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.
139 exam-style questions on AQA A Level Maths 3.3 R: Forces and Newton's laws, covering 3.3.1 Concept of a force and Newton's first law, 3.3.2 Newton's second law, 3.3.3 Weight and motion under gravity, 3.3.4 Newton's third law and equilibrium, 3.3.5 Addition of forces and resultants (A-level only), and 3.3.6 Friction (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.