Newton's laws of motionEdexcel International A Level Maths: Mind map

Exam questions on Newton's laws of motion

1. A lift of mass $400$ kg carries a passenger of mass $70$ kg. The lift moves vertically upwards with constant acceleration $0.6$ m s⁻² and is supported by a vertical cable. Take $g=9.8$ m s⁻².
   Find the tension in the cable.2 marks
2. A particle $P$ of mass $3$ kg moves on a smooth horizontal plane under the action of two forces, $(5\mathbf{i}-2\mathbf{j})$ N and $(-\mathbf{i}+8\mathbf{j})$ N, only. The vectors $\mathbf{i}$ and $\mathbf{j}$ are perpendicular unit vectors in the plane.
   The particle is at rest at time $t=0$. Find the speed of $P$ when $t=3$ s.2 marks
3. A crate of mass $15$ kg is pulled along a horizontal floor by a rope inclined at $30^\circ$ above the horizontal. The tension in the rope is $60$ N and the resistance to the motion of the crate is constant at $20$ N. Model the crate as a particle and take $g=9.8$ m s⁻².
   Find the acceleration of the crate.3 marks