Conservation and energy Q6: please answer parts a, c, and d. Please explain reasoning for all steps even if minor. Part b is answered as shown. Problem 6: A child's toy consists of a m = 45 g monkey suspended from a spring ofnegligible mass and spring constant k. When the toy monkey is first hung on the springand the system reaches equilibrium, the spring has stretched a distance of x = 17.7 cm,as shown in the diagram. This toy is so adorable you pull the monkey down anadditional d = 7.1 cm from equilibrium and release it from rest, and smile with delightas it bounces playfully up and down.UnstretchedPositionEquilibriumStretched PositionPart (a) Using the given information, determine the spring constant, k, in Newtons per meter, of the spring.Numeric : Anumeric 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 letgo.SchematicChoice :F,-springspringappliedspringgravityappliedF.-springspringspringTeravitygravityF.FgravityappliedappliedPart (c) Calculate the total potential energy, Epottom, in joules, stored in the stretched spring immediately before you release it. Take the zero ofpotential energy at the spring's unstretched position before the monkey is suspended from it.Numeric : Anumeric value is expected and not an expression.Epottom =Part (d) Assume that the system has zero gravitational potential energy at the lowest point of the motion. Derive an expression for the totalmechanical energy, Eequilibrium, of the system as the monkey passes through the equilibrium position in terms of m, x, d, g, k, and the speed of themonkey, ve.Expression :Eequilibrium =Select from the variables below to write your expression. Note that all variables may not be required.a, B, 0, a, d, g, hmay, i, j, k, m, P, t, ve, XPart (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.Ve =Part (f) Derive an expression for the total mechanical energy of the system as the monkey reaches the top of the motion, E1op. in terms of m, x, d,k, the maximum height above the bottom of the motion, hmax, and the variables available in the palette.Expression :Etop =Select from the variables below to write your expression. Note that all variables may not be required.a. ß. 0, a, d, g. hmax- i,j.k, m, P, t, v. xPart (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.h =wwww

Name: Conservation and energy Q6: please answer parts a, c, and d. Please ex
Uploaded: 2024-03-20T06:58:04.000Z
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Description: Conservation and energy Q6: please answer parts a, c, and d. Please explain reasoning for all steps even if minor. Part b is answered as shown. Problem 6: A child's toy consists of a m = 45 g monkey suspended from a spring ofnegligible mass and sprin