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Q.

A ball hangs from a string inside a rail road car moving along a straight track. The string is observed to be inclined towards the rear of the car making a constant small angle with the vertical. It shows that the car is

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a

moving with a uniform retardation

b

moving with an acceleration which is increasing uniformly

c

moving with a uniform acceleration

d

moving with a uniform velocity

answer is A.

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Detailed Solution

Lets observe from the car frame of reference, 

There is a pseudo force acting on the ball which causes the ball to move towards the rare end, So the direction of the pseudo force is towards the rare end.

Since the direction of pseudo force is opposite to that of acceleration of car, and the angle made by the string with vertical is constant we can conclude that the car is having a constant acceleration.

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