A 1750 kg van is travelling down a 10 degrees inclined road
at a speed of 6 m/s. If the driver brakes suddenly causing the
wheels to lock, determine the distance L his tyres will skid on
the road. The coefficient of kinetic friction between the
wheels and the road is 0.5.
(a) Draw the free body diagram of the forces. [4 marks]
(b) Use the equation of equilibrium to calculate the
Friction Force Fk.
[6 marks]
(b) Apply the principle of Work and Energy to find L.
[10 marks]
F=ma
mg*sinTheta-mu*mg*cosTheta=ma
so that gives you acceleration down the hill (it ought to come out negative, of course).
FinalKE+finalPE=InitialKE+workdone+initial PE
vf^2=vi^2+2ad
solve for d.