Example C: A spring with constant k = 40 N/m is attached to a surfaceand a block of .25 kg as shown. The block is brought to a position 20 cmfrom equilibrium and released and allowed to oscillate on a frictionlesssurface.a) Draw a free body diagram of the block when its position is -20 cm.20 cmb) Determine the period of the spring-block systemc) Determine the max speed of the block.d) Derive an expression for the displacement of the block as a function of time..25 kg0 cmни+-20 cme) On the graphs below, plot the displacement,velocity and acceleration of the block vs. timef) Plot the potential and kinetic energy of the block.

Answers to each part provided belowExplanation:

Answered: Example C: A spring with constant k =…

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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Problem 9: A 12.0-g bullet is fired into a block of wood (at rest) with some initial speed. The block is attached to a spring that has a spring constant of 200 N/m and rests on a frictionless floor. The block with the embedded bullet oscillates at a frequency of f= 2.8 Hz and compresses a maximum distance of d = 0.51 m. What was the initial speed of the bullet? d
1: In this question we will study the damped harmonic oscillator. Consider the following spring-mass system. kr bà Figure 1: Spring-mass system with a friction force. That is, an object of mass m is attached at the end of a spring with spring-constant k. We will also consider the effect of friction. Friction works in the opposite direction of motion, as illustrated in the figure. A) Show that the differential equation governing the damped spring-mass system is: më = -bå – kx (1) dr and i = dt where i = dt2 b) To solve the differential equation (1), we will take the following ansatz: r(t) = Ae. (2) If the above r(t) is a solution of Eq. (1) show that A has to satisfy the following equation: 1² +27d + wi = 0, (3) * and wi = k Solve the above equation to find A. m2 b where y 3= 2m c) For wi >?, show that the general solution can be written as: x(a) = Ae-t cos (wt +0) (4) where w? = w - 7². 2: Using Fermat's principle prove the law of reflection and the law of refraction of light.
B/ Answer the following questions: D Define stress, strain and Hook's law, and draw their relation. 2) According to simple harmonic motion, in the moment of an object passing by the half distance of its passage then what the state of its energy? 3) if a wall clock has been fallen from a height, will it keep giving the correct time during the free fall? Explain the reason.
A 1.30 kg mass oscillates according to the equation x = 0.500 cos 8.30t, where x is in meters and t is in seconds. Part A Part B Part C Part D Determine the kinetic energy when x = 0.240 m . HÀ Exinetic = Value Units Submit Request Answer Part E Determine the potential energy when x = 0.240 m . HA Epotential Value Units
Jocelyn stood in the middle of a trampoline causing the springs around the edge to stretch. Her identical twin, Jennifer, who has the same mass, joined her in the center of the trampoline. Which statement best describes the effect this had on the springs? A The springs maintained the same amount of displacement. The springs stretched to double the original displacement. C. The spring displacement reduced to half of the original displacement. The springs stretched slightly, but the exact amount cannot be predicted.
A mass of 0.12 kg is sliding on a frictionless horizontal surface when it comes to a horizontal spring with Hooke’s constant k = 90 N/m. The mass is moving at 15 m/s. How far does the spring compress? What is the acceleration of the mass when the spring is fully compressed? How much time elapses between when the mass first encounters the spring, and when the spring reaches full compression? a.) Set up and solve for maximum compression distance. b.) Set up and solve for acceleration at maximum compression. c.) Set up and solve for the time to maximum compression.

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