How Do Gravitational Potential and Kinetic Energy Relate in Energy Conservation?

[okgo]

Homework Statement

Homework Equations

Wgravity = mgh
KE=1/2mv²

The Attempt at a Solution

I know the gravitational potential energy is different because mgh accounts for mass.
But the book says that B is correct. I don't know why because isn't the less mass you have the faster you go? 2KE/m=v²

 

[LowlyPion]

Homework Equations

Wgravity = mgh
KE=1/2mv²

The Attempt at a Solution

I know the gravitational potential energy is different because mgh accounts for mass.
But the book says that B is correct. I don't know why because isn't the less mass you have the faster you go? 2KE/m=v²

Step back a bit and look at the equations.

PE = KE at the bottom.

m*g*h = 1/2*m*v²

v² = 2*g*h

The mass has canceled out.