QuestionFigure 1
Figure 2
In Figure 1, a block of mass $m$ has speed $v$ when it reaches the bottom of a ramp. When the block reaches the top of the ramp, the height of the block has increased by $h$ and the gravitational potential energy of the block-Earth system has changed by an amount $\Delta U_{g 1}$. In Figure 2 , a block of mass $2 m$ has speed $v / 2$ when it reaches the bottom of the same ramp. When the block reaches the top of the ramp, the height of the block increases by $h$ and the gravitational potential energy of the block-Earth system changes by an amount $\Delta U_{g 2}$. Which of the following correctly relates $\Delta U_{g 2}$ to $\Delta U_{g 1}$ ?