A rough ramp is inclined to the horizontal at an angle α\alphaα, where tanα=34\displaystyle \tan \alpha = \frac{3}{4}tanα=43. A box of mass M M\,M kg is placed on the ramp and released from rest. The coefficient of friction between the box and the ramp is 12\displaystyle \frac{1}{2}21.
Find the acceleration of the box as it slides down the ramp.
A different box with mass 3M 3M\,3M kg is placed on the same ramp. Explain how the acceleration of this box would compare to your answer in part (a).
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.