 10 kg suitcase onto a...Ch. 6 - A 2.0 kg wood block is launched up a wooden ramp...Ch. 6 - It’s a snowy day and you're pulling a friend along...Ch. 6 - A large box of mass M is pulled across a...Ch. 6 - Prob. 54EAP Ch. 6 - You're driving along at 25 m/s with your aunt's...Ch. 6 - The 2.0 kg wood box in FIGURE P6.56 slides down a...Ch. 6 - A 1.0 kg wood block is pressed against a vertical...Ch. 6 - A person with compromised pinch strength in his...Ch. 6 - A ball is shot from a compressed-air gun at twice...Ch. 6 - Starting from rest, a 2500 kg helicopter...Ch. 6 - Astronauts in space "weigh" themselves by...Ch. 6 - A particle of mass m moving along the x-axis...Ch. 6 - At t = 0, an object of mass m is at rest at x = 0...Ch. 6 - At t = 0, an object of mass m is at rest at x = 0...Ch. 6 - Prob. 65EAP Ch. 6 - A 60 kg skater is gliding across frictionless ice...Ch. 6 - Prob. 67EAP Ch. 6 - Problems 68 and 69 show a free-body diagram. For...Ch. 6 - Problems 68 and 69 show a free-body diagram. For...Ch. 6 - Prob. 70EAP Ch. 6 - In Problems 70 through 72 you are given the...Ch. 6 - In Problems 70 through 72 you are given the...Ch. 6 - A block of mass m is at rest at the origin at t =...Ch. 6 - A spring-loaded toy gun exerts a variable force on...Ch. 6 - FIGURE CP6.7S shows an accelerometer, a device for...Ch. 6 - An object moving in a liquid experiences a linear...Ch. 6 - Prob. 77EAP Ch. 6 - An object with cross section A is shot...

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