Car Travel
Posted on Saturday, January 23, 2010 in Photography
How far does the car travel after the brakes are applied?
A 1200 kg car is moving in a straight line at a constant speed of 15 m/s when the brakes are applied. The coefficient of friction between the car and the road is 0.25. How far in m does the car travel after the brakes are applied?
because there is Friction involve, work is done
Work = ΔEnergy
Work = PEf - PEi
Intially, the car has Kinetic Energy, when it stops, its final energy is 0J, because work takes out of its energy
Work = 0 - KEi
Work = -KE
we know that Work = Force * distance. In this case, the force is the Firction force
Friction * d = - KE
Friction = μ(Fnormal)
the normal force in this case is equal to the weight
Friction = μ(weight)
weight = mg
Friction = μ(mg)
again, Friction * d = -KE
μ(mg) * d = -.5mv^2
the mass cancel out, leaving you with:
μg * d = -.5v^2
.25(-9.8) * d = -.5(15)^2
-2.45d = -112.5
d = 45.92m
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