PHYS 212 FOR SCI+ENG W/MAST PHYS >ICP<
1st Edition
ISBN: 9781323834831
Author: Knight
Publisher: PEARSON C
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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 (Fsp)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
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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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 (FSp)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.
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Chapter 6 Solutions
PHYS 212 FOR SCI+ENG W/MAST PHYS >ICP<
Ch. 6 - Are the objects described here in equilibrium...Ch. 6 - A ball tosses straight up has v = 0 at its highest...Ch. 6 - Kat, Matt, and Nat are arguing about why a physics...Ch. 6 - If you know all of the forces acting on a moving...Ch. 6 - An elevator, hanging from a single cable, moves...Ch. 6 - An elevator, hanging from a single cable, moves...Ch. 6 - Are the following statements true or false?...Ch. 6 -
8. An astronaut takes his bathroom scale to the...Ch. 6 -
9. The four balls in FIGURE Q6.9 have been...Ch. 6 - Prob. 10CQ
Ch. 6 - Prob. 11CQCh. 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 -
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