The mass attached to a string is moving in a circular path. If the speed is doubled, the tension in the string will be
Question 1 Report
The mass attached to a string is moving in a circular path. If the speed is doubled, the tension in the string will be
Answer Details
The tension in the string is related to the centripetal force required to keep the object moving in a circular path. According to centripetal force equation, F = mv²/r, where m is the mass of the object, v is the speed, and r is the radius of the circular path.
Since the mass of the object remains constant, doubling the speed would increase the centripetal force required to keep it moving in a circular path by a factor of four (since F = mv²/r).
Therefore, the tension in the string would also increase by a factor of four, so the correct answer is "four times as great."
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