Physics for Science and Engineering With Modern Physics, VI - Student Study Guide
4th Edition
ISBN: 9780132273244
Author: Doug Giancoli
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 4, Problem 60P
(III) A particle of mass m, initially at rest at x = 0, is accelerated by a force that increases in time as F = Ct2. Determine its velocity v and position x as a function of time.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A ball is thrown up at a speed of 4:0 m/s. Find the
maximum height reached by the ball. Take g = 10 m/s".
(5) In 1992, a 14 kg meteorite struck a car in Peekskill, NY, leaving a 20-cm-deep dent in the trunk. (a) If the meteorite was moving at 500 m/s before striking the car, what was the magnitude of its acceleration while stopping? Indicate any assumptions you made. (b) What other questions can you answer using the data in the problem?
(b) What is the acceleration of the runner at t=11 s?
10 m/s
10
v(m/s)
5
# 8 10 12 14 16
t(s)
Chapter 4 Solutions
Physics for Science and Engineering With Modern Physics, VI - Student Study Guide
Ch. 4.4 - Suppose you watch a cup slide on the (smooth)...Ch. 4.5 - Return to the first Chapter-Opening Question, page...Ch. 4.5 - A massive truck collides head-on with a small...Ch. 4.5 - If you push on a heavy desk, does it always push...Ch. 4.7 - A 10.0-kg box is dragged on a horizontal...Ch. 4 - Why does a child in a wagon seem to fall backward...Ch. 4 - A box rests on the (frictionless) bed of a truck....Ch. 4 - If the acceleration of an object is zero, are no...Ch. 4 - If an object is moving, is it possible for the net...Ch. 4 - Only one force acts on an object. Can the object...
Ch. 4 - When a golf ball is dropped to the pavement, it...Ch. 4 - If you walk along a log floating on a lake, why...Ch. 4 - Why might your foot hurt if you kick a heavy desk...Ch. 4 - When you are running and want to slop quickly, you...Ch. 4 - (a) Why do you push down harder on the pedals of a...Ch. 4 - A father and his young daughter are ice skating....Ch. 4 - Suppose that you are standing on a cardboard...Ch. 4 - A stone hangs by a fine thread from the ceiling,...Ch. 4 - The force of gravity on a 2-kg rock is twice as...Ch. 4 - Would a spring scale carried to the Moon give...Ch. 4 - You pull a box with a constant force across a...Ch. 4 - When an object falls freely under the influence of...Ch. 4 - Compare the effort (or force) needed to lift a...Ch. 4 - Which of the following objects weighs about 1 N:...Ch. 4 - According to Newtons third law. each team in a tug...Ch. 4 - When you stand still on the ground, how large a...Ch. 4 - Whiplash sometimes results from an automobile...Ch. 4 - Mary exerts an upward force of 40N to hold a bag...Ch. 4 - A bear sling, Fig. 430, in used in some national...Ch. 4 - (I) What force is needed to accelerate a child on...Ch. 4 - (1) A net force of 265N accelerates a bike and...Ch. 4 - (I) What is the weight of a 68-kg astronaut (a) on...Ch. 4 - (I) How much tension must a rope withstand if it...Ch. 4 - (II) Superman must stop a 120-km/h train in 150 m...Ch. 4 - (II) What average force is required to stop a...Ch. 4 - (II) Estimate the average force exerted by a...Ch. 4 - (II) A 0.140-kg baseball traveling 35.0 m/s...Ch. 4 - (II) A fisherman yanks a fish vertically out of...Ch. 4 - (II) A 20.0-kg box rests on a table. (a) What is...Ch. 4 - (II) What average force is needed to accelerate a...Ch. 4 - (II) How much tension must a cable withstand if it...Ch. 4 - (II) A 14.0-kg bucket is lowered vertically by a...Ch. 4 - (II) A particular race car can cover a...Ch. 4 - (II) A 75-kg petty thief wants to escape from a...Ch. 4 - (II) An elevator (mass 4850 kg) is to he designed...Ch. 4 - (II) Can cars stop on a dime? Calculate the...Ch. 4 - (II) A person stands on a bathroom scale in a...Ch. 4 - (II) High-speed elevators function under two...Ch. 4 - (II) Using focused laser light, optical tweezers...Ch. 4 - (II) A rocket with a mass of 2.75 106 kg exerts a...Ch. 4 - (II) (a) What is the acceleration of two falling...Ch. 4 - (II) An exceptional standing jump would raise a...Ch. 4 - (II) The