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A pendulum is hanging from a point and its total mechanical energy is 20,000 J. Neglecting friction, if energy is conserved, what values should you put in the blanks.


1. At which point/s in the pendulum motion do you think is most difficult to stop?


2. At which point/s would the pendulum easiest to stop?


3. If friction were not present, how much total mechanical energy would the pendulum have at:


a. point A? _______ d. point D? ______


b. point B? _______ e. point E? ______


c. point C? _______

Respuesta :

(1) The pendulum will have maximum velocity at the lowest point and it will be the most difficult point to stop.

(2) Velocity at maximum height is zero and it will be the easiest point to stop the pendulum.

(3) The total mechanical energy of the pendulum would  be the same at all point.

Point of maximum velocity of the pendulum

A pendulum has maximum kinetic energy at the lowest point. The kinetic energy is given as;

K.E = ¹/₂mv²

The pendulum will have maximum velocity due to maximum kinetic energy at the lowest point and it will be the most difficult point to stop.

Point of maximum height of the pendulum

A pendulum has maximum potential energy at the highest point. The potential energy is given as;

P.E = mgh

Velocity at maximum height is zero and it will be the easiest point to stop the pendulum.

Conservation of energy

In absence of friction, the total mechanical energy will be conserved. Thus, the total mechanical energy of the pendulum would  be the same at all point.

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