A 1.9-kg rock is released from rest at the surface of a pond 1.8 $\mathrm{m}$ deep. As the rock falls, a constant upward force of 4.6 $\mathrm{N}$ is exerted on it by water resistance. Calculate the nonconservative work, $W_{\mathrm{nc}}$ done by water resistance on the rock, the gravitational potential energy of the system, $U,$ the kinetic energy of the rock, $K,$ and the total mechanical energy of the system, $E,$ when the depth of the rock below the water's surface is (a) $0 \mathrm{m} (\mathrm{b}) 0.50 \mathrm{m},$ and $(\mathrm{c}) 1.0 \mathrm{m} .$ Let $y=0$ be at the bottom of the pond.