The image shows a pendulum that is released from rest at point A. Which energy transformation is correct? From A to C, kinetic energy is transformed into gravitational potential energy. From C to D, kinetic energy is transformed into gravitational potential energy. From C to E, gravitational potential energy is transformed into kinetic energy. From D to E, gravitational potential energy is transformed into kinetic energy.

The image shows a pendulum that is released from rest at point A Which energy transformation is correct From A to C kinetic energy is transformed into gravitati class=

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Answer:

Partially: From C to D, kinetic energy is transformed into gravitational potential energy and From D to E, gravitational potential energy is transformed into kinetic energy

Explanation:

What happens in this pendulum is that at point A, there's only gravitational potential energy (no velocity=no kinetic energy)

At point C, it has maximum speed since all of the potential energy is transformed into kinetic energy (no potential gravitational  energy at this point)

At point E, it is the same as at point A. (no kinetic energy)

At the intermediate points (B and D) there are both kinetic and potential energy. At point B the kinetic energy is increasing and at point D it is decreasing.

Now let's see each case:

- From A to C, kinetic energy is transformed into gravitational potential energy: It is actually the opposite, so no.

- From C to D, kinetic energy is transformed into gravitational potential energy: Yes, but not all of it is transformed since it still has kinetic energy that allows it to get til point E.

- From C to E, gravitational potential energy is transformed into kinetic energy: No, it is the opposite.

- From D to E, gravitational potential energy is transformed into kinetic energy: Yes, but not all of it, since at point D it also has kinetic energy.

The kinetic energy is transformed into gravitational potential energy from point C to B. But complete transformation is not happening. Thus, the statement is somehow correct.

The analysis of pendulum is given as follows:

  • At point A, there's only gravitational potential energy and no kinetic energy, because the pendulum is at rest at A.  
  • At point C, it has maximum speed since all of the potential energy is transformed into kinetic energy. Therefore, at this point there is only kinetic energy and no potential energy.
  • At point E, it is the same as at point A, but in opposite side. So, at this point there is no kinetic energy.
  • At  points B and D there are both kinetic and potential energy. At point B the kinetic energy is increasing and at point D it is decreasing.

Now as per the given statements:  

  • From A to C, kinetic energy is transformed into gravitational potential energy.  It is actually the opposite. Thus, the statement is incorrect.
  • From C to D, kinetic energy is transformed into gravitational potential energy. At this interval, the kinetic energy is converting into potential energy but the conversion is not complete. Thus, the statement is somehow correct.
  • From C to E, gravitational potential energy is transformed into kinetic energy. At this point, the kinetic energy is converting into the potential energy. Thus, the statement is incorrect.
  • From D to E, gravitational potential energy is transformed into kinetic energy. This statement incorrect because there is conversion of kinetic energy into potential energy.

Thus, we can conclude that from C to D, the kinetic energy is transformed into gravitational potential energy, but the transformation is not complete. Hence, statement (B) is correct.

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