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18 June, 23:21

A 1100-kg car pulls a boat on a trailer. (a) what total force resists the motion of the car, boat, and trailer, if the car exerts a 1900-n force on the road and produces an acceleration of 0.550 m/s2? the mass of the boat plus trailer is 700 kg. (b) what is the force in the hitch between the car and the trailer if 80% of the resisting forces are experienced by the boat and trailer?

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  1. 19 June, 01:38
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    Refer to the diagram shown below.

    R = total resistive force.

    80% of this force is experienced by the boat and trailer.

    T = the force in the hitch between the car and the trailer.

    Overall motion:

    Total mass = 1100 + 700 = 1800 kg

    Acceleration = 0.55 m/s²

    Driving force = 1900 N

    Resisting force = R N

    Therefore

    (1900 - R N) = (1800 kg) * (0.55 m/s²)

    1900 - R = 990

    R = 910 N

    0.2R = 182 N

    0.8R = 728 N

    Consider the motion of the car:

    Driving force = 1900 N

    Resistive force = 0.2R = 182 N

    Force in the hitch = T NAcceleration = 0.55 m/s²

    Mass = 1100 kg

    Therefore

    1900 - 0.2R - T = 1100*0.55

    1900 - 182 - T = 605

    T = 1113 N

    Answer:

    R = 910 N, the total resistive force.

    T = 1113 N, the force in the hitch between the car and trailer.
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