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Question
A passenger sitting in a train with his face in the direction of the moving train, tosses a coin which falls behind him. It means that motion of the train is
A passenger sitting in a train with his face in the direction of the moving train, tosses a coin which falls behind him. It means that motion of the train is
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Solution
The correct option is A accelerated
The coin when held in Palm, the relative motion between train and coin was zero, three cases are possible:
CaseI,Train was accelerating: When the coin was tossed the force acting on coin through frictional force stopped working and it starts moving with the uniform speed at which it was traveling at the time of toss, the distance covered by coin will be less compared to passenger and train as train is accelerating but coin is moving with same speed in horizontal direction.
Using kinematics equation S=ut+.5at2for calculating distance covered by train and coin:
Strain=ut+.5at2;Scoin=ut=>Strain>Scoin
Where Strain and Scoin are distances covered by train and coin respectively ; a= train acceleration; u= velocity of train at time of toss; t= time taken to toss coin
CaseII,Train was decelerating: When the coin was tossed the force acting on coin through frictional force stopped working and it keeps moving with uniform speed at which it was moving horizontally at time of toss, the distance covered by coin will be more compared to passenger and train as the train is decelerating but coin is moving with same speed in horizontal direction.
Strain=ut−.5at2; Scoin=ut=>Strain<Scoin
CaseIII,Train was moving at uniform speed:
When the coin was tossed the force acting on coin through frictional force stopped working and it keeps moving with uniform speed at which it was moving horizontally at time of toss, the distance covered by coin will be same as of passenger and train.the correct answer is A.
Strain=ut;Scoin=ut=>Strain=Scoin
The coin when held in Palm, the relative motion between train and coin was zero, three cases are possible:
CaseI,Train was accelerating:
When the coin was tossed the force acting on coin through frictional force stopped working and it starts moving with the uniform speed at which it was traveling at the time of toss, the distance covered by coin will be less compared to passenger and train as train is accelerating but coin is moving with same speed in horizontal direction.
Using kinematics equation S=ut+.5at2for calculating distance covered by train and coin:
Strain=ut+.5at2;Scoin=ut=>Strain>Scoin
Where Strain and Scoin are distances covered by train and coin respectively ; a= train acceleration; u= velocity of train at time of toss; t= time taken to toss coin
CaseII,Train was decelerating:
Using kinematics equation S=ut+.5at2for calculating distance covered by train and coin:
Strain=ut+.5at2;Scoin=ut=>Strain>Scoin
Where Strain and Scoin are distances covered by train and coin respectively ; a= train acceleration; u= velocity of train at time of toss; t= time taken to toss coin
CaseII,Train was decelerating:
When the coin was tossed the force acting on coin through frictional force stopped working and it keeps moving with uniform speed at which it was moving horizontally at time of toss, the distance covered by coin will be more compared to passenger and train as the train is decelerating but coin is moving with same speed in horizontal direction.
Strain=ut−.5at2; Scoin=ut=>Strain<Scoin
CaseIII,Train was moving at uniform speed:
When the coin was tossed the force acting on coin through frictional force stopped working and it keeps moving with uniform speed at which it was moving horizontally at time of toss, the distance covered by coin will be same as of passenger and train.the correct answer is A.
Strain=ut;Scoin=ut=>Strain=Scoin
Strain=ut−.5at2; Scoin=ut=>Strain<Scoin
CaseIII,Train was moving at uniform speed:
When the coin was tossed the force acting on coin through frictional force stopped working and it keeps moving with uniform speed at which it was moving horizontally at time of toss, the distance covered by coin will be same as of passenger and train.the correct answer is A.
Strain=ut;Scoin=ut=>Strain=Scoin
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