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A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. The speed is then increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaks
- a)the stone flies off at an angle with the tangent whose magnitude depends on the speed of the particle.
- b)the stone moves radially inwards
- c)the stone flies off tangentially from the instant the string breaks
- d)the stone moves radially outwards
Correct answer is 'C'. Can you explain this answer?
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Verified Answer
A stone of mass 0.25 kg tied to the end of a string is whirled round i...
- The stone is moving in a circular path with constant speed, this is uniform circular motion.
- In uniform circular motion, at any instant velocity (magnitude speed) acts tangentially to the circular path.
- Hence, when string is cut the stone will fly off tangentially to circular path with velocity of magnitude speed.
Most Upvoted Answer
A stone of mass 0.25 kg tied to the end of a string is whirled round i...
C.because when the string breaks centripetal force is no longer there so the velocity in circular motion is no longer there so the stone flies off tangentially from the point of it's breaking
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A stone of mass 0.25 kg tied to the end of a string is whirled round i...
Explanation:
- The stone is being whirled around in a horizontal plane with a constant speed of 40 rev/min. This means that the stone is moving in a circular path with a radius of 1.5 m.
- The centripetal force acting on the stone is provided by the tension in the string. As long as the speed is within the maximum permissible value, the tension in the string is sufficient to keep the stone moving in a circular path.
- However, if the speed is increased beyond the maximum permissible value, the tension in the string will no longer be sufficient to provide the necessary centripetal force. This will cause the string to break suddenly.
- When the string breaks, there is no longer any force acting on the stone to keep it moving in a circular path. The stone will continue to move in a straight line tangent to the point where the string broke.
- Therefore, the correct answer is option (c) - the stone flies off tangentially from the instant the string breaks.
- The magnitude and direction of the stone's velocity at the instant the string breaks will depend on the speed of the particle and the direction of its motion at that instant.
- If the stone was moving in a clockwise direction at the instant the string broke, it will fly off tangentially in a clockwise direction. If it was moving in a counterclockwise direction, it will fly off tangentially in a counterclockwise direction.
- The stone will not move radially inward or outward because there are no forces acting in those directions once the string breaks.
- The stone is being whirled around in a horizontal plane with a constant speed of 40 rev/min. This means that the stone is moving in a circular path with a radius of 1.5 m.
- The centripetal force acting on the stone is provided by the tension in the string. As long as the speed is within the maximum permissible value, the tension in the string is sufficient to keep the stone moving in a circular path.
- However, if the speed is increased beyond the maximum permissible value, the tension in the string will no longer be sufficient to provide the necessary centripetal force. This will cause the string to break suddenly.
- When the string breaks, there is no longer any force acting on the stone to keep it moving in a circular path. The stone will continue to move in a straight line tangent to the point where the string broke.
- Therefore, the correct answer is option (c) - the stone flies off tangentially from the instant the string breaks.
- The magnitude and direction of the stone's velocity at the instant the string breaks will depend on the speed of the particle and the direction of its motion at that instant.
- If the stone was moving in a clockwise direction at the instant the string broke, it will fly off tangentially in a clockwise direction. If it was moving in a counterclockwise direction, it will fly off tangentially in a counterclockwise direction.
- The stone will not move radially inward or outward because there are no forces acting in those directions once the string breaks.
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A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. The speed is then increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaksa)the stone flies off at an angle with the tangent whose magnitude depends on the speed of the particle.b)the stone moves radially inwardsc)the stone flies off tangentially from the instant the string breaksd)the stone moves radially outwardsCorrect answer is 'C'. Can you explain this answer?
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A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. The speed is then increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaksa)the stone flies off at an angle with the tangent whose magnitude depends on the speed of the particle.b)the stone moves radially inwardsc)the stone flies off tangentially from the instant the string breaksd)the stone moves radially outwardsCorrect answer is 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. The speed is then increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaksa)the stone flies off at an angle with the tangent whose magnitude depends on the speed of the particle.b)the stone moves radially inwardsc)the stone flies off tangentially from the instant the string breaksd)the stone moves radially outwardsCorrect answer is 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. The speed is then increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaksa)the stone flies off at an angle with the tangent whose magnitude depends on the speed of the particle.b)the stone moves radially inwardsc)the stone flies off tangentially from the instant the string breaksd)the stone moves radially outwardsCorrect answer is 'C'. Can you explain this answer?.
A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. The speed is then increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaksa)the stone flies off at an angle with the tangent whose magnitude depends on the speed of the particle.b)the stone moves radially inwardsc)the stone flies off tangentially from the instant the string breaksd)the stone moves radially outwardsCorrect answer is 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. The speed is then increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaksa)the stone flies off at an angle with the tangent whose magnitude depends on the speed of the particle.b)the stone moves radially inwardsc)the stone flies off tangentially from the instant the string breaksd)the stone moves radially outwardsCorrect answer is 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. The speed is then increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaksa)the stone flies off at an angle with the tangent whose magnitude depends on the speed of the particle.b)the stone moves radially inwardsc)the stone flies off tangentially from the instant the string breaksd)the stone moves radially outwardsCorrect answer is 'C'. Can you explain this answer?.
Solutions for A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. The speed is then increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaksa)the stone flies off at an angle with the tangent whose magnitude depends on the speed of the particle.b)the stone moves radially inwardsc)the stone flies off tangentially from the instant the string breaksd)the stone moves radially outwardsCorrect answer is 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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ample number of questions to practice A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. The speed is then increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaksa)the stone flies off at an angle with the tangent whose magnitude depends on the speed of the particle.b)the stone moves radially inwardsc)the stone flies off tangentially from the instant the string breaksd)the stone moves radially outwardsCorrect answer is 'C'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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