4. A single conservative force F(x) acts on a 1.0 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is given by U(x) = x² – x J, where x is in meters. At x = 2.0 m the particle has a kinetic energy of 1.75 J. (a) What is the mechanical energy of the system? Make a plot of U(x) as a function of x and on the same graph draw the line that (b) represents the mechanical energy of the system. Find the least value of x the particle can reach as well as the the greatest value of x (c) the particle can reach. (d) For what value of x does F(x) = 0?
4. A single conservative force F(x) acts on a 1.0 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is given by U(x) = x² – x J, where x is in meters. At x = 2.0 m the particle has a kinetic energy of 1.75 J. (a) What is the mechanical energy of the system? Make a plot of U(x) as a function of x and on the same graph draw the line that (b) represents the mechanical energy of the system. Find the least value of x the particle can reach as well as the the greatest value of x (c) the particle can reach. (d) For what value of x does F(x) = 0?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![4. A single conservative force F(x) acts on a 1.0 kg particle that moves along an x axis. The
potential energy U(x) associated with F(x) is given by U(x) = x² - x J, where x is in meters.
At x = 2.0 m the particle has a kinetic energy of 1.75 J.
(a)
What is the mechanical energy of the system?
Make a plot of U(x) as a function of x and on the same graph draw the line that
(b)
represents the mechanical energy of the system.
(c)
the particle can reach.
(d)
Find the least value of x the particle can reach as well as the the greatest value of x
For what value of x does F(x) = 0?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32fa5d6c-9c5b-4d1e-8766-3fabf2e02b29%2Fa3e48bcd-da4b-47c5-9f04-f38fbb5cf4bc%2Fdlb9zdi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. A single conservative force F(x) acts on a 1.0 kg particle that moves along an x axis. The
potential energy U(x) associated with F(x) is given by U(x) = x² - x J, where x is in meters.
At x = 2.0 m the particle has a kinetic energy of 1.75 J.
(a)
What is the mechanical energy of the system?
Make a plot of U(x) as a function of x and on the same graph draw the line that
(b)
represents the mechanical energy of the system.
(c)
the particle can reach.
(d)
Find the least value of x the particle can reach as well as the the greatest value of x
For what value of x does F(x) = 0?
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