Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 4, Problem 66P
You’re asked to calibrate a device used to measure vertical acceleration in helicopters. The device consists of a mass m hanging from a massless spring of constant k. Your job is to express the acceleration as a function of the position y of the mass relative to where it is when there’s no acceleration. Take the positive y-axis to point upward.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
In Fig, a slab of mass m1 =40 kg rests on a frictionless floor, and a block of mass m2 =10kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
A 3.5 kg particle moves along an x axis according to x(t) = −12 + 5t2 − 4t3, with xin meters and t in seconds. In unit-vector notation, what is the net force acting on theparticle at t = 6 s?
A particle of mass 1.3 kg is subject to a force that is always pointed towards the East but whose magnitude changes linearly with time t. The magnitude of the force is given as F = 5t, and has units of newtons. Let the x-axis point towards the East.
a)Determine the change in the velocity Δv, in meters per second, of the particle between t = 0 and t = 1.4 sec.
b)
Chapter 4 Solutions
Essential University Physics: Volume 1 (3rd Edition)
Ch. 4.2 - A curved barrier lies on a horizontal tabletop, as...Ch. 4.2 - A nonzero net force acts on an object. Which of...Ch. 4.4 - A popular childrens book explains the...Ch. 4.5 - For each of the following situations, would the...Ch. 4.6 - The figure shows two blocks with two forces acting...Ch. 4.6 - (1) Would the answer to (a) in Example 4.5 change...Ch. 4 - Distinguish the Aristotelian and Galilean/New...Ch. 4 - A ball bounces off a wall with the same speed it...Ch. 4 - We often use the term inertia to describe human...Ch. 4 - Does a body necessarily move in the direction of...
Ch. 4 - A truck crashes into a stalled car. A student...Ch. 4 - A barefoot astronaut kicks a ball, hard, across a...Ch. 4 - The surface gravity on Jupiters moon Io is...Ch. 4 - In paddling a canoe, you push water backward with...Ch. 4 - Is it possible for a nonzero net force to act on...Ch. 4 - As your plane accelerates down the runway, you...Ch. 4 - A driver tells passengers to buckle their...Ch. 4 - If you cut a spring in half, is the spring...Ch. 4 - As youre sitting on a chair, theres a...Ch. 4 - Section 4.2 Newtons First and Second Laws A subway...Ch. 4 - A 61-Mg railroad locomotive can exert a 0.12-MN...Ch. 4 - A small plane accelerates down the runway at 7.2...Ch. 4 - A car leaves the road traveling at 110 km/h and...Ch. 4 - By how much does the force required to stop a car...Ch. 4 - Kinesin is a motor protein responsible for moving...Ch. 4 - Starting from rest and undergoing constant...Ch. 4 - In an egg-dropping contest, a student encases an...Ch. 4 - In a front-end collision, a 1300-kg car with...Ch. 4 - Show that the units of acceleration can be written...Ch. 4 - Your spaceship crashes on one of the Suns planets....Ch. 4 - Your friend can barely lift a 35-kg concrete block...Ch. 4 - A cereal box says net weight 340 grams. Whats the...Ch. 4 - Youre a safely engineer for a bridge spanning the...Ch. 4 - The gravitational acceleration at the...Ch. 4 - A 50-kg parachutist descends at a steady 40 km/h....Ch. 4 - A 930-kg motorboat accelerates away from a dock at...Ch. 4 - An elevator accelerates downward at 2.4 m/s2. What...Ch. 4 - At 560 metric tons, the Airbus A-380 is the worlds...Ch. 4 - Youre an engineer working on Ares I, NASAs...Ch. 4 - You slop into an elevator, and it accelerates to a...Ch. 4 - What upward gravitational force does a 5600-kg...Ch. 4 - Your friends mass is 65 kg. If she jumps off a...Ch. 4 - What force is necessary to stretch a spring 48 cm,...Ch. 4 - A 35-N force is applied to a spring with spring...Ch. 4 - A spring with spring constant k = 340 N/m is used...Ch. 4 - A 1.25-kg object is moving in the x-direction at...Ch. 4 - An airplane encounters sudden turbulence, and you...Ch. 4 - A 74-kg tree surgeon rides a cherry picker lift to...Ch. 4 - A dancer executes a vertical jump during which the...Ch. 4 - Find expressions for the force needed to bring an...Ch. 4 - An elevator moves upward at 5.2 m/s. Whats its...Ch. 4 - A 2.50-kg object is moving along the x-axis at...Ch. 4 - Blocks of 1.0, 2.0, and 3.0 kg are lined up on a...Ch. 4 - A child pulls an 11-kg wagon with a horizontal...Ch. 4 - Biophysicists use an arrangement of laser beams...Ch. 4 - A force F is applied to a spring of spring...Ch. 4 - A 22(M)-kg airplane pulls two gliders, the first...Ch. 4 - A biologist is studying the growth of rats on the...Ch. 4 - An elastic towrope has spring constant 1300 N/m....Ch. 4 - A 2.0-kg mass and a 3.0-kg mass are on a...Ch. 4 - Youre an automotive engineer designing the crumple...Ch. 4 - Frogs tongues dart out to catch insects, with...Ch. 4 - Two large crates, with masses 640 kg and 490 kg,...Ch. 4 - What force do the blades of a 4300-kg helicopter...Ch. 4 - What engine thrust (force) is needed to accelerate...Ch. 4 - Your engineering firm is asked to specify the...Ch. 4 - With its fuel tanks half full, an F-35A jet...Ch. 4 - Two springs have the same unstretched length but...Ch. 4 - Although we usually write Newtons second law for...Ch. 4 - A railroad car is being pulled beneath a grain...Ch. 4 - A block 20% more massive than you hangs from a...Ch. 4 - Youre asked to calibrate a device used to measure...Ch. 4 - A spider of mass ms drapes a silk thread of...Ch. 4 - Figure 4.27 shows vertical accelerometer data from...Ch. 4 - A hockey stick is in contact with a 165-g puck for...Ch. 4 - After parachuting through the Martian atmosphere,...Ch. 4 - Your airplane is caught in a brief, violent...Ch. 4 - Youre assessing the Engineered Material Arresting...Ch. 4 - Two masses are joined by a massless string. A 30-N...Ch. 4 - A mass M hangs from a uniform rope of length L and...Ch. 4 - Jerk is the rate of change of acceleration, and...Ch. 4 - Laptop computers are equipped with accelerometers...Ch. 4 - Laptop computers are equipped with accelerometers...Ch. 4 - Laptop computers are equipped with accelerometers...Ch. 4 - Laptop computers are equipped with accelerometers...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Starting with the formula for the moment of inertia of a rod rotated around an axis through one end perpendicul...
