In this question use g=9.8 m s−2g = 9.8 \text{ m s}^{-2}g=9.8 m s−2.
A museum curator attempts to reposition a bronze sculpture of mass 40 kg40 \text{ kg}40 kg across a rough horizontal gallery floor. The coefficient of friction between the sculpture and the floor is 0.550.550.55.
The curator first tries to push the sculpture with a horizontal force of 210 N210 \text{ N}210 N. Show that the sculpture does not move.
The curator then attaches a harness and pulls the sculpture. The harness acts at an angle of 25∘25^\circ25∘ above the horizontal. The curator exerts a tension of 210 N210 \text{ N}210 N in the harness. Determine whether the sculpture remains stationary under these conditions. Justify your answer with calculations.
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.