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A passenger is travelling a train moving at 40 ms-1.His suitcase is kept on the berth. The driver of trainapplies breaks such that the speed of the traindecreases at a constant rate to 20 ms-1 in 4 s. Whatshould be the minimum coefficient of friction betweenthe suitcase and the berth if the suitcase is not toslide during retardation of the train?

  • a)
    0.3

  • b)
    0.5

  • c)
    0.1

  • d)
    0.2

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A passenger is travelling a train moving at 40 ms-1.His suitcase is ke...
 Answer :- b


Solution :- Retardation of train =20/4 = 5ms2


it act in the backward direction friction force on suitcase 5m newton , where m is the mass of suitcase in acts in the forward direction due to this force the suitcase has a tendency to slide forward if suitcase is not to slide then 5m = force f of friction


or 5m = mmg or m = 5/10


= 0.5
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Most Upvoted Answer
A passenger is travelling a train moving at 40 ms-1.His suitcase is ke...
Solution:

Initial velocity of the train, u = 72 km/h = 20 m/s

Final velocity of the train, v = 0 km/h = 0 m/s

Acceleration of the train, a = (v-u)/t = (0-20)/5 = -4 m/s² (negative sign indicates retardation)

Let the coefficient of friction between the suitcase and the berth be μ.

The force of friction acting on the suitcase, f = μmg, where m is the mass of the suitcase and g is the acceleration due to gravity.

The force of friction opposes the motion of the suitcase and helps to prevent its sliding.

The maximum force of friction that can act on the suitcase without causing it to slide can be calculated as:

fmax = μmaxmg, where μmax is the maximum coefficient of friction.

To find the minimum coefficient of friction, we need to equate the force of friction with the maximum force of friction.

f = fmax

μmg = μmaxmg

μ = μmax

μmin = a/g

Substituting the values of a and g, we get:

μmin = -4/9.8 = -0.408

Since the coefficient of friction cannot be negative, the minimum coefficient of friction required to prevent the suitcase from sliding is 0.408.

Therefore, the minimum coefficient of friction between the suitcase and the berth should be 0.408 to prevent the suitcase from sliding during the retardation of the train.
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A passenger is travelling a train moving at 40 ms-1.His suitcase is kept on the berth. The driver of trainapplies breaks such that the speed of the traindecreases at a constant rate to 20 ms-1 in 4 s. Whatshould be the minimum coefficient of friction betweenthe suitcase and the berth if the suitcase is not toslide during retardation of the train?a)0.3b)0.5c)0.1d)0.2Correct answer is option 'B'. Can you explain this answer?
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A passenger is travelling a train moving at 40 ms-1.His suitcase is kept on the berth. The driver of trainapplies breaks such that the speed of the traindecreases at a constant rate to 20 ms-1 in 4 s. Whatshould be the minimum coefficient of friction betweenthe suitcase and the berth if the suitcase is not toslide during retardation of the train?a)0.3b)0.5c)0.1d)0.2Correct answer is option 'B'. 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 passenger is travelling a train moving at 40 ms-1.His suitcase is kept on the berth. The driver of trainapplies breaks such that the speed of the traindecreases at a constant rate to 20 ms-1 in 4 s. Whatshould be the minimum coefficient of friction betweenthe suitcase and the berth if the suitcase is not toslide during retardation of the train?a)0.3b)0.5c)0.1d)0.2Correct answer is option 'B'. 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 passenger is travelling a train moving at 40 ms-1.His suitcase is kept on the berth. The driver of trainapplies breaks such that the speed of the traindecreases at a constant rate to 20 ms-1 in 4 s. Whatshould be the minimum coefficient of friction betweenthe suitcase and the berth if the suitcase is not toslide during retardation of the train?a)0.3b)0.5c)0.1d)0.2Correct answer is option 'B'. Can you explain this answer?.
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