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Q.

Initial velocity of the block  v¯=45i^ while external force on it is  F¯=25(i^). It coefficient of static and kinetic friction are 0.3 and 0.2 respectively. Then distance travelled by the block in 12 sec. (g=10 m/s2) is: 

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answer is 225.

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Detailed Solution

Net retardation  a=fext+μkmgm=4.5
If body stop at time t, then 
V=u+at 0=454.5t   t=10sec

When block stops, Fext will try to bring the block back ward while frictional force will oppose its motion, since block is stationary therefore at this moment, frictional force will be static. Whose maximum value will be  μsmg=30N. Since static frictional force is self adjusting therefore it will be 25 N and block will not move after t=10 sec.

Distance travelled in the 10 seconds is 

s=4522×4.5=225 m

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