Problem 4: A weather balloon has an absolute-pressure sensor attached. 0n the ground the sensor reads PA =1.01x105 Pa. At a height of h: 977 m, the sensor reads P3 = 393x104 Pa. Nlptrl'la-t'ol'll ' Part (:1) Assuming air is an incompressible uid, enter an expression for an estimate of the density of air, in terms of the dened quanties and the ' acceleration due to gravity,g. Expression : '3 = Select from the variables below to write your expression. Note that all variables may not be required. [3.1% 9,1341, EJIIJ, 1', m. ILP, PAIRS Port (b) Calculate the density of air. in kilograms per cubic meter, assuming it is an incompressible uid. Numeric : A numeric value is expected and not an expression. 9 = Problem 5: A toy duck is oating on the water. The average density of the duck is 9:! = 760 kg/m3,while the density of water isg = 1.0 x 103 kg/m3. The volume of the duck is vd = 0.000105 m3. Randomized Variables 9d = 760 kgjm3 Vd = 0.000105 m3 t\" thnxprtumw I Part (a) Express the weight of the duck. W, in terms of 9d and ya- Expression : W 2 Select from the variables below to write your expression. Note that all variables may not be required. a, our, a, Qd. 1:, hi, m, s, t,V.. Part (b) Calculate the numerical value of Win Newtons. Numeric : A numeric value is expected and not an expression. W = Part (6:) Express the magnitude of the buoyant foroe, F, in terms of Q and the volume of water that the duck displaces, Vw. Expression : F: Select from the variables below to write your expression. Note that all variables may not be required. a, limit, a, lid, s, 11. i,i,m,s, eve Port (d) Express the volume of the duck in water V in terms of Ebert and W- 'W