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Chapter 1: Q20DQ (page 390)

You are floating in a canoe in the middle of a swimming pool. Your friend is at the edge of the pool, carefully noting the level of the water on the side of the pool. You have a bowling ball with you in the canoe. If you carefully drop the bowling ball over the side of the canoe and it sinks to the bottom of the pool, does the water level in the pool rise or fall?

Short Answer

Expert verified

The water level of the pool will fall down.

Step by step solution

01

Concept of the buoyant force

When a particular object is denser than the liquid, then that object will immerse in the liquid. If the liquid density is higher, then the buoyant force will be greater.When the density of an object equals the fluid, buoyant force will become its weight.

02

Effect of the bowling ball on the water level of the swimming pool

A large amount of water is displaced when the bowling ball is in the floating canoe than submerged in the swimming pool.

The bowling ball displaces its weight of water when placed in a canoe, which can be considered to take up more space than the original volume of the ball. When the ball is sinking into the pool, it displaces only its volume.

Thus, the water level of the swimming pool will fall down.

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Most popular questions from this chapter

The driver of a car wishes to pass a truck that is traveling at a constant speed of20.0m/s(about41mil/h). Initially, the car is also traveling at20.0m/s, and its front bumper is24.0mbehind the truck’s rear bumper. The car accelerates at a constant 0.600m/s2, then pulls back into the truck’s lane when the rear of the car is26.0mahead of the front of the truck. The car islong, and the truck is 21.0m long. (a) How much time is required for the car to pass the truck? (b) What distance does the car travel during this time? (c) What is the final speed of the car?

For a spherical planet with mass M, volume V, and radius R,derive an expression for the acceleration due to gravity at the planet’s surface, g, in terms of the average density of the planet, ρ=M/V, and the planet’s diameter, D=2R. The table gives the values of Dand gfor the eight major planets:

(a) Treat the planets as spheres. Your equation for as a function of and shows that if the average density of the planets is constant, a graph of versus will be well represented by a straight line. Graph as a function of for the eight major planets. What does the graph tell you about the variation in average density? (b) Calculate the average density for each major planet. List the planets in order of decreasing density, and give the calculated average density of each. (c) The earth is not a uniform sphere and has greater density near its center. It is reasonable to assume this might be true for the other planets. Discuss the effect this nonuniformity has on your analysis. (d) If Saturn had the same average density as the earth, what would be the value of at Saturn’s surface?

According to the label on a bottle of salad dressing, the volume of the contents is 0.473 liter (L). Using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm, express this volume in cubic inches.

Calculate the earth’s gravity force on a 75-kg astronaut who is repairing the Hubble Space Telescope 600 km above the earth’s surface, and then compare this value with his weight at the earth’s surface. In view of your result, explain why it is said that astronauts are weightless when they orbit the earth in a satellite such as a space shuttle. Is it because the gravitational pull of the earth is negligibly small?

Question: According to the label on a bottle of salad dressing, the volume of the contents is 0.473 liter (L). Using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm, express this volume in cubic inches.
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