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Estimate the buoyant force that air exerts on you. (To do
Chapter 6, Problem 2P(choose chapter or problem)
Estimate the buoyant force that air exerts on you. (To do this, you can estimate your volume by knowing your weight and by assuming that your weight density is a bit less than that of water.)
Questions & Answers
QUESTION:
Estimate the buoyant force that air exerts on you. (To do this, you can estimate your volume by knowing your weight and by assuming that your weight density is a bit less than that of water.)
ANSWER:Solution 2P Introduction A body submerged in a fluid will experience an upward force which is called as buoyant force. Buoyant force will influence the total weight of an object if it is submerged in the fluid. Step 1 In this problem, we are asked to find out the buoyant force exerted by air on our body. The equation for buoyant force, F = Bg Where, - Density of the fluid V - Volume of the body 2 g - acceleration due to gravity = 9.8 m/s Consider the mass of our body as, m = 60 kg The weight exerted by our body, F = mg = 60 kg × 9.8 m/s = 588 N 2 We know that the density of water is 1000 kg/m . This is nothing but the mass-volume density of water. We can convert it into weight- volume density. That is, weight-volume density of water, ’ = 1000wg/m × 9.8 m/s = 9800 N /m 2 3 In the question, they have provided that the weight-volume density of our body is bit less than 3 that of water. So, we can assume it as, ’ body= 9700 N/m Therefore, we have to calculate the volume of our body. The volume can be calculated from the relation, Weight-volume density, ’ body= Weight / volume, V Rearrange the equation we get, V = Weight / ’ body Substitute the values in this equation, V = 588 N / 9700 N/m = 0.0606 m 3