(10%) Problem 9: A balloon filled with helium gas has an average density of e,-

Question

(10%) Problem 9: A balloon filled with helium gas has an average density of e,- 0.36 kg/m3. The density of the air is about qa 1.23 kg/m3. The volume of the balloon is Vb = 0.063 ms. The balloon is floating upward with acceleration a Randomized Variables Qb 0.36 kg/m3 Vs = 0.063 ©theexpertta.com 13% Part (a) Express the weight of the balloon, w, in terms of Qb and V, Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining: S % per attempt) detailed view 0 Submit I give up! Hints: 1 % deduction per hint. Hints remaining: 2 Feedback: 1% deduction per feedback. D 13% Part (c) Express the buoyant force Fb in terms of ea and V. D 13% Part (e) Express the total force F in terms of w and F, assuming upward is the positive direction D 13% Part (g) Express the acceleration a in terms of F.Qb and V 13% Part (b) Calculate the numerical value of W in N 13% Part (d) Calculate the numerical value of Fb in N 13% Part (f) Calculate the numerical value of F in N 13% Part (h) Calculate the numerical value of a in m/s

Explanation / Answer

a] W = mg

W= rhob*Vb*g

b] W = 0.36*0.063*9.8 = 0.2223 N

c] Fb = weight of air displaced

Fb = rhoa*Vb*g

d] Fb = 1.23*0.063*9.8 = 0.7594 N

e] F = Fb - W

f] F =  0.7594 - 0.2223 = 0.5371 N

g] a = F/m

a = F/(rhob Vb)

h] a = 0.5371/[0.36*0.063] = 23.7 m/s^2

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