Newtonian Mechanics - single particle

[McHead36]

Homework Statement

The speed of a particle of mass [m] varies with the distance[x] as v(x)=ax^(-n). Assume v(x=0)=0 at t=0.
a)Find the force F(x) responsible
b)Determine x(t)
c)Determine F(t)

Homework Equations

The Attempt at a Solution

My solution to part a is F(x)=-ma^2nx^(-2n-1).

Homework Statement

Homework Equations

The Attempt at a Solution

 

[pam]

F=m(dv/dt), not what you did.

 

[McHead36]

Thats how i got to my answer for part a. I started with that and solved it to get F(x)=-ma^2nx^(-2n-1). This answer was also in the back of my book. I am stuck on part b and c.

 

[Meir Achuz]

The a in your first formula is not the acceleration.
It is just an arbitrary constant.

 

[McHead36]

I know this already too. I put in "a" because I don't have a way to put in alpha.