hey Given: James Bond is trapped on a small raft in a steep walled pit filled wi
ID: 1859138 • Letter: H
Question
hey
Given: James Bond is trapped on a small raft in a steep walled pit filled with water as shown in the figure. Both the raft and pit have square cross-sections with a side length of 1=3 ft for the raft and L=4 ft for the pit. In the raft there is a steel anchor (SGa=7.85) with a volume of Va=1 ft3. In the current configuration, the distance from the floor of the raft to the top of the pit is H=7.5 ft. Unfortunately, Bond can only reach a distance of R=7 ft from the floor of the raft. Find: In order for Bond to escape, would it be helpful for him to toss the anchor overboard? Justify your answer with calculations. (Hint: The mass of water is conserved in this problem.) Solution:Explanation / Answer
1. The total weight of the raft (empty raft + James Bond + anchor) = 1,040 pounds.
2. The weight of the anchor is 489.8 pounds.
3.The depth of the water displaced by the total weight of the raft is 1.852 feet.
4.The total volume of water surrounding the raft is 44.963 ft3 and the volume of water initially surrounding the raft is 12.963 ft3
5.When the anchor is thrown overboard, the volume of water surrounding the raft is 6.858 ft3 and the raft and James rise 0.44 ft to a height of 7.94 ft.
6. Bottom line, James Bond does not make it out of the pit!
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.