cable supporting a 2125-kg elevator has a...Ch. 4 - (III) The 100-m dash can be run by the best...Ch. 4 - (III) A person jumps from the roof of a house...Ch. 4 - (I) A box weighing 77.0 N rests on atable. A rope...Ch. 4 - (I) Draw the free-body diagram for a basketball...Ch. 4 - (I) Sketch the tree body diagram of a baseball (a)...Ch. 4 - (I) A 650-N force acts in a northwesterly...Ch. 4 - (II) Christian is making a Tyrolean traverse as...Ch. 4 - (II) A window washer pulls herself upward using...Ch. 4 - (II) One 3.2-kg paint bucket is hanging by a...Ch. 4 - (II) The cords accelerating the buckets in Problem...Ch. 4 - (II) Two snowcats in Antarctica are towing a...Ch. 4 - (II) A train locomotive is pulling two cars of the...Ch. 4 - (II) The two forces F1 and F2 shown in Fig. 4-40a...Ch. 4 - (II) At the instant a race began, a 65-kg sprinter...Ch. 4 - (II) A mass m is at rest on a horizontal...Ch. 4 - Prob. 40PCh. 4 - (II) Uphill escape ramps are sometimes provided to...Ch. 4 - (II) A child on a sled reaches the bottom of a...Ch. 4 - (II) A skateboarder, with an initial speed of...Ch. 4 - (II) As shown in Fig. 4-41, five balls (masses...Ch. 4 - (II) A 27-kg chandelier hangs from a ceiling on a...Ch. 4 - (II) Three blocks on a frictionless horizontal...Ch. 4 - (II) Redo Example 413 but (a) set up the equations...Ch. 4 - (II) The block shown in Fig. 4-43 has mass m = 7.0...Ch. 4 - (II) A block is given an initial speed of 4.5 m/s...Ch. 4 - (II) An object is hanging by a string from your...Ch. 4 - (II) Figure 4-45 shows a block (mass mA) on a...Ch. 4 - (II) (a) If mA = 13.0 kg and mB = 5.0 kg in Fig....Ch. 4 - (III) Determine a formula for the acceleration of...Ch. 4 - (III) Suppose the pulley in Fig. 446 is suspended...Ch. 4 - (III) A small block of mass m rests on the sloping...Ch. 4 - (III) The double Atwood machine shown in Fig. 4-48...Ch. 4 - (III) Suppose two boxes on a frictionless table...Ch. 4 - (III) The two masses shown in Fig, 450 are each...Ch. 4 - (III) Determine a formula for the magnitude of the...Ch. 4 - (III) A particle of mass m, initially at rest at x...Ch. 4 - (III) A heavy steel cable of length and mass M...Ch. 4 - A person has a reasonable chance of surviving an...Ch. 4 - A 2.0-kg purse is dropped 58 m from the top of the...Ch. 4 - Toms hang glider supports his weight using the six...Ch. 4 - A wet bar of soap (m = 150 g) slides freely down a...Ch. 4 - A cranes trolley at point P in Fig. 4-53 moves for...Ch. 4 - A block (mass mA) lying on a fixed frictionless...Ch. 4 - (a) In Fig. 454, if mA = mB = 1.00 kg and 33.0,...Ch. 4 - The masses mA and mB slide on the smooth...Ch. 4 - A 75.0-kg person stands on a scale in an elevator....Ch. 4 - A city planner is working on the redesign of a...Ch. 4 - If a bicyclist of mass 65 kg (including the...Ch. 4 - A bicyclist can coast down a 5.0 hill at a...Ch. 4 - Francesca dangles her watch from a thin piece of...Ch. 4 - (a) What minimum force F is needed to lift the...Ch. 4 - In the design of a supermarket, there are to be...Ch. 4 - A jet aircraft is accelerating at 3.8m/s2 as it...Ch. 4 - A 7650-kg helicopter accelerates upward at 0.80...Ch. 4 - A super high-speed 14-car Italian train has a mass...Ch. 4 - A fisherman in a boat is using a 10-lb test...Ch. 4 - An elevator in a tall building is allowed to reach...Ch. 4 - Two rock climbers, Bill and Karen, use safety...Ch. 4 - Three mountain climbers who are roped together in...Ch. 4 - A doomsday asteroid with a mass of 1.0 1010kg is...Ch. 4 - A 450-kg piano is being unloaded from a truck by...Ch. 4 - Consider the system shown in Fig. 462 with mA =...Ch. 4 - A 1.5-kg block rests on top of a 7.5-kg block...Ch. 4 - You are driving home in your 750-kg car at 15 m/s....Ch. 4 - (II) A large crate of mass 1500 kg starts sliding...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Approximately how many feet is the Missouri River above sea level? Height above sea level: _________ feet
Applications and Investigations in Earth Science (9th Edition)
Modified True/False 9. A giant bacterium that is large enough to be seen without a microscope is Selenomonas.
