Question: A conservative force = (6.0x - 12) N, where x is in meters, acts on a particle moving along an x axis.The potential energy U

A conservative force = (6.0x - 12) N, where x is in meters, acts on a particle moving along an x axis.The potential energy U associated with this force is assigned a value of 27 J at x = 0. (a) Write an expression for U as a function of x, with U in joules and x in meters. (b) What is the maximum positive potential energy? At what (c) negative value and (d) positive value of x is the potential energy equal to zero?

Step by Step Solution

★★★★★

3.50 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a With energy in joules and length in meters we have Therefore with ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

885-P-E-G-L (290).docx

120 KBs Word File

Students Have Also Explored These Related Electricity and Magnetism Questions!

Is the electric force a conservative force? Why or why not? (See Chapter 6)

A20 kg object is acted on by a conservative force given by F = 3.0x 5.0x 2 , with Fin Newtons and x in meters. Take the potential energy associated with the force to be zero when the object is at x...

A conservative force F(x) acts on a 2.0 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in Figure. When the particle is at x = 2.0m, its velocity is...

R G A single conservative force F-(7.0x-11) N. where x is in meters, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 29 J at x = 0....

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 where x is in meters. At x = 5.0 m the particle has a...

iii) A conscrvative force F = (4r - 18)i N, where x is in meters, acts on a particle moving along an r axis. The potential encergy U associated with this force is assigned a value of 22 J at x = 0....

A single conservative force F ( x ) acts on a 4 . 0 kg particle that moves along an x axis. The potential energy U ( x ) associated with F ( x ) is given by U ( x ) = - 2 xe ^ ( - x 5 ) where U is in...

1 6 . A 0 . 6 0 - kg particle has a speed of 2 . 0 m / s at point A and a kinetic energy of 7 . 5 J at point B . What is the total work done on the particle as it moves from A to B ? A . 1 . 2 J B ....

Question 1 In the figure, a block of mass m = 3.10 kg slides from rest a distance d down a frictionless incline at angle 0 = 26.0" where it runs into a spring of spring constant 440 N/m. When the...

PHYS1230: General Physics Problems Recall that the position of the minimum or maximum of a function U(x) is determined by du(x) = 0 dx va revis ed ofwillw bessbox F) Determine an expression for the...

(Pension Expense, Journal Entries) Latoya Company provides the following selected information related to its defined-benefit pension plan for 2010. (a) Compute pension expense and prepare the journal...

As your instructor directs, a. Identify at least five stories in one or more of the following data sets. b. Create visuals for three of the stories. c. Write a memo to your instructor explaining why...

In 2 0 2 2 , selected automobiles had an average cost of $ 1 5 , 5 0 0 . The average cost of those same automobiles is now $ 1 7 , 2 0 5 . What was the rate of increase for these automobiles between...

The number of earthquake tremors in a 12-month period appears to be distributed as a Poisson random variable with a mean of 6. Assume the number of tremors from one 12-month period is independent of...

A fire ant, searching for hot sauce in a picnic area, goes through three displacements along level ground: d1 for 0.40 m southwest (that is, at 45o from directly south and from directly west), d2 for...

In Fig. 3-32, a cube of edge length a sirs with one corner at the origin of an xyz coordinate system. A body diagonal is a line that extends from one corner to another through the center. In...

In Fig. 3-33, a vector a with a magnitude of 17.0m is directed at angle = 56.0o counter clock-wise from the + x axis. What are the components? (a) ax and (b) ay of the vector? A second co-ordinate...

The price that would be received to sell an asset or paid to transfer a liability in an orderiy Sale beweer die paluupaisa measurement date is termed tangible value intangible value book value fair...

You own three stocks: 1,000 shares of Apple Computer, 10,000 shares of Cisco Systems, and 5,000 shares of Goldman Sachs. The current share prices and expected returns of Apple, Cisco, and Goldman...

Q2. You bought 120 call with 10 days to expiration. Stock now is priced at 100. Annual stdev is $100. a. what is option's delta and gamma and 1-day theta? b. if stock moves from 100 to 120 OVER TWO...