Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 7, Problem 27E
A particle slides back and forth on a frictionless track whose height as a function of horizontal position x is y = ax2, where a = 0.92 m−1. If the particle’s maximum speed is 8.5 m/s, find its turning points.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Question 6. The skateboarder in the drawing starts down the left side of the ramp with an
initial speed of 5.9 m/s. Neglect nonconservative forces, such as friction and air resistance, and find
the height h of the highest point reached by the skateboarder on the right side of the ramp. Ans:
1.8 m
All
The skateboarder in the drawing starts down the left
side of the ramp with an initial speed of 5.0 m/s.
Neglect nonconservative forces, such as friction and
air resistance, and find the height h of the highest
point reached by the skateboarder on the right side
of the ramp.
+
2.5
A particle slides back and forth on a frictionless track whose height as a function of horizontal position x is given by y=ax2, where a = 0.81 m-1. If the particle's maximum speed is 7.9 m/s, find the turning points of its motion.
Chapter 7 Solutions
Essential University Physics (3rd Edition)
Ch. 7.1 - Suppose it takes the same amount of work to push a...Ch. 7.2 - Gravitational force actually decreases with...Ch. 7.3 - A bowling ball is tied to the end of a long rope...Ch. 7.4 - For which of the following systems is (1)...Ch. 7.5 - A bowling ball is tied to the end of a long rope...Ch. 7.6 - The figure shows the potential energy associated...Ch. 7 - Figure 7.14 shows force vectors at different...Ch. 7 - Is the conservation-of-mechanical-energy principle...Ch. 7 - Why cant we define a potential energy associated...Ch. 7 - Can potential energy be negative? Can kinetic...
Ch. 7 - If the potential energy is zero at a given point,...Ch. 7 - If the difference in potential energy between two...Ch. 7 - If the difference in potential energy between two...Ch. 7 - A tightrope walker follows an essentially...Ch. 7 - If conservation of energy is a law of nature, why...Ch. 7 - Determine the work you would have to do to move a...Ch. 7 - Now lake Fig. 7.15 lo lie in a vertical plane, and...Ch. 7 - Rework Example 7.1, now taking the zero of...Ch. 7 - Find the potential energy associated with a 70-kg...Ch. 7 - You fly from Bostons Logan Airport, at sea level,...Ch. 7 - The potential energy associated with a 60-kg hiker...Ch. 7 - How much energy can be stored in a spring with k =...Ch. 7 - How far would you have to stretch a spring with k...Ch. 7 - A biophysicist grabs the ends of a DNA strand with...Ch. 7 - A skier starts down a frictionless 32 slope. After...Ch. 7 - A 10,000-kg Navy jet lands on an aircraft carrier...Ch. 7 - A 120-g arrow is shot vertically from a bow whose...Ch. 7 - In a railroad yard, a 35,000-kg boxcar moving at...Ch. 7 - You work for a toy company, and youre designing a...Ch. 7 - A 54-kg ice skater pushes off the wall of the...Ch. 7 - Prob. 25ECh. 7 - A particle slides along the frictionless track...Ch. 7 - A particle slides back and forth on a frictionless...Ch. 7 - A particle is trapped in a potential well...Ch. 7 - The reservoir at Northfield Mountain Pumped...Ch. 7 - The force in Fig. 7.14a is given by Fa=FoJ, where...Ch. 7 - A 1.50-kg brick measures 20.0 cm 8.00 cm 5.50...Ch. 7 - A carbon monoxide molecule can be modeled as a...Ch. 7 - A more accurate expression for the force law of...Ch. 7 - For small stretches, the Achilles tendon can be...Ch. 7 - The force exerted by an unusual spring when its...Ch. 7 - The force on a particle is given by F=Al/x2, where...Ch. 7 - A particle moves along the x-axis under the...Ch. 7 - As a highway engineer, youre asked to design a...Ch. 7 - A spring of constant k, compressed a distance x,...Ch. 7 - A child is on a swing whose 3.2-m-long chains make...Ch. 7 - With x x0 = h and a = g, Equation 2.11 gives the...Ch. 7 - The nuchal ligament is a cord-like structure that...Ch. 7 - A 200-g block slides back and forth on a...Ch. 7 - Automotive standards call for bumpers that sustain...Ch. 7 - A block slides on the frictionless loop-the-loop...Ch. 7 - The maximum speed of the pendulum bob in a...Ch. 7 - A mass m is dropped from height h above the top of...Ch. 7 - A particle with total energy 3.5 J is trapped in a...Ch. 7 - (a) Derive an expression for the potential energy...Ch. 7 - In ionic solids such as NaCl (salt), the potential...Ch. 7 - Repeat Exercise 19 for the case when the...Ch. 7 - As an energy-efficiency consultant, youre asked to...Ch. 7 - A spring of constant k = 340 N/m is used to launch...Ch. 7 - A bug slides back and forth in a bowl 15 cm deep,...Ch. 7 - A 190-g block is launched by compressing a spring...Ch. 7 - A block slides down a frictionless incline that...Ch. 7 - An 840-kg roller-coaster car is launched from a...Ch. 7 - A particle slides back and forth in a frictionless...Ch. 7 - A child sleds down a frictionless hill whose...Ch. 7 - A bug lands on top of the frictionless, spherical...Ch. 7 - A particle of mass m is subject to a force...Ch. 7 - A block of weight 4.5 N is launched up a 30...Ch. 7 - Your engineering department is asked to evaluate...Ch. 7 - Your roommate is writing a science fiction novel...Ch. 7 - You have a summer job at your universitys zoology...Ch. 7 - Biomechanical engineers developing artificial...Ch. 7 - Blocks with different masses are pushed against a...Ch. 7 - Nuclear fusion is the process that powers the Sun....Ch. 7 - Nuclear fusion is the process that powers the Sun....Ch. 7 - Nuclear fusion is the process that powers the Sun....Ch. 7 - Nuclear fusion is the process that powers the Sun....
