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Problem 8: A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position x; to position X; Xf. m m Part (a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of t spring to be x=0. Expression : 1

Problem 8: A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position x; to position X; Xf. m m Part (a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of t spring to be x=0. Expression : 1

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please answer Question 8 parts a-c

Problem 8: A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position x; to position X X; Xf. m Part (a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be x;=0. Expression : spring = F Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, a, d, g, h, j, k, m, P, t, x, Xf, X¡ Part (b) Select the equation that correctly describes the work done by the spring to stop the mass. MultipleChoice : 1) W = - k x? 2) W = - Kf k x dx - ½m v² 3) W = - k, Fx dx 4) W = - k x dx 5) W = , k x dx 6) W = - kfk x dx + ½ m v2 %3D Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables. Expression : W = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, a, d, g, h,j, k, m, P, t, x, xf, X; Part (d) Solve for the numerical value of the work done in Joules given that x; = 0, xf = 58 cm, and k = 75 N/m. Numeric : A numeric value is expected and not an expression. W =
Transcribed Image Text:Problem 8: A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position x; to position X X; Xf. m Part (a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be x;=0. Expression : spring = F Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, a, d, g, h, j, k, m, P, t, x, Xf, X¡ Part (b) Select the equation that correctly describes the work done by the spring to stop the mass. MultipleChoice : 1) W = - k x? 2) W = - Kf k x dx - ½m v² 3) W = - k, Fx dx 4) W = - k x dx 5) W = , k x dx 6) W = - kfk x dx + ½ m v2 %3D Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables. Expression : W = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, a, d, g, h,j, k, m, P, t, x, xf, X; Part (d) Solve for the numerical value of the work done in Joules given that x; = 0, xf = 58 cm, and k = 75 N/m. Numeric : A numeric value is expected and not an expression. W =
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