(a)[3]
Find the value taken by $m$.
(b)[2]
The resistance force acting on the trailer is $200\,\text{N}$. Find the tension in the tow-bar joining the car and the trailer.
Mathematics 9709 · AS & A Level · Newton's laws of motion
Newton's laws of motion — practice question
A car with mass $m\,\text{kg}$ is pulling a trailer of mass $300\,\text{kg}$ downhill on a straight slope at $3^{\circ}$ to the horizontal at constant speed. Resistive forces act on both the car and the trailer, and the total work done against these resistive forces over a distance of $50\,\text{m}$ is $40\,000\,\text{J}$. The car’s engine is doing no work, and the tow-bar is light and rigid.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State that the loss of potential energy is $(m+300)g \times 50\sin 3$ or the work done against resistance.” …
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