Additional Science Textbook Solutions
Find more solutions based on key concepts
A point charge of q=5.0108 C is placed at the center of an uncharged spherical conducting shell of inner radius...
University Physics Volume 2
55. A thin glass slide (n = 1.53) that is 0.485 μm thick and surrounded by air is illuminated by a monochromati...
College Physics (10th Edition)
Using the definitions in Eqs. 1.1 and 1.4, and appropriate diagrams, show that the dot product and cross produc...
Introduction to Electrodynamics
What is the coefficient of performance of an ideal heat pump that has heat transfer from a cold temperature of ...
College Physics
The explanation of the statement that if the spring is stretched so far that it is permanently deformed its for...
Physics (5th Edition)
51. I A tennis player hits a ball 2.0 m above the ground. The ball leaves his racquet with a speed of 20.0 m/s ...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th 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
- The goal of a worker is to slide a m=20-kg crate up a L=2.5 m-long inclined at θ=25°. The worker was confident that he can do thisby giving it an initial speed of v1=4.5 m/s at the bottom and letting it go. However, the crate slides only d1 =1.7 m up the ramp, stops,and slides back down µk = 0.42 d. What is the work done by the friction force while mass is sliding down the inclined plane?e. What is the work done by the gravitation force while the mass is sliding down the inclinedplane?f. What is the kinetic energy of the mass when it just reaches the bottom of the inclined plane?arrow_forwardThe drawing shows a skateboarder moving at 6.90 m/s along a horizontal section of a track that is slanted upward by 0 = 46.0° above the horizontal at its end, which is 0.510 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track. Number 6.90m/s i H 0.510m Unitsarrow_forwardThe drawing shows a skateboarder moving at 6.70 m/s along a horizontal section of a track that is slanted upward by 0 = 48.0° above the horizontal at its end, which is 0.530 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track. 6.70m/s 0.530marrow_forward
- The skateboarder in the drawing starts down the left side of the ramp with an initial speed of 4.9 m/s. Neglect nonconservative forces, such as friction and air resistance, and find the height h of the highest point reached by the skateboarder on the right side of the ramp. ✔ < iarrow_forwardA bowling ball is attached to a 3.56-meter long cable and hung from the ceiling. The cable is kept taut and the ball is raised to an initial height of 1.66 meters above the classroom floor. It is released from rest and allowed to swing as a pendulum. Determine its speed (in m/s) when it is at a height of 1.12 meters above the floor. Answer: m/s (round to the nearest hundredth)arrow_forwardA cyclist coasts up a 10.7 degrees slope, traveling 24.0 m along the road to the top of the hill. If the cyclist's initial speed is 9.70 m/s, what is the final speed? Ignore friction and air resistance.arrow_forward
- A cyclist coasts up a 12.1° slope, traveling 16.0 m along the road to the top of the hill. If the cyclist's initial speed is 8.90 m/s, what is the final speed? Ignore friction and air resistance.arrow_forwardWhat is the speed of the particle when it reaches x = 24.00 m.arrow_forwardA small block moves at point A with a speed of 6 m/s. Its path is without friction until it reaches the section of length L= 8.6 m where the coefficient of friction is 0.65. The indicated heights are h1 = 5.8m,h2 = 1.8 m. What is the speed of the block at point D? ( Take g = 10 m/s, write the answer with 2 decimal places only).arrow_forward
- A block slides down a frictionless plane having an inclination of 20.0°. The block starts from rest at the top, and the length of the incline is 3.00 m. Find its speed when it reaches the bottom of the incline.arrow_forwardA small object is placed at the top of an incline that is essentially frictionless. The object slides down the incline onto a rough horizontal surface, where it stops in 5.0 s after traveling 60 m. (a) What is the speed of the object at the bottom of the incline and its acceleration along the horizontal surface? (b) What is the height of the incline?arrow_forwardA proton (mass m = 1.67 x 10-27 kg) is being accelerated along a straight line at 3.60 x 1013 m/s² in a machine. If the proton has an initial speed of 8.30 × 104 m/s and travels 4.90 cm, what then is (a) its speed and (b) the increase in its kinetic energy? (a) Number (b) Number i Units Units J m/sarrow_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 Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Work and Energy - Physics 101 / AP Physics 1 Review with Dianna Cowern; Author: Physics Girl;https://www.youtube.com/watch?v=rKwK06stPS8;License: Standard YouTube License, CC-BY