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You have a beach ball which has a radius of 23 cm and a mass of 0.1 kg. You have

ID: 2212034 • Letter: Y

Question

You have a beach ball which has a radius of 23 cm and a mass of 0.1 kg. You have a lead ball which has the same radius but has a mass of 200 kg. a)You immerse the beach ball under the water. What is the buoyancy force felt by the beach ball? b)To keep the beach ball stationary under the water what is the force you need to apply? (UP is positive) c)You immerse the lead ball under the water, what is the buoyancy force felt by the lead ball? d) To keep the lead ball stationary under the water what is the force you need to apply? (UP is positive)

Explanation / Answer

(a) buoyancy force felt by the beach ball = volume of beach ball x density of water x g volume of ball = (4/3)piR^3 (given ball mass & radius) (b) To keep the beach ball stationary under the water, the force you need to apply = weight of beach ball - the buoyancy force felt by the beach ball. (c) buoyancy force felt by the lead ball = volume of lead ball x density of water x g volume of ball = (4/3)piR^3 (given lead ball mass & radius) (d) To keep the lead ball stationary under the water, the force you need to apply = weight of lead ball - the buoyancy force felt by the lead ball.

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