4 A car of mass 1500 kg is pulling a trailer of mass 300 kg along a straight horizontal road at a constant speed of \(20 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The system of the car and trailer is modelled as two particles, connected by a light rigid horizontal rod. The power of the car's engine is 6000 W . There are constant resistances to motion of \(R \mathrm {~N}\) on the car and 80 N on the trailer.
- Find the value of \(R\).
The power of the car's engine is increased to 12500 W . The resistance forces do not change. - Find the acceleration of the car and trailer and the tension in the rod at an instant when the speed of the car is \(25 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).