Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
4th Edition
ISBN: 9780133942651
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 6, Problem 75EAP
FIGURE CP6.7S shows an accelerometer, a device for measuring the horizontal acceleration of cars and airplanes. A ball is free to roll on a parabolic track described by the equation
y = x2, where both x and y are in meters. A scale along the bottom is used to measure the ball's horizontal position x.
a. Find an expression that allows you to use a measured position x (in m) to compute the acceleration ax (in m/s2). (For example, ax= 3x is a possible expression.)
b. What is the acceleration if x = 20 cm?
FIGURE CP6.75
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
a. enter a symbolic expression for the average acceleration vector of the car during the given time period in terms of the problem and standard unit vectors.b. What is the magnitude, in meters per squared second, of the car's acceleration during the given time period.
R1.A.6. A bullet is fired on level ground at 231 m/s, 60° above the horizontal.
Setup with a labeled diagram.
Calculate how long (t) the bullet was airborne.
Calculate how far (x) the bullet hits the ground.
In the Soapbox Derby, young participants build nonmotorized cars with very lowfriction wheels. Cars race by rolling down a hill. The track at Akron’s Derby Downs, where the national championship is held, begins with a 55-ft-long section tilted 13° below horizontal.a. What is the maximum possible acceleration of a car moving down this stretch of track?b. If a car starts from rest and undergoes this acceleration for the full 55 ft, what is its final speed in m/s?
Chapter 6 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
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 -
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. 49EAPCh. 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. 54EAPCh. 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. 65EAPCh. 6 - A 60 kg skater is gliding across frictionless ice...Ch. 6 - Prob. 67EAPCh. 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. 70EAPCh. 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. 77EAPCh. 6 - An object with cross section A is shot...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- In 2070, Adam wins a vacation at the new Moon Country Club. While vacationing Adam hits a golf ball off a cliff 300 meters high with an initial speed of 40 meters per second at an angle of 45° to the horizontal on the Moon(gravity on the Moon is one-sixth of that on Earth). Round all answers to three decimal places. a. Find parametric equations that describe the position of the ball as a function of time, t (round coefficients to three decimal places). b. How long is the ball in the air? c. When is the ball at its maximum height? What is that maximum height? d. When the ball lands, how far is it from Adam(the horizontal distance the ball traveled)?arrow_forwarda. The position of an object is given by x(t) = A + B*t + C*t³ (yes, those exponents are intentional, this is NOT constant acceleration). Provided that x is measured in meters and t in seconds, what must be the units for the constants A, B, and C. b. Another position function is given by y(t) = D # E*t1 + F*t3/2). What are its velocity, and acceleration functions with time? c. Bonus: choose and declare your values for D, E and F, and make graphs of y(t), vy(t), and a,(t). Don't forget appropriate units at each step.arrow_forwardThe a – s graph for a rocket moving along a straight track has been experimentally determined. The rocket starts at s = 0 when v =0. a (ft/s?) a = 5 + 6(y5 – 10)3 s (ft) 100 Part A Determine its speed when it is at s = 65 ft . Express your answer to three significant figures and include the appropriate units. v = Part B Determine its speed when it is at s = 150 ft . Use Simpson's rule with n = 100. Express your answer to three significant figures and include the appropriate units. v =arrow_forward
- 1c. A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 18.5 m/s. The cliff is h = 20.0 m above a flat, horizontal beach as shown in the figure. Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx= vy=arrow_forwardHelparrow_forwardA. B. Do step by step and mention variables and unitsarrow_forward
- A frustrated office worker throws his laptop out of his business's high- rise office building. The height, h, in meters of the laptop above the ground at t seconds can be modelled by h(t) = 125-5t². a. Determine the average rate of change between the third and fourth second of the laptop's flight. b. Estimate the rate at which the laptop hits the ground.arrow_forwardAn object is thrown off the top of a building with velocity 32 m/s at an angle 34 degrees with respect to the horizontal. It takes 6.2 s for the object to land. a. How high is the building in meters? b. What is the horizontal distance that the object travels in meters?arrow_forwardIn 1780, in what is now referred to as “Brady’s Leap,” Captain Sam Brady of the U.S. Continental Army escaped certain death from his enemies by running horizontally off the edge of the cliff above Ohio’s Cuyahoga River, which is confined at that spot to a gorge. He landed safely on the far side of the river. It was reported that he leapt 22 ft across while falling 20 ft. Tall tale, or possible?a. What is the minimum speed with which he’d need to run off the edge of the cliff to make it safely to the far side of the river?b. The world-record time for the 100 m dash is approximately 10 s. Given this, is it reasonable to expect Brady to be able to run fast enough to achieve Brady’s leap?arrow_forward
- A stone is thrown outward, at an angle of 65 degrees with the vertical , into the river from the edge of the cliff that is 125 meters above the wate level at a velocity of 40 kilometers per hour. Use g = 9.81 m/sec2 . 1. Determine the distance from the edge of cliff to the point where the stone drops. Answer in 2 decimal places. 2. At what height above the water level will the stone starts to fall? Answer in 2 decimal places.arrow_forwardA nerve impulse travels along a myelinated neuron at 66.5 m/s. a. What is this speed in mi/h? b. What is this speed in cm/ms?arrow_forwardA pleasearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Vectors and 2D Motion: Crash Course Physics #4; Author: CrashCourse;https://www.youtube.com/watch?v=w3BhzYI6zXU;License: Standard YouTube License, CC-BY