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Q.

Conveyor belt is moving to right with 3t m/s, where t is in seconds. Block of mass 4 kg is projected with speed 8 m/s leftwards on the rough conveyor belt having coefficient of static friction as 0.6 & coefficient of kinetic friction as 0.5. Find distance travelled by block in 8 seconds. (g= 10 m/s2)

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answer is 92.8.

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Detailed Solution

Block comes to rest at t= 1.6 sec and covers distance of 6.4 m while retarding at 5 m/s2
Slipping stops at t = 4 sec. 
Distance covered in remaining 2.4 sec = 14.4 m with acceleration = 5 m/s2
In remaining 4 seconds, block covers 72 m with initial velocity 12 m/s and acceleration 3 m/s2
 

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