Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line

Kinematics of motion in a straight line — practice question

A $10\,\text{kg}$ block is initially stationary on a rough plane tilted at $30^\circ$ to the horizontal. A $120\,\text{N}$ force acts on the block at an angle of $20^\circ$ above the line of greatest slope (see diagram). A force opposes the block’s motion, and $200\,\text{J}$ of work is done against this force as the block moves $5\,\text{m}$ up the plane from rest.
(main)[5]

Determine the speed of the block once it has travelled $5\,\text{m}$ up the plane from rest.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct work done by 120 N force, $120\times5\cos20$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI