1) A rectangular box (like the one shown in the theory) has a base with 6 cm sides, is 5 cm tall and has mass 120 grams. a) Calculate the volume of the box. b) Calculate the density of the box. c) Calculate the estimated depth to which the box will float in water. d) Calculate the buoyancy force on the floating box. e) Calculate how much additional mass could be added to the box before it begins to sink. f) Suppose the mass was added in the form of pennies. At most, how many pennies could be placed into the box without it sinking? (See section 2.3)

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Chapter1: Units, Trigonometry. And Vectors
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asking.
1) A rectangular box (like the one shown in the theory) has a base with 6 cm sides, is 5 cm tall
and has mass 120 grams.
a) Calculate the volume of the box.
b) Calculate the density of the box.
c) Calculate the estimated depth to which the box will float in water.
d) Calculate the buoyancy force on the floating box.
e) Calculate how much additional mass could be added to the box before it begins to sink.
f) Suppose the mass was added in the form of pennies. At most, how many pennies could be
placed into the box without it sinking? (See section 2.3)
2) A billiard ball has radius 2.9 cm. Calculate the buoyancy force on a billiard ball completely
submerged in water.
38°F Clear ^ C E
DELL
Transcribed Image Text:in asking. 1) A rectangular box (like the one shown in the theory) has a base with 6 cm sides, is 5 cm tall and has mass 120 grams. a) Calculate the volume of the box. b) Calculate the density of the box. c) Calculate the estimated depth to which the box will float in water. d) Calculate the buoyancy force on the floating box. e) Calculate how much additional mass could be added to the box before it begins to sink. f) Suppose the mass was added in the form of pennies. At most, how many pennies could be placed into the box without it sinking? (See section 2.3) 2) A billiard ball has radius 2.9 cm. Calculate the buoyancy force on a billiard ball completely submerged in water. 38°F Clear ^ C E DELL
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