A block of mass 1 kg is horizontally thrown with velocity of 10 m/s on a stationary long rough plank whose coefficient of kinetic friction is 0.25. After what time block will come to rest?
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Answer:
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Explanation:
Consider the common velocity of the system= V
By conservation of Momentum:-
1×10=(2+1)V
So, V=10/3
Force on block= μmg=5×1×10=5N
De-acceleration of block a= 5a/1=5m/s
2
Let time to change the velocity from 10 to 10/3 is t then,
10−10/3=at=5t
or, t=
5×3
20
=
3
4
s
Even at sliding condition, limiting friction is acting.
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