Energy related to position dependant force
The position-dependent force acting on an object is given by f(x)= -kx^2
k is a constant
at x=x1 m, the force is known to point in the negative x direction and have a
magnitude of F1 N
(a) Find the expression for potential energy U(x) associated with this force as a
function of x, assuming we assign a reference value of U2 joules at x = x2 m for the
potential energy
b) Find the position of the equilibrium of the object under the action of this force
x1=0.5, f1=50, u2=6, x2=1.5
i started by saying that
f(x1)= -k/4... 50= -k/4 therefore k= -200
u(x)= integral(f(x)) u(x)= -2kx+c 6= -2(-200)(1.5)+c c= -594
Have i started along the right lines? Any advice is welcome, and will be much appreciated.
k is a constant
at x=x1 m, the force is known to point in the negative x direction and have a
magnitude of F1 N
(a) Find the expression for potential energy U(x) associated with this force as a
function of x, assuming we assign a reference value of U2 joules at x = x2 m for the
potential energy
b) Find the position of the equilibrium of the object under the action of this force
x1=0.5, f1=50, u2=6, x2=1.5
i started by saying that
f(x1)= -k/4... 50= -k/4 therefore k= -200
u(x)= integral(f(x)) u(x)= -2kx+c 6= -2(-200)(1.5)+c c= -594
Have i started along the right lines? Any advice is welcome, and will be much appreciated.
(edited 10 years ago)
Quick Reply
Related discussions
- Effect of magnetic field on pair prooduction
- A level physics help
- Electrostatic forces
- Physical properties
- Bond breaking and intermolecular force A level
- Aeronautical & Aerospace Engineering
- Polarising effect A level Chem
- Electric Fields Help
- What can I do with a BEng or MEng?
- edexcel physics alevel question
- Ask Us Anything!
- international relations degree job prospects?
- why is the melting point of calcium sulfate high
- Should I switch from environmental to mechanical engineering?
- Why is tension not equal to weight in moments questions?
- Understanding physics #1
- Polarising effect and lattice enthalpy
- AQA A Level Chemistry
- CIE A-levels Physics
- maths in chemical engineering degree
Latest
Trending
Last reply 3 weeks ago
71 on the MAT, rejected for interview by both Oxford and Imperial.Trending
Last reply 3 weeks ago
71 on the MAT, rejected for interview by both Oxford and Imperial.
