Mathematics 9709 · AS & A Level · Newton's laws of motion
Newton's laws of motion — practice question
A car with mass $1700\,\text{kg}$ is towing a trailer with mass $300\,\text{kg}$ on a level straight road. A light inextensible cable, parallel to the road, joins the car to the trailer. The constant resistive forces opposing motion are $400\,\text{N}$ on the car and $150\,\text{N}$ on the trailer. The car’s engine has power $14\,000\,\text{W}$.
(main)[6]
Determine the acceleration of the car and the tension in the cable when the speed is $20\,\text{m s}^{-1}$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Driving force found correctly $=\frac{14000}{20}=700$” …