Chapter 2 M&I Begin Date: 9/3/2018 12:01:00 AM -Due Date: 9/11/2018 8:00:00 AM E

Question

Chapter 2 M&I Begin Date: 9/3/2018 12:01:00 AM -Due Date: 9/11/2018 8:00:00 AM End Date: 18 11:59:00 PM (9%) Problem 2: A mass is connected to a spring and is allowed to move horizontally. The mass is at a position L when the spring is unstretched. The mass is then moved stretching the spring, and released from rest. It then moves with simple harmonic motion. Otheexpertta.com 33% Part (a) At the instant that the mass passes through the position where the spring is unstretched, what can be said about its instantaneous acceleration? Grade Summary Potential 100% Submissions Attempts remaining:2 It is zero. It is non-zero but not maximum It is maximum 0%per attempt) Submit Hint I give up! Feedback: 0% deduction per feedback. -& 33% Part (b) At the instant that speed? mass passes through the position where the spring is unstretched, what can be said about its instantancous 33% Part (c) At the instant that the spring is compressed the most, what can be said about the magnitude of its instantaneous velocity? Allament D 201 8 Espert TA, LLC

Explanation / Answer

a] When the spring is unstretched, the velocity is maximum (kinetic energy is maximum) which implies that the acceleration is zero here. [1st option]

b] When the spring is unstretched, the Elastic Potential Energy in the spring is zero and the total energy is in the kinetic energy. This means that the instantaneous speed at this point is maximum. [1st option]

c] When the spring is compressed the most, all the energy of the system is stored as the Elastic Potential Energy of the spring given by: U = (1/2)kA2 where A = maximum displacement. This means that the kinetic energy of the system must be zero here and therefore, at this moment, the velocity is zero. [1st option].

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