CH15 HW Problem 15.47 What is the volume of the person that is above waten the v

Question

CH15 HW Problem 15.47 What is the volume of the person that is above waten the volume of the penson that is aboe A person with a mass of 75 kg and a volume of 0.091 m floats quety in water Express your answer using two significant figures 160M10-2m Previous Answers Correct Part B If an upward force F is applied to the person by a friend, the volume of the person above water increases by 0 0 26 Find the froe Express your answer using two significant figures F 15.6 Submit Previou, Answers Res-st Anteer Incorrect: Try Again; 3 attempts remaining Next > Provide Feedback

Explanation / Answer

A] There are two forces acting on a person, one gravity which acts down and other buoyancy which acts upward.

So, Buoyancy force = Gravity force

Volume of person below the water*weight of water = mass*gravity

(total volume - volume above water)*weight of water = 75*9.8

(0.091 m^3 - V)*1000 kg/m^3*9.8 = 75*9.8

91 - 1000V = 75

V = (91 - 75)/1000 = 1.6*10^-2 m^3

B] Here, Upward force applied by friend

Buoyancy + Force applied by friend(F) = Gravity force

(Total volume - volume above water)*weight of water + F = 75*9.8

[0.091 - (0.016 + 0.0026)]*1000*9.8 + F = 75*9.8

F = (75*9.8) -   [0.091 - (0.016 + 0.0026)]*1000*9.8

= 735 - 709.52 N

= 25.48 N

ANSWER

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