Question

Force on a particle as a function of position is given as ??=?2−?−6. a. Find the...

Force on a particle as a function of position is given as ??=?2−?−6.

a. Find the equilibrium points.

b. Find the potential energy function V(x).

c. Graph F(x) and V(x).

d. Label the equilibrium points on the graphs.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

the equlibrium points are x=-2 and x=3

x=-2 is the unstable equlibrium point and x=3 is the stable eqilibrium point.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
particle of mass m moves under a conservative force where the potential energy function is given...
particle of mass m moves under a conservative force where the potential energy function is given by V = (cx) / (x2 + a2 ), and where c and a are positive constants. Find the position of stable equilibrium and the period of small oscillations about it.
A particle is moving with the given data. Find the position of the particle. a(t) =...
A particle is moving with the given data. Find the position of the particle. a(t) = t2 − 5 t + 4, s'(0) = 0, s(1) = 1 s(t) = Consider the function f(x) = x^2 - 2 x. Sketch the graph of f(x) and divide the closed interval [-2,4] into 3 equal subintervals (To get full credit, you must sketch the graph and corresponding rectangles in your submitted work). a. Sketch the corresponding rectangles by using Right endpoints in...
A particle is moving with the given data. Find the position function of the particle a(t)=...
A particle is moving with the given data. Find the position function of the particle a(t)= 10+3t+3t^2, v(0)= 4, s(2) = 10.
3. The velocity function of a particle is moving on a coordinate line is given by...
3. The velocity function of a particle is moving on a coordinate line is given by ?(?) = 6?^2 − 42? + 60 where ? is in meters per seconds and ? is in seconds. a) When is the particle at rest? b) When does the particle have positive velocity? c) When does the particle have negative acceleration? d) When is the particle speeding up? e) Sketch the position-time graph of the particle and the acceleration-time graph of the particle...
A force ?(?) = −5.0?2+7.0? Newtons acts on a particle. a) How much work does the...
A force ?(?) = −5.0?2+7.0? Newtons acts on a particle. a) How much work does the force do on the particle as it moves from ? = 2.0m to ? = 5.0m, in Joules? b) Find the potential energy due to this force, at position x = 2, in Joules, by finding the potential energy as a function of x, U(x). You should use the reference point of the potential energy being 0 when x = 0. c) Using either...
2). A particle moving on the x-axis has a time-dependent position (t) given by the equation...
2). A particle moving on the x-axis has a time-dependent position (t) given by the equation x (t) = ct - bt^3. Where the units of x are meters (m) and time t in seconds (s). (Hint: you must get derivatives, you need graph paper) (a) So that the position in x has units of meter which are the units of the constants c and b? Sic = 5yb = 1.Desdeti = 0satf = 3s. (b) What is its displacement,...
A 14.00 kg particle starts from the origin at time zero. Its velocity as a function...
A 14.00 kg particle starts from the origin at time zero. Its velocity as a function of time is given by v with arrow = 9t2î + 4tĵ where v with arrow is in meters per second and t is in seconds. (Use the following as necessary: t.) (a) Find its position as a function of time. r =________ (c) Find its acceleration as a function of time. a=_______m/s^2 ( (d) Find the net force exerted on the particle as...
(a) Sketch a graph of the potential energy function U(x) = kx2 /2 + Ae−αx2 ,...
(a) Sketch a graph of the potential energy function U(x) = kx2 /2 + Ae−αx2 , where k, A, and α are constants. (b) What is the force corresponding to this potential energy? (c) Suppose a particle of mass m moving with this potential energy has a velocity va when its position is x = a . Show that the particle does not pass through the origin unless A ≤ mva^ 2 + ka^2 / 2 ( 1 − e^...
Suppose that the position vector for a particle is given as a function of time by...
Suppose that the position vector for a particle is given as a function of time by vector r (t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 1.90 m/s, b = 1.10 m, c = 0.128 m/s2, and d = 1.12 m. (a) Calculate the average velocity during the time interval from t = 2.05 s to t = 3.75 s. vector v = m/s (b) Determine the velocity...
Practice Derivatives and integrals. A particle’s velocity is described by the function v = ( t^2...
Practice Derivatives and integrals. A particle’s velocity is described by the function v = ( t^2 – 7t + 10) m/s, where t is in s. a) Graph the velocity function for t in the interval 0s-6s. b) At what times does the particle reach its turning points? c) Find and graph the position function x (t). d) Find and graph the acceleration function a(t). e) What is the particle’s acceleration at each of the turning points?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT