Answer: A 100 g ball on a 60-cm-long string is swung in a

Chapter 8, Problem 8.83

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QUESTION:

A 100 g ball on a 60-cm-long string is swung in a vertical circle about a point 200 cm above the floor. The tension in the string when the ball is at the very bottom of the circle is 5.0 N. A very sharp knife is suddenly inserted, as shown in FIGURE P8.56, to cut the string directly below the point of support. How far to the right of where the string was cut does the ball hit the floor?

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QUESTION:

A 100 g ball on a 60-cm-long string is swung in a vertical circle about a point 200 cm above the floor. The tension in the string when the ball is at the very bottom of the circle is 5.0 N. A very sharp knife is suddenly inserted, as shown in FIGURE P8.56, to cut the string directly below the point of support. How far to the right of where the string was cut does the ball hit the floor?

ANSWER:

Step 1 of 3

During the circular motion of the ball at the exact bottom of the circular path, the height of the call from the ground will be,

                                                             

After cutting the string the time taken by the ball to travel in horizontal direction can be calculated by equations of motion,

                                                           

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