question_answer 36)

The rear side of a truck is open and a box of 40 kg mass is placed 5 m away from the open end as shown in Fig. 5.137. The coefficient of friction between the box and the surface below it is 0.15. On a straight road, the truck starts from rest and accelerates with . At what distance from the starting point does the box fall off the truck ? Ignore the mass of the box.     Fig. 5.137  

Answer:

Mass of box, Acceleration of truck,   Distance of the box from the rear end,   Coefficient of friction,   As the box is in an accelerated frame, it experiences a backward force,                                           Motion of the box is opposed by the frictional force,   n    Net force on the box in the backward direction is   . Acceleration produced in the box in the backward direction,   If the box takes time t to fall off the truck, then  or or            The distance covered by the truck accelerating at  during this time is .