Work, energy and powerEdexcel A-Level Further Maths: Mind map

Exam questions on Work, energy and power

1. A stone of mass $0.2$ kg is thrown vertically upwards from ground level with speed $15$ m s$^{-1}$. Air resistance may be ignored. Take $g=9.8$ m s$^{-2}$.
   Find the speed of the stone when it is $5$ m above the ground, on the way up.2 marks
2. A car of mass $1200$ kg has its engine working at a constant power of $24$ kW. The resistance to the car's motion is constant at $600$ N on every road.
   The car climbs a straight road inclined at an angle $\alpha$ to the horizontal, where $\sin\alpha=\frac{1}{20}$, at a constant speed. Find this speed.2 marks
3. A particle of mass $4$ kg is projected up a line of greatest slope of a rough plane that is inclined at $30^\circ$ to the horizontal, with initial speed $8$ m s$^{-1}$. The coefficient of friction between the particle and the plane is $0.3$. Take $g=9.8$ m s$^{-2}$.
   Find the magnitude of the frictional force acting on the particle.3 marks