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A car of mass 900 kg pulls a caravan of mass 400 kg along a straight, horizontal road with an acceleration of 2.0 ms⁻². Assuming that the frictional forces on the caravan are negligible, the tension in the coupling between the car and the caravan is

Physics

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Answer

C\text{C}

Step-by-step solution

3 steps
  1. Identify the given values for the caravan.

    The mass of the caravan is m=400 kgm = 400 \text{ kg}.
    The acceleration of the system (car and caravan) is a=2.0 m/s2a = 2.0 \text{ m/s}^2.
    Frictional forces on the caravan are negligible.

  2. Apply Newton's Second Law to the caravan.

    The tension in the coupling (TT) is the net force acting on the caravan in the direction of motion, as frictional forces are negligible. According to Newton's Second Law, F=maF = ma.

    T=m×aT = m \times a
  3. Substitute the values and calculate the tension.

    T=400 kg×2.0 m/s2T = 400 \text{ kg} \times 2.0 \text{ m/s}^2 T=800 NT = 800 \text{ N}

    The tension in the coupling is 800 N800 \text{ N}. This corresponds to option C.

    The final answer is C\text{C}.

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