A steel ball with mass m is suspended from the ceiling at the bottom end of a light, 29.0-m-long rope. The ball swings back and forth like a pendulum. When the ball is at its lowest point and the rope is vertical, the tension in the rope is three times the weight of the ball, so T=3mg. Required:
a. What is the speed of the ball as it swings through this point? Express your answer with the appropriate units.
b. What is the speed of the ball if T=mg at this point, where the rope is vertical? Express your answer with the appropriate units.

  a) 23.8 m/s

  b) 0

Explanation:

a) The tension in the rope serves to balance the force of gravity and make the ball deviate from a straight-line path. The latter acceleration is ...

  a = (T -mg)/m = 2g = v²/r . . . . . m is mass

  v = √(2gr) = √(2·9.8 m/s²·29 m) = √(568.4 m²/s²)

  v ≈ 23.8 m/s . . . . approximate speed of the ball at the low point

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b) Using the same analysis, the acceleration required to make the ball deviate from its horizontal path is ...

  a = (T -mg)/m = (mg -mg)/m = 0

and the velocity is ...

  v = √(ar) = 0 . . . . . speed of the ball where the rope is vertical

answer: d. a cme increases the amount of energy in the solar wind

explanation:

coronal mass ejections, also called cmes, are large clouds of plasma and magnetic field that erupt from the sun. only when the cloud is aimed at earth will the cme hit earth and therefore cause impacts. high-speed solar wind streams come from areas on the sun known as coronal holes.