- #1

- 43

- 1

## Homework Statement

A block of mass 10kg starts at the top of a frictionless track which forms a quarter circle with radius 10m. It is given an initial downward velocity of 10m/s. What is the velocity at the bottom of the track?

## Homework Equations

KE

_{translational, f}+ KE

_{rotational, f}+PE

_{f}=KE

_{translational, i}+KE

_{rotational, i}+ PE

_{f}

KE, rotational=1/2Iw

^{2}

KE, translational=1/2mv

^{2}

PE=mgh

I=MR

^{2}

w=v/r

## The Attempt at a Solution

I believe the initial equation would be set up like this.

1/2mv

_{f}

^{2}+ 1/2 MR

^{2}(V/R)

^{2}+mgh

_{f}=1/2mv

_{i}

^{2}+1/2 MR

^{2}(V/R)

^{2}+mgh

_{i}

which would then reduce to:

vf

^{2}=vi

^{2}+gh

_{initial}

This does not seem like the likely way to do it because we are not given the height of the mass at the top. Should I be using the rotational and translational KE in the equation? At what point is it rotational and what point translational?