A boat develops a leak and, after its passengers are rescued, eventually sinks to the bottom of a lake. When the boat is at the bottom, the force of the lake bottom on the boat is

$($a$)$ greater than the weight of the boat,

$($b$)$ equal to the weight of the boat,

$($c$)$ less than the weight of the boat,

$($d$)$ equal to the weight of the displaced water, or

$($e$)$ equal to the buoyant force on the boat.