Newton's second law, weight and gravityAQA A-Level Maths: Mind map

Exam questions on Newton's second law, weight and gravity

1. A box of mass $8$ kg is pulled across smooth horizontal ground by a constant horizontal force of $20$ N. The box starts from rest.
   Find the distance travelled by the box in the first $4$ s.2 marks
2. A lift of mass $500$ kg is raised and lowered by a vertical cable. Take $g=9.8$ m s⁻² and ignore air resistance.
   While the lift is moving upwards at $2$ m s⁻¹ the cable snaps. Find the further height the lift rises before it is instantaneously at rest.2 marks
3. A particle of mass $2$ kg is acted on by two forces $\mathbf{F}_1=(6\mathbf{i}-2\mathbf{j})$ N and $\mathbf{F}_2=(\mathbf{i}+8\mathbf{j})$ N, and no other forces. The vectors $\mathbf{i}$ and $\mathbf{j}$ are perpendicular unit vectors.
   Find the acceleration of the particle.3 marks