- #1

Danya314

- 15

- 1

## Homework Statement

The problem is to use conservation of energy to determine the equation for the velocity at the equilibrium position of an oscillating mass on a vertical spring. The question says to use three types of energy. The question gives the equation, the problem is to solve for it. The equation is v=A(k/m)^.5

## Homework Equations

Uelastic+Ugravitational+Ukinetic=Uelastic+Ugravitational+Ukinetic

## The Attempt at a Solution

The initial position I chose was at the bottom of the mass's motion and the final at equilibrium, so inital kinetic and final elastic and gravitational are zero.

mgh+.5kx^2=.5mv^2

since h and x are the amplitude,

mgA+.5kA^2=.5v^2

simplifying gives,

2gA+(k/m)A^2=v^2

How do I get rid of the gravity term?