please 3. A pendulum bob on a string is held at rest at a 90 angle from the vertical, as pictured below on the left. It is then released and swings along a circular path (as on the right). Friction and air resistance can be ignored, and the tension in the string always acts at right angles to the motion-- so does no work. The pendulum bob has a

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3. A pendulum bob on a string is held at rest at a

9 0^{\circ}

angle from the vertical, as pictured below on the left. It is then released and swings along a circular path (as on the right). Friction and air resistance can be ignored, and the tension in the string always acts at right angles to the motion-- so does no work. The pendulum bob has a mass of

50 g

and the string length is

75 cm

. (a) How fast is the pendulum bob moving when it reaches the bottom of its swing? [Remember to think about KE and PE.] (b) At what height (above the bottom of the swing) is the pendulum's speed half of your answer in (a)? (c) At what height (above the bottom of the swing) will the pendulum come momentarily to rest on the opposite side of the pivot?

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