Question: A particle moves along the x-axis while acted on by a single conservative force parallel to the x. axis. The force corresponds to the potential-energy

A particle moves along the x-axis while acted on by a single conservative force parallel to the x. axis. The force corresponds to the potential-energy function graphed in Fig. 7.45. The particle is released from rest at point A.
(a) What is the direction of the force on the particle when it is at point A?
(b) At point B? (c) At what value of x is the kinetic energy of the particle a maximum?
(d) What is the force on the particle when it is at point C?
(e) What is the largest value of x reached by the particle during its motion?
(f) What value or values of x correspond to points of stable equilibrium?
(g) Of unstable equilibrium?

Step by Step Solution

★★★★★

3.58 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

IDENTIFY Use Eq 716 to relate F and Ux The equilibrium is stable where Ux is a local minimum and the ... 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)

P-M-P-E (159).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

A 4.00-kg particle moves along the x axis. Its position varies with time according to x = t + 2.0t3, where x is in meters and t is in seconds. Find (a) The kinetic energy at any time t, (b) The...

A 200-g particle is released from rest at point A along the horizontal diameter on the inside of a frictionless, hemispherical bowl of radius R = 30.0 cm (Fig. P8.52). Calculate (a) The gravitational...

A particle moves along the x axis from x = 12.8 m to x = 23.7 m under the influence of a force F= 375/x3 +3.75x Where F is in newtons and x is in meters. Using numerical integration, determine the...

A particle moves along the x-axis while acted on by a single conservative force parallel to the x-axis. The force corresponds to the potential-energy function graphed in Fig. P7.86. The particle is...

7 . A particle moves along the x - axis while acted on by a single conservative force parallel to the x - axis. The force corresponds to the potential energy function graphed in the figure below. The...

7.86 - A particle moves along the x-axis while acted on by a Figure P7.86 single conservative force paral- U() lel to the x-axis. The force corre- sponds to the potential-energy 4.0 A C function...

A particle moves along the x - axis and is acted upon only by a single conservative force. The graph shows the potential energy function associated with that force. The force on the particle at x = 2...

DO NOT USE UNLOCKS What is the maximum segment length of a 100Base-FX network,Thelast character('X', etc) refers to the line code method used. Line code is a pattern of voltage, current or photons...

The experimental result differs from the assumption. The result shows that the ring oscillator frequencies can be grouped into two groups, where the first group is the high frequency group for the...

Using the data in the attached Excel file (MutualFundReturns.xlsx), please determine whether theres a relationship between type of investment and return. Please include all you work in your...

Find the coefficients a, b, and c so that the graph of f(x) = ax2+bx+c passes through the points (1, 2), (-1, 6), and (2, 3).

Polycom Systems earned $553 million last year and paid out 25 percent of earnings in dividends. a. By how much did the companys retained earnings increase? b. With 100 million shares outstanding and...

More on the meaning of statistically significant. Another student, when asked why statistical significance appears so often in research reports, says, Because saying that results are significant...

Suppose 0.010 M sodium sulfide (NaS2) is added to the solution above (in #7) containing nickel nitrate (NiNO3) and ammonia (NH3). Would you expect nickel(II) sulfide (NiS) to precipitate? The Ksp of...

people like Frank were negatively affected by the Pandemic, Shirley Fisher and her husband Jake were very creative- They turned their little company (a C Corporation) that was ready to close down and...

The internal energy of a gas decreases by 1.65 kJ when it transfers 1.87 kJ of energy in the form of heat to the surroundings. (a) Calculate the work done by the gas on the surroundings. (b) Does the...

A company recognizes a loss as a result performing a lower-of-cost-or-market analysis of existing inventory, but does not recognize appreciation in the market value of inventory as a result such...

1. In corn, there are 3 different systems of cytoplasmic-genic male sterility: cms T and cms C which are sporophytic and cms S which is gametophytec. Male fertility can be restored with each of the...

a. Fill in the missing numbers in the following income statement: (Do not round intermediate calculations and round your answers to the nearest whole number, e.g. 32.) Sales Costs Depreciation EBIT...