- #1
mch
- 5
- 0
I'm new to this site, so please bear with me.
1. Homework Statement
A particle of mass m has speed v(x) = α/√x. Calculate the force F(x) responsible. Then, calculate the displacement x(t) of the particle.
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The equations that I believe we are supposed to use are f=ma and f=m*dv/dt
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Since F= m*dv/dt, i tried this:
F = m*dv/dx*dx/dt = mv*dv/dx = -mvα/(2(x)^(3/2))
And that's as far as I could get for the first problem. However, this seems off because the force is in terms of two variables, right? V and x?
1. Homework Statement
A particle of mass m has speed v(x) = α/√x. Calculate the force F(x) responsible. Then, calculate the displacement x(t) of the particle.
Homework Equations
[/B]
The equations that I believe we are supposed to use are f=ma and f=m*dv/dt
The Attempt at a Solution
[/B]
Since F= m*dv/dt, i tried this:
F = m*dv/dx*dx/dt = mv*dv/dx = -mvα/(2(x)^(3/2))
And that's as far as I could get for the first problem. However, this seems off because the force is in terms of two variables, right? V and x?