Basalt is a volcanic igneous rock formed from the rapid cooling of basaltic lava at or near the Earth’s surface. It is fine-grained, dark-colored, and rich in minerals like pyroxene and plagioclase.
A sediment core of 4 cm diameter and 35.81 cm height was collected. This core had an initial weight of 1000.00 g and upon drying the sediment, the weight decreased by 133.75 g. This core has a void ratio of 0.42857, where void ratio is defined as the ratio of volume of void to the volume of solid (Vv/Vs). The average density of the sediment in the core is ________ g/cm\(^3\).
A hillslope is shown below. If the area over the failure plane is 50 m\(^2\) and the weight of the hillslope material (W) is 2000 tons, the Factor of Safety (FOS) for this hillslope in dry conditions is ________.
Cohesion along failure plane = 196 kPa, Dip of failure plane = 60°, Internal friction angle = 30°, Area over failure plane = 50 m\(^2\), Weight of hillslope material = 2000 tons (Round off to two decimal places)