A robot unloads a finished component from a machine and places it on a gravity c

Question

A robot unloads a finished component from a machine and places it on a gravity conveyor. The component accelerates from rest until it reaches the bottom of the conveyor 4.5 seconds later. The component is travelling at a velocity of 1.35m/s when it reaches the bottom of the conveyor where it is hen stopped by hitting a buffer. The component st=its stationary awaiting packing. A. DETERMINE THE LINEAR ACCELERATION OF THE COMPONENT AS IT TRAVELS DOWN THE GRAVITY CONVEYOR (IGNORING FRICTIONAL FORCES) B. THE CONVEYOR SECTION LENGTH IS LATER MODIFIED AND EXTENDED BY A FURTHER 1.5m. DETERMINE THE NEW VELOCITY OF THE COMPONENTS WHEN THEY REACH THE BUFFER. C. EXPAIN THE CAUSE OF THE COMPONENTS ACCELERATING FROM REST DOWN THE CONVEYOR. D. DETERMINE THE FORCEE EXERTED BY THE COMPONENT OF 4kg MASS DOWNWARD ON THE CONVEYOR AS IT SITS AT THE BUFFER. E. EXPLAIN WHY THE COMPONENT DOES NOT ACCELERATE DOWN THROUGH THE CONVEYOR WHILST RESTING AT THE BUFFER.

Explanation / Answer

a = 1.35/4.5 = 0.3 m/s2 s = 0.5*a*t^2 = 3.0375m new distance, s'= 3.0375+1.5 = 4.5375m so new velocity = 2*4.5375*0.3 m/s =2.7225m/s

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