(a)[2]
Determine how long it takes the crate to travel a distance of $15\,\text{m}$.
(b)[3]
The rope breaks when the crate has travelled $15\,\text{m}$. Determine the time taken, after the rope breaks, for the crate to stop.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A crate with mass $200\,\text{kg}$ is being dragged at constant speed across horizontal ground by a horizontal rope connected to a winch. The winch operates at a steady rate of $4.5\,\text{kW}$, and the crate experiences a constant resistive force with magnitude $600\,\text{N}$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applying the power definition: $P = \frac{\Delta W}{\Delta t}$ leading to $4500 = \frac{600\times15}{t}$” …
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