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An unloaded and loaded bus are both moving with same kinetic energy. Mass of the lattes is twice as that of former. Brakes are applied to both so as to exert equal retarding force . If x1 and x2 be the distance covered by the two buses before coming to rest then what is relation between x1 and x2
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An unloaded and loaded bus are both moving with same kinetic energy. M...
Introduction: In this scenario, we have an unloaded bus and a loaded bus, both moving with the same kinetic energy. The mass of the loaded bus is twice that of the unloaded bus. Brakes are applied to both buses, exerting equal retarding forces. We need to determine the relationship between the distances covered by the two buses before coming to rest.
Explanation:
To solve this problem, we can use the concept of work-energy theorem. According to the work-energy theorem, the work done on an object is equal to the change in its kinetic energy.
1. Kinetic Energy:
Since both the unloaded and loaded buses have the same kinetic energy, we can write the equation as follows:
1/2 * mu^2 = 1/2 * ml^2
where mu is the initial velocity of the unloaded bus, and ml is the initial velocity of the loaded bus.
2. Work Done:
The work done on an object can be calculated as the product of the force applied and the distance covered. Since the retarding force is equal for both buses, we can write the equation as follows:
Force * x1 = Force * x2
where x1 is the distance covered by the unloaded bus, and x2 is the distance covered by the loaded bus.
3. Relationship between x1 and x2:
From the work done equation, we can cancel out the forces on both sides, as they are equal. This gives us:
x1 = x2
Therefore, the relationship between the distances covered by the two buses before coming to rest is that they are equal. Both buses will cover the same distance before coming to rest.
Conclusion:
In conclusion, the unloaded bus and the loaded bus, both moving with the same kinetic energy, will cover the same distance before coming to rest. The relationship between the distances covered by the two buses is that x1 is equal to x2.
Explanation:
To solve this problem, we can use the concept of work-energy theorem. According to the work-energy theorem, the work done on an object is equal to the change in its kinetic energy.
1. Kinetic Energy:
Since both the unloaded and loaded buses have the same kinetic energy, we can write the equation as follows:
1/2 * mu^2 = 1/2 * ml^2
where mu is the initial velocity of the unloaded bus, and ml is the initial velocity of the loaded bus.
2. Work Done:
The work done on an object can be calculated as the product of the force applied and the distance covered. Since the retarding force is equal for both buses, we can write the equation as follows:
Force * x1 = Force * x2
where x1 is the distance covered by the unloaded bus, and x2 is the distance covered by the loaded bus.
3. Relationship between x1 and x2:
From the work done equation, we can cancel out the forces on both sides, as they are equal. This gives us:
x1 = x2
Therefore, the relationship between the distances covered by the two buses before coming to rest is that they are equal. Both buses will cover the same distance before coming to rest.
Conclusion:
In conclusion, the unloaded bus and the loaded bus, both moving with the same kinetic energy, will cover the same distance before coming to rest. The relationship between the distances covered by the two buses is that x1 is equal to x2.
Community Answer
An unloaded and loaded bus are both moving with same kinetic energy. M...
x1=x2 (apply conservation of energy)
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An unloaded and loaded bus are both moving with same kinetic energy. Mass of the lattes is twice as that of former. Brakes are applied to both so as to exert equal retarding force . If x1 and x2 be the distance covered by the two buses before coming to rest then what is relation between x1 and x2
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An unloaded and loaded bus are both moving with same kinetic energy. Mass of the lattes is twice as that of former. Brakes are applied to both so as to exert equal retarding force . If x1 and x2 be the distance covered by the two buses before coming to rest then what is relation between x1 and x2 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 An unloaded and loaded bus are both moving with same kinetic energy. Mass of the lattes is twice as that of former. Brakes are applied to both so as to exert equal retarding force . If x1 and x2 be the distance covered by the two buses before coming to rest then what is relation between x1 and x2 covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An unloaded and loaded bus are both moving with same kinetic energy. Mass of the lattes is twice as that of former. Brakes are applied to both so as to exert equal retarding force . If x1 and x2 be the distance covered by the two buses before coming to rest then what is relation between x1 and x2.
An unloaded and loaded bus are both moving with same kinetic energy. Mass of the lattes is twice as that of former. Brakes are applied to both so as to exert equal retarding force . If x1 and x2 be the distance covered by the two buses before coming to rest then what is relation between x1 and x2 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 An unloaded and loaded bus are both moving with same kinetic energy. Mass of the lattes is twice as that of former. Brakes are applied to both so as to exert equal retarding force . If x1 and x2 be the distance covered by the two buses before coming to rest then what is relation between x1 and x2 covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An unloaded and loaded bus are both moving with same kinetic energy. Mass of the lattes is twice as that of former. Brakes are applied to both so as to exert equal retarding force . If x1 and x2 be the distance covered by the two buses before coming to rest then what is relation between x1 and x2.
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An unloaded and loaded bus are both moving with same kinetic energy. Mass of the lattes is twice as that of former. Brakes are applied to both so as to exert equal retarding force . If x1 and x2 be the distance covered by the two buses before coming to rest then what is relation between x1 and x2, a detailed solution for An unloaded and loaded bus are both moving with same kinetic energy. Mass of the lattes is twice as that of former. Brakes are applied to both so as to exert equal retarding force . If x1 and x2 be the distance covered by the two buses before coming to rest then what is relation between x1 and x2 has been provided alongside types of An unloaded and loaded bus are both moving with same kinetic energy. Mass of the lattes is twice as that of former. Brakes are applied to both so as to exert equal retarding force . If x1 and x2 be the distance covered by the two buses before coming to rest then what is relation between x1 and x2 theory, EduRev gives you an
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