Microbiology with Diseases by Body System (5th Edition)
Fibrous connective tissue consists of ground substance and fibers that provide strength, support, and flexibili...
Human Biology: Concepts and Current Issues (8th Edition)
25. Electric vehicles increase speed by using an electric motor that draws energy from a battery. When the vehi...
College Physics: A Strategic Approach (3rd Edition)
Two culture media were inoculated with four different bacteria. After incubation, the following results were ob...
Microbiology: An Introduction
15. A good scientific hypothesis is based on existing evidence and leads to testable predictions. What hypothes...
Campbell Biology: Concepts & Connections (9th 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
- Only E, G, and Iarrow_forward(II) An object starts from rest and falls under the influence of gravity. Draw graphs of (a) its speed and (b) the distance it has fallen, as a function of time from t= 0 to t=5.00 s .Ignore air resistance.arrow_forward*12-116. The automobile is originally at rest s = 0. If it then starts to increase its speed at v = (0.05t²) ft/s² , where t is in seconds, de- termine the magnitudes of its velocity and acceleration at s = 550ft.arrow_forward
- A skater of mass m = 60 kg is coasting along a smooth, level road with initial velocity v = given by: 3 m/s East. A sudden gust of wind exerts a time-varying force on him F(t) = ( 30 N) (1 – t) East | where t is measured in seconds. The gust of wind lasts from t = 0.0 to t = 2.0 seconds. What is the skater's speed at 2.0 seconds?arrow_forwardA car weighing 2.5 metric tons and traveling at 90 km/h hits a 500 m long stretch of black ice. Unfortunately, due to skidding, neither accelerating nor braking has any effect on the speed! The driver manages to maintain steady straight direction of motion and the only impact is provided by the ice friction force, which is numerically equal to 4v² Newtons, where the velocity v of the car is measured in m/sec. (a) Using Newton's Second Law F = ma, set up a mathematical model for the position x(t) and velocity v(t) of the car as functions of time t. Start by drawing a diagram and choosing a consistent system of units based on kg, m, sec (1 ton = 1000 kg, 1 m/sec = 3.6 km/h, 1 N = 1 kg · m/sec²). Introduce and label the variables, show the units and write down the differential equations and the intial conditions. (b) Use the model in part a to calculate v(t) and x(t). Fully show the process of solving the initial value problems. (c) Based on your work so far, how long will it take to pass…arrow_forwardAn object of mass 20 kg is released from rest and allowed to fall under the influence of gravity. Assume that the force in Newtons due to air resistance is -28v where v is the velocity of the object in m/s. If it is initially dropped from a height of 800 meters, approximately how long will it take to reach the ground? Use x (t) as the distance below the point from where it was dropped.arrow_forward
- One stone is dropped from the top of a tall cliff and a second stone with the same mass is thrown vertically from the same cliff with a velocity of 10 m/s [down], 1 second after the first. Calculate the distance below the top of the cliff at which the second stone overtakes the first.arrow_forward2. (a) A motorboat is moving at a speed 10 m/s when its motor shuts and 10 s later the boat slows down to 5 m/s. The only force acting on the boat is the resistance of water and it is proportional dv to the velocity of the boat, = -ku, where k is a constant. Find the equation for the velocity dt of the boat and fix the constant k using v(10) = 5 condition. (b) Integrate the velocity from part (a) and find r(t) assuming (0) distance the boat will travel? = 0. What is the maximumarrow_forward.arrow_forward
- (i) Determine the speed of the train at t = 10 s. (ii) Determine the speed of the train at t= 110 s. (iii) Determine the elapsed time t' before the train again comes to rest. cion: a (m/s?) 1.0 t (s) 10 110arrow_forward(b) A frictionless incline is 5.00 m long (the distance from the top of the incline to the bottom, measured along the incline). The vertical distance from the top of the incline to the bottom is 1.66 m. A small block is released from rest at the top of the incline and slides down the incline. (i) How long does it take the block to reach the ground? 3.25 s (ii) What is the speed of the block just before it strikes the ground? 1.75 m/sarrow_forwardJonel is a designer of an airport for small planes. One kind of airplane that might use that airfield must reach a speed before takeoff of at least 27.8m/s and can accelerate at 2 m/s^2. (a) If the runway is 150 m long, can this airplane reach the proper speed to take off? (b) if not, what minimum length must the runway have?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Newton's Second Law of Motion: F = ma; Author: Professor Dave explains;https://www.youtube.com/watch?v=xzA6IBWUEDE;License: Standard YouTube License, CC-BY