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maximum acceleration of the train in whi...

maximum acceleration of the train in which a 50 Kg bx lying on its florr will remain stationary (Given : Co - efficient f static friction between the box and the trains floor is 0.3 and `g=10ms^(-2)`

A

`5.0ms^(-2)`

B

`3.0ms^(-2)`

C

`1.5ms^(-2)`

D

`15ms^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
b

:m=50kg
`mu=0.3`
`g=10ms^(-2)`
Suppose a is the common acceleration of the box and the train Block will be at rest if limiting friction `(f_(I)` is equal to ma (a=maximum acceleration).
`f_(1)maRightarrowmuN=ma`
`Rightarrowmumg=maRightarrowa=mug`
`therefore a=0.3xx10=3ms^(-2)`
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