College Physics
(II) A stamp collector uses a converging lens with focal length 28cm to view a stamp 18cm in front of the lens....
Physics for Scientists and Engineers with Modern Physics
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective
77. Why are today’s autos designed to crumple upon impact?
Conceptual Physical Science (6th Edition)
Explain all answers clearly, with complete sentences and proper essay structure if needed. An asterisk (*) desi...
Cosmic Perspective Fundamentals
79. How many moles of Na+ must move per unit area of membrane to change Vm from −70 mV to +30 mV, if we assume ...
College Physics (10th Edition)
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
- If the vector components of the position of a particle moving in the xy plane as a function of time are x(t)=(2.5ms2)t2i and y(t)=(5.0ms3)t3j, when is the angle between the net force on the particle and the x axis equal to 45?arrow_forwardA particle of mass 1.05 kg is subject to a force that is always pointed towards the East but whose magnitude changes linearly with time t. The magnitude of the force is given as F = 4t, and has units of newtons. Let the x-axis point towards the East. Determine the change in x-coordinate in meters of the particle Δx between t = 0 and t = 2.4 if the initial velocity is 17.5 m/s, and pointed in the same direction as the force.arrow_forwardIn the figure, a slab of mass m1 = 40 kg rests on a frictionless floor, and a block of mass m2 = 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force F→ of magnitude 104 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?arrow_forward
- Given T, the tension in the string, calculate a₁, the magnitude of the vertical acceleration of the block of mass m₁. Express the acceleration magnitude a₁ in terms of m₁, g, and T. T = (m2a2)/2arrow_forwarda slab of mass m1 40 kg rests on a frictionless floor, and a block of mass m2 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40.A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?arrow_forwardThere is a particle with mass m = 2 kg attached to a smooth wire that is positioned horizontally so that the particle can only move freely in the horizontal direction. The particle initially moves with a constant velocity V0, = 7 m/s to the right, which is then pulled by a constant force at an angle that varies with time as shown below. If the function of the angle is θ(t) = 0.2t +0.3, where is calculated in radians and t is in seconds, and the magnitude of the constant force is F = 10 N. then calculate: (Review only for 0.3≤θ≤? ) a. The time it takes for the particle to reach its maximum acceleration! b. The velocity of the particle when the force is exactly on the vertical axis!)arrow_forward
- A dated box of dates, of mass 7.1 kg, is sent sliding up a frictionless ramp at an angle of θ to the horizontal. The figure here gives, as a function of time t, the component vx of the box's velocity along an x axis that extends directly up the ramp. What is the magnitude of the normal force on the box from the ramp?arrow_forwardan initially stationary block of mass m on a floor. A force of magnitude 0.500mg is then applied at upward angle u=20.What is the magnitude of the acceleration of the block across the floor if the friction coefficients are (a) ms = 0.600 and mk = 0.500 and (b) ms =0.400 and mk = 0.300?arrow_forwardIn the figure, a body with a mass of 2 kg moves under the influence of two constant forces F1 = 5N and F2 = 4N in the xy plane. At time t = 0, the object is at point 0 and its speed is V = 2i + j (m / s). What is the acceleration of the particle and its position after 2 seconds in terms of the unit vector?arrow_forward
- a 2 kg golf ball moves along an x axis according to x(t) = 10t^3 - 2.80t^2 + 7.4t +15 , with x in meters and t in seconds . in unit-vector notation , what is the net force acting on the particle at t= 5.20 s?arrow_forwardHow do you solve this? A particle of mass m is moving in the +x direction, and is subject to a force in the x direction of Fx(v) = -bv2 , where b is a constant and v is the particle's speed. If the initial position (at time t = 0) is zero, and the intial speed is v0 , find x(t).arrow_forwardThe x and y coordinates of a 4.00-kg particle moving in the xy plane under the influence of a net force F are given by x = t4 6t and y = 4t2 + 1, with x and y in meters and t in seconds. What is the magnitude of the force F at t = 4.00 s?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Drawing Free-Body Diagrams With Examples; Author: The Physics Classroom;https://www.youtube.com/watch?v=3rZR7FSSidc;License: Standard Youtube License