May/June 2026 Paper 42

A crate of weight $W\mathrm{N}$ is at rest on rough horizontal ground. The crate is pulled at a constant acceleration of $1.5m/{\mathrm{s}}^2$ along the ground in a straight line by a light rope. The rope is inclined at an angle of $\theta$ to the horizontal, where $\theta ={\sin }^{-1}\frac{5}{13}$. The tension in the rope is $26\mathrm{N}$ (see diagram). The coefficient of friction between the crate and the ground is $0.25$.