A spherical object with a moment of inertia of 0.584mr2 starts from rest rolling down a 2.25-m high incline. If the sphere is rolling without slipping
I the best equation to use for this problem is k(initial)+u(initial)=k(final)+u(final)
The Attempt at a Solution
I stretch the equation 1/2mv^2(initial)+1/2Iω^(initial)+mgh(initial)=1/2mv^2(final)+1/2Iω^2(final)+mgh(final).
since the object started from rest the initial kinetic energy and the final potential energy is zero, which leads me to this equation
mgh(initial)=1/2mv^2(final)+1/20.584mr^2ω^2(final). As I continue reduce the equations I round up with this.
the linear speed I came up with was 5.279m/s.
Did I do this right?