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Math Help - M1 help please- Connected particles

  1. #1
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    M1 help please- Connected particles

    Im a little dubious on where to start this question.
    Im not sure whether I have to create 2 simultaneous equations and then substitute one into the other, so im on here to ask for a few pointers.

    A car of mass 800kg is pulling a caravan of mass 1000kg along a straight, horizontal road. The caravan is connected to the car by means of a light, rigid tow bar. The car is exerting a driving force of 1270N. The resistances to the forward motion of the car and the caravan are 400N and 600N respectively.

    Show that the acceleration of the car and caravan is 0.15ms-2
    Any helpful guidance would be greatly appreciated and rep will be given!

    thanks
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  2. #2
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    A car of mass 800kg is pulling a caravan of mass 1000kg along a straight, horizontal road. The caravan is connected to the car by means of a light, rigid tow bar. The car is exerting a driving force of 1270N. The resistances to the forward motion of the car and the caravan are 400N and 600N respectively.

    Show that the acceleration of the car and caravan is 0.15ms-2
    let T = force exerted by the tow bar on the car and caravan

    net force on the car ...

    Fnet = 1270 - (T+400)

    800a = 1270 - (T+400)

    net force on the caravan ...

    Fnet = T - 600

    1000a = T - 600

    solve the system of equations for T and a
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