Forces and Newton's first lawEdexcel A-Level Maths: Mind map

Exam questions on Forces and Newton's first law

1. A box of weight $200$ N rests on a rough horizontal floor. A horizontal force of $35$ N pushes on the box, but the box does not move. Model the box as a particle.
   The push is increased to $60$ N and the box now moves along the floor at a constant speed. State the magnitude of the resistance to the box's motion and justify your answer.2 marks
2. A car travels along a straight horizontal road at a constant speed of $25$ m s$^{-1}$. The engine provides a driving force of $1800$ N. Model the car as a particle.
   Explain why the engine must provide a driving force even though the car is moving at constant speed.2 marks
3. Three horizontal forces act on a particle: $\mathbf{F}_1=(3\mathbf{i}+5\mathbf{j})$ N, $\mathbf{F}_2=(-7\mathbf{i}+2\mathbf{j})$ N and $\mathbf{F}_3=(p\mathbf{i}+q\mathbf{j})$ N, where $\mathbf{i}$ and $\mathbf{j}$ are perpendicular unit vectors. The particle moves with constant velocity.
   Find the values of $p$ and $q$.3 marks