At an airport, luggage is unloaded from a plane into the three cars of a luggage carrier, as the drawing shows. ?

The acceleration of the carrier is 0.132 m/s2, and friction is negligible. The coupling bars have negligible mass.

If 30.3 kg of luggage were removed from car 2 and placed in car 1, by how much would the tension change in coupling bars (a) A, (b) B, and (c) C?

If instead 30.3 kg of luggage were removed from car 2 and placed in car 3, by how much would the tension change in coupling bars (d) A, (e) B, and (f) C?

In each case, give your answer as a positive number if the tension increases, and negative if it decreases.

1 Answer

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  • NCS
    Lv 7
    1 month ago

    Assuming your image looks like the one below, then

    (a) moving luggage between the cars does not affect the tension in coupling A. It's still accelerating the same amount of mass.

    (b) But now the amount of mass being accelerated by coupling B has decreased by 30.3 kg; the tension changes by

    -30.3kg * 0.132m/s² = -4.00 N

    (c) The amount of mass being accelerated by coupling C is unchanged, so the tension there is unchanged.

    (d) (e) moving luggage between cars 2 and 3 has no effect on the tension in couplings A and B. The amount of mass they are accelerating is unchanged.

    (c) But the amount of mass being accelerated by coupling C has increased; the tension change is +4.00 N

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