In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A block of mass 6 kg is projected with speed 8 m s−1^{-1}−1 up a line of greatest slope of a rough plane inclined at an angle of 20° 20°\,20° to the horizontal.
The coefficient of friction between the block and the plane is 0.35.
Find the distance the block travels up the plane before it first comes to rest.
Determine whether the block then remains at rest.
87 exam-style questions on OCR (MEI) A Level Maths 3.4 Forces, covering 3.4.1 Language relating to forces, 3.4.2 Acceleration due to gravity, 3.4.3 Identify forces and draw force diagrams, 3.4.4 Resultant of concurrent forces, 3.4.5 Equilibrium of a particle, 3.4.6 Resolve a force into components (A-level only), 3.4.7 Equilibrium condition for resultant zero (A-level only), 3.4.8 Forces in equilibrium sum to zero (A-level only), 3.4.9 Equations for a particle in equilibrium (A-level only), 3.4.10 Frictional force and normal contact force (A-level only), 3.4.11 Model friction with F ≤ μR (A-level only), and 3.4.12 Apply Newton's Laws to friction problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.