Problem 2: You have a spring with a spring constant 5850 N/m. Part (a) If you want to store 190 J of energy in this spring, should you compress it or stretch it? MultipleChoice 1) Either can be done. 2) You must compress it. 3) You must stretch it. 4) Energy cannot be stored in a spring. Part (b) How far, in centimeters, would you have to compress this spring to store this energy? Numeric : A numeric value is expected and not an expression. Ax = 9101 AM Mon Oct 10 no. 4' 100%-' ustBca.theexpertta.com Ii Problem 5: A child of mass m : 22 kg slides down a slide of height h : 2.3 m without friction. Let gravitational potential energy be zero at ground level. Part (:1) Write an expression for the child's total mechanical energy. E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g. Expression E : Select from the variables below to write your expression. Note that all variables may not be required. a3 3,0,?17 h, d, g 117 i=1, k, m, P, Syt Part (1]) Calculate the change in the child's potential energy, A U in joules, from the top to the bottom of the slide at ground level (i.e. AU= Uground ' Utop) Numeric : A numeric value is expected and not an expression. A U : Part (c) What is the child's final speed, Vfln m/s? Numeric : A numeric value is expected and not an expression. vf: Problem 6: A child's toy consists ofa m = 20 g monkey suspended from a spring of negligible mass and spring constant k. When the toy monkey is rst hung on the spring and the system reaches equilibrium, the spring has stretched a distance of x = 13.2 cm, \"Baggy\" a...) as shown in the diagram. This toy is so adorable you pull the monkey down an '1 \"'5: additional d = 6.4 cm from equilibrium and release it from rest, and smile with delight as it bounces playfully up and down. Stretched Position I lilL'U\\[)L'I'[l:l.Cnttl Part (21) Using the given information, determine the spring constant, k. in Newtons per meter, of the spring. Numeric : A numeric value is expected and not an expression. k: Part (b) Select the free-body diagram that best represents the forces acting on the monkey as you are pulling it down, immediately before you let go. SchematicChoice Epnng Epnng Epnng E' 9201 AM Mon Oct 10 no. ?100%- ustBca.theexpertta.com ii Part (b) Select the freebody diagram that best represents the forces acting on the monkey as you are pulling it down, immediately before you let go. SchematicChoice Epnng Eprlng Epnng Emu!) FIT\" It} Epplled Epplicd Epnng Eprlng Eppliud Fpnn" Erin m led En\" ll_\\ Emu} Epp I Part (c) Calculate the total potential energy, Ebonom, in joules, stored in the stretched spring immediately before you release it. Take the zero of potential energy at the spring's unstretched position before the monkey is suspended from it. Numeric : A numeric value is expected and not an expression. Ebottom : Part (d) Assume that the system has zero gravitational potential energy at the lowest point of the motion. Derive an expression for the total mechanical energy, Eequibn'um, of the system as the monkey passes through the equilibrium position in terms of m, x, d, g, k, and the speed of the monkey, v9. Expression Eequilibrium : Select from the variables below to write your expression. Note that all variables may not be required. I1, [3, 8, a, d, g, hmax, i, j, k, m, P, t, ve, it Part (e) Calculate the speed of the monkey, ve, in meters per second, as it passes through equilibrium. Numeric : A numeric value is expected and not an expression. v9 = Part (1') Derive an expression for the total mechanical energy of the system as the monkey reaches the top of the motion, Emp, in terms ofm, x, d, k, the maximum height above the bottom of the motion, hmax, and the variables available in the palette. Expression E top : Select from the variables below to write your expression. Note that all variables may not be required. '1, 110,21, d,g,hmax, i,j,k,m,P, t,ve,x Part (g) Calculate the maximum displacement, h, in centimeters, above the equilibrium position, that the monkey reaches. Numeric : A numeric value is expected and not an expression. [1 =