At an airport, luggage is loaded into a train of three identical carts which are

Question

At an airport, luggage is loaded into a train of three identical carts which are pulled by a tractor of mass 2000 kg, as illustrated above. EACH luggage cart has a mass of 1200kg; you may assume that the mass of the coupling bars is negligible. After a plane has been unloaded, each cart is loaded with 1800 kg of luggage. The train of luggage cars is then pulled across the apron at a constant speed of 4.5 m/s (about 10mph). The train of baggage carts then comes to rest in 10 seconds with a uniform acceleration. Which of the following is closest to the value in Newtons of the force that coupling bar A exerts on Car 1 during this process, assuming that a constant resistive force (due to frictional effects) of 200 N acts on each cart while it is moving?

Explanation / Answer

Resultant force on cars = ma = 3*(1200+1800)*4.5/10 = 4050 N

Frictional Force = 3*200 = 600 N

Force exrted by coupling bar A on Car 1 = 4050-600 = 3450 N

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