Force attracting a particle and time required

LazyMan
Messages
4
Reaction score
0

Homework Statement


A particle of mass m is released from rest a distance b from a fixed origin of force that attracts the particle according to the inverse square law:
F(x) = -kx-2

Show that the time required for the particle to reach the origin is
Pi times (mb3/8k)1/2


Homework Equations


I have no idea what you need


The Attempt at a Solution


I am sad to say I have no clue how to even star this one. Any help would be nice, just don't give me the answer just yet.
 
Physics news on Phys.org
Use energy mechanical energy conservation and solve for dx/dt. After you do that you might see what comes next.
 

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
View full post »

Thread 'Help to convert units of a simple formula'

The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
View full post »

Similar threads

Time dependent position given position dependent force
Replies
3
Views
3K
Timing Resolution Required In Particle Detector
Replies
1
Views
1K
Particle moving down a cone (Newtonian formulation)
Replies
4
Views
4K
What Are the Equilibrium Points of a Pendulum System with an Elastic Force?
Replies
3
Views
2K
Find the min/max r of particle with a central force
Replies
14
Views
3K
Gravitational force on a particle due to different type of objects
Replies
1
Views
3K
Degrees of Freedom for a Lagrangian System
Replies
2
Views
3K
Calculating Gravitational Forces and Potential Energy Using Newton's Laws
Replies
6
Views
2K
Why do particles in a falling coach get closer together?
Replies
1
Views
1K
Lagrangian of a 2 mass rotating rod
Replies
10
Views
3K

Hot Threads

Recent Insights

Back
Top