34. The weight of a rectangular block of low-density mate- rial is 15.0 N. With a thin string, the center of the hori- zontal bottom face of the block is tied to the bottom of a beaker partly filled with water. When 25.0% of the block's volume is submerged, the tension in the string is 10.0 N. (a) Find the buoyant force on the block. (b) Oil of density 800 kg/m3 is now steadily added to the bea- ker, forming a layer above the water and surround- ing the block. The oil exerts forces on each of the four sidewalls of the block that the oil touches. What are the directions of these forces? (c) What happens to the string tension as the oil is added? Explain how the oil has this effect on the string tension. (d) The string breaks when its tension reaches 60.0 N. At this moment, 25.0% of the block's volume is still below the water line. What additional fraction of the block's vol- ume is below the top surface of the oil?

Question
34. The weight of a rectangular block of low-density mate-
rial is 15.0 N. With a thin string, the center of the hori-
zontal bottom face of the block is tied to the bottom of
a beaker partly filled with water. When 25.0% of the
block's volume is submerged, the tension in the string is
10.0 N. (a) Find the buoyant force on the block. (b) Oil
of density 800 kg/m3 is now steadily added to the bea-
ker, forming a layer above the water and surround-
ing the block. The oil exerts forces on each of the
four sidewalls of the block that the oil touches. What
are the directions of these forces? (c) What happens
to the string tension as the oil is added? Explain how
the oil has this effect on the string tension. (d) The
string breaks when its tension reaches 60.0 N. At this
moment, 25.0% of the block's volume is still below the
water line. What additional fraction of the block's vol-
ume is below the top surface of the oil?

Image Transcription

34. The weight of a rectangular block of low-density mate- rial is 15.0 N. With a thin string, the center of the hori- zontal bottom face of the block is tied to the bottom of a beaker partly filled with water. When 25.0% of the block's volume is submerged, the tension in the string is 10.0 N. (a) Find the buoyant force on the block. (b) Oil of density 800 kg/m3 is now steadily added to the bea- ker, forming a layer above the water and surround- ing the block. The oil exerts forces on each of the four sidewalls of the block that the oil touches. What are the directions of these forces? (c) What happens to the string tension as the oil is added? Explain how the oil has this effect on the string tension. (d) The string breaks when its tension reaches 60.0 N. At this moment, 25.0% of the block's volume is still below the water line. What additional fraction of the block's vol- ume is below the top surface of the oil?

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