Question

3. A pendulum is given an initial potential energy of 2 J (from rest) and is...

3. A pendulum is given an initial potential energy of 2 J (from rest) and is set to swing free of friction. Answer the following and explain each answer: (show work)

How long do we have to wait until it stops swinging?

What is the pendulum’s maximum kinetic energy?

Can we determine the bob’s maximum speed? Explain.

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Homework Answers

Answer #1

(a) Under ideal condition, means if there is no energy loss due to friction or otherwise, the pendulum will continue to swing for infinite times. Because there is no energy loss, the pendulum will always possess its initial energy of 2 J.

(b) Maximum kinetic energy of the pendulum is when the potential energy is ZERO.

The total energy of the pendulum at any instant of time is 2 J

So, maximum kinetic energy = 2 J

(c) use the expression -

(1/2)*m*v^2 = 2 J (given)

because we donot have the value of mass (m), so we cannot determine the value of maximum speed.

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