Moderate -0.8 This is a straightforward mechanics problem requiring resolution of forces parallel to the slope and application of F=μR. The constant speed condition immediately gives zero net force, making it a standard textbook exercise with no problem-solving insight needed—just methodical application of Newton's laws and friction formula.
A block of mass \(5\) kg is being pulled by a rope up a rough plane inclined at \(6°\) to the horizontal. The rope is parallel to a line of greatest slope of the plane and the block is moving at constant speed. The coefficient of friction between the block and the plane is \(0.3\). Find the tension in the rope. [4]
Question 2:
2 | R = 5g cos 6 | B1
[F = 0.3 × 5g cos 6] | M1 | Use of F = µR
[T = 5g sin 6 + F] | M1 | For resolving along the plane
T = 20.1 N (20.14425...) | A1
4
Question | Answer | Marks | Guidance
A block of mass $5$ kg is being pulled by a rope up a rough plane inclined at $6°$ to the horizontal. The rope is parallel to a line of greatest slope of the plane and the block is moving at constant speed. The coefficient of friction between the block and the plane is $0.3$. Find the tension in the rope. [4]
\hfill \mbox{\textit{CAIE M1 2018 Q2 [4]}}