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A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved? [1998]
  • a)
    14 m/s
  • b)
    3 m/s
  • c)
    5 m/s
  • d)
    3.92 m/s
Correct answer is option 'A'. Can you explain this answer?
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A ball of mass 0.25 kg attached to the end of a string of length 1.96 ...
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A ball of mass 0.25 kg attached to the end of a string of length 1.96 ...
Given data:
Mass of the ball, m = 0.25 kg
Length of the string, l = 1.96 m
Maximum tension, T = 25 N

Formula:
The centripetal force required to keep the ball moving in a circle is provided by the tension in the string. This can be calculated using the formula:
T = mv^2 / r
where T is the tension, m is the mass of the ball, v is the speed of the ball, and r is the radius of the circle (which is equal to the length of the string).

Calculations:
Given that the maximum tension is 25 N, we can rearrange the formula to find the maximum speed:
25 = 0.25 * v^2 / 1.96
v^2 = 25 * 1.96 / 0.25
v^2 = 196
v = √196
v = 14 m/s
Therefore, the maximum speed with which the ball can be moved is 14 m/s. Hence, option 'A' is correct.
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A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved? [1998]a)14 m/sb)3 m/sc)5 m/sd)3.92 m/sCorrect answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved? [1998]a)14 m/sb)3 m/sc)5 m/sd)3.92 m/sCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved? [1998]a)14 m/sb)3 m/sc)5 m/sd)3.92 m/sCorrect answer is option 'A'. Can you explain this answer?.
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