Final answer:
The Peterson-grabber, dredge, and core sampler are all used for collecting samples from the seafloor, with the core sampler providing a continuous vertical profile, while the other two are better for surface sediment.
Step-by-step explanation:
The Peterson-grabber, dredge, and core sampler are tools used by geologists and oceanographers to collect samples from the ocean floor for the purpose of studying stratigraphy, among other geological studies. A Peterson-grabber is a device that clamps down to scoop up loose surface sediment, similar to how the grabber mentioned with the searchlight and sensors might function. A dredge is designed to collect a larger area of sediment by dragging a basket across the seafloor. In contrast, a core sampler is used to extract a cylindrical section of sediment or rock, quite like taking a Play-Doh core sample with a straw to reveal the layers of sediment. This provides a continuous vertical profile of the subsurface, which is ideal for studying fine details of the stratigraphy. All three methods aim to obtain material from the seafloor to analyze and understand the geology and history of the Earth's crust, but they vary in the way in which they sample and the type of material they are best suited to collecting.