# How far along the incline is the highest point from the release point?

1. Oct 20, 2011

### helpmeimdumb

1. The problem statement, all variables and given/known data
A block with mass m=2.00kg is placed against a spring on a frictionless incline with angle θ=30.0°. The spring, with spring constant k=19.6N/cm, is compressed 20.0cm and then released.

2. Relevant equations
How far along the incline is the highest point from the release point?

3. The attempt at a solution
k=19.6N/cm=1960N/m k=spring coefficient
x=20cm=.20m x=distance spring was compressed
WK=work
F=force
d=distance
Fspring= -kx= -(1960N/m)(.20m)= -392N

392N=Fspring WK=F×d

Last edited by a moderator: Jan 7, 2016
2. Oct 20, 2011

### bbbeard

Do you know the formula for the potential energy of a spring? Do you know the formula for gravitational potential energy? Basically to solve this problem you have to write and solve equation that says "energy before equals energy after". And for both "before" (when the spring is fully compressed) and after (when the mass is at its maximum height), the kinetic energy is zero. The hardest part is doing the trig.

BBB