Variable forces and powerAQA A-Level Further Maths: Mind map

Exam questions on Variable forces and power

1. A particle of mass 2 kg is moved along a straight line from $x=0$ to $x=4$ by a force of magnitude $F=3x^2+2$ newtons acting in the direction of motion, where $x$ is the distance in metres from the starting point. The particle starts from rest and no other force does work.
   Find the work done by the force as the particle moves from $x=1$ to $x=3$.2 marks
2. A car of mass 1200 kg travels along a straight horizontal road with its engine working at a constant 30 kW. The resistance to motion is a constant 750 N.
   Find the acceleration of the car when its speed is $20\text{ m s}^{-1}$.2 marks
3. A train of mass 200 000 kg moves along a straight horizontal track. The engine works at a constant 400 kW and the resistance to motion is a constant 8000 N.
   Find the acceleration of the train when its speed is $25\text{ m s}^{-1}$.3 marks