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Question 8. A disk and a hemisphere of equal radii are placed on the floor in a

ID: 1731757 • Letter: Q

Question

Question 8. A disk and a hemisphere of equal radii are placed on the floor in a room. Assuming air pressure only acts on their top surfaces, is the net force due to air pressure acting on the disk (a) greater, (b) smaller, or (c) equual to that acting on the hemisphere? Explain Question 9. Two buckets filled to the brim with water are in equilibrium on scales. A piece of wood is carefully placed in one of the buckets so that t floats and some water is spilled out to the floor. Is the weight of this bucket (a) smaller, (b) larger, or (c) equal to that of the other bucket? Explain. Question 10. Suppose a damaged ship can just barely keep afloat in the ocean. It is towed toward shore and into a river, heading toward a dry dock for repair. As it is pulled up the river, t sinks. Why? Question 11. Suppose an object floats in a liquid with non-uniform density. Is the Archimedes' formulation that the buyoyant force equals the weight of dipsplaced water still applicable? Explain Question 12. If you ever drove with balloons in your car, you may have noticed that a balloon tends to drift forward when the car is accelerated. Can you explain this? Question 13. Formulate Bernoulli's law.

Explanation / Answer

8.

Suppose the disk is spherical in shape. The pressure is acring on top surface only.

We know that , the top surface of shere and hemisphere are same.

And pressure = Force/area

Force = pressure * area

Remember area is the shrface area of top surface only which is same for both disk and hemishpere.

Hence force due to air pressure on disk is equal to that on hemisphere.

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