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michael simone

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## Homework Statement

A spring of mass “m” is put on a launcher elevated at “θ” degrees above the horizontal. It is pull back a distance “x” and launched at a target that must travel vertically “dy“ and a horizontal distance of “dx”. The spring has a constant of “k”.Derive an equation (or series of equations) given m, θ, dy ,dx, k so you can calculate a value of x.Example The target is 3.5 m away and the launder is elevated at 30o and it is 1.2 m high, the mass of the spring is 4.5 g, what distance should the spring be pulled back to land in a target that is 0.40 m tall if k = 18 N/m?

## Homework Equations

PTi= PTf

Ei=Ef

ENERGY

KINETIC (Ek)

Ek=1/2 MV^2

SPRINGS(elastic Ee)

Ee=1/2 KX^2

E1=E2 IE

Potential (Eg)

Eg= mgh or mg(delta y)

vx= vicos (theta)

Projectile motion and Energy[/B]

## The Attempt at a Solution

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