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.)

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