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Multiple choice questions: What is the total mechanical energy of the oscillator

ID: 1294074 • Letter: M

Question

Multiple choice questions:
What is the total mechanical energy of the oscillator?
What is the initial speed Vi? Multiple Choice Question 14.21 Part B The figure shows a block on a frictionless surface attached to a spring. The block is pulled out to position xi = 20cm, then given a kick so that it moves to the right with speed vi. The block then oscillates with an amplitude of 46cm. Part B What is the total mechanical energy of the oscillator? 1.7 J 2.1 J 4.6 J 6.0 J 12 J Part C What was the initial speed vi? 2.0 m/s 2.6 m/s 3.3 m/s 5.1 m/s 12 m/s Multiple choice questions: What is the total mechanical energy of the oscillator? What is the initial speed Vi?

Explanation / Answer

total mechanical energy

total mechanical energy=(1/2)kA2 ,where ,A= amlpitude=46cm and k=20N/m

     TME =2.1 J

initial speed Vi--

total mechanical energy=(1/2)kx2   + (1/2)mVi2

2.1 =0.4 + 0.25 Vi2

   hence, Vi = 2.6 m/s