The two identical beakers in FIGURE Q14.9 are filled to the same height with water. Beaker B has a plastic sphere floating in it. Which beaker, with all its contents, weighs more? Or are they equal? Explain.
Both beakers will weigh the same.
Two identical beakers in are filled to the same height with water.
Beaker B has a plastic sphere floating in it.
Weight is defined as total force acting downwards towards earth's center.
In this case the force due to weight of the ball is balanced by the buoyant force as the ball is floating.
So the net weight is the same as without ball.
So both will have same weight.
One day when you come into physics lab you find several plastic hemispheres floating like boats in a tank of fresh water. Each lab group is challenged to determine the heaviest rock that can be placed in the bottom of a plastic boat without sinking it. You get one try. Sinking the boat gets you no points, and the maximum number of points goes to the group that can place the heaviest rock without sinking. You begin by measuring one of the hemispheres, finding that it has a mass and a diameter of . What is the mass of the heaviest rock that, in perfectly still water, won't sink the plastic boat?
A spring with spring constant 35 N/m is attached to the ceiling, and a 5.0-cm-diameter, 1.0 kg metal cylinder is attached to its lower end. The cylinder is held so that the spring is neither stretched nor compressed, then a tank of water is placed underneath with the surface of the water just touching the bottom of the cylinder. When released, the cylinder will oscillate a few times but, damped by the water, quickly reach an equilibrium position. When in equilibrium, what length of the cylinder is submerged?
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