2. A car of mass 1000 kg is towing a caravan of mass 750 kg along a straight horizontal road. The caravan is connected to the car by a tow-bar which is parallel to the direction of motion of the car and the caravan. The tow-bar is modelled as a light rod. The engine of the car provides a constant driving force of 3200 N . The resistances to the motion of the car and the caravan are modelled as constant forces of magnitude 800 newtons and \(R\) newtons respectively.
Given that the acceleration of the car and the caravan is \(0.88 \mathrm {~ms} ^ { - 2 }\),
- show that \(R = 860\),
- find the tension in the tow-bar.