A 1100 kg car moves along a horizontal road
at speed v0 = 26 m/s. The road is wet, so the
static friction coefficient between the tires and
the road is only µs = 0.323 and the kinetic
friction coefficient is even lower, µk = 0.2261.
The acceleration of gravity is 9.8 m/s
Assume: No aerodynamic forces; g =
9.8 m/s forward is the positive direction.
What is the highest possible deceleration of the car under such conditions?
Answer in units of m/s
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Answers & Comments
You can ignore car's actual mass, as you have friction coefficients, which are ratios. Use 1kg. mass (9.8N. force, = g).
You need to use the static coefficient (the wheels must not skid).
Acceleration max = (0.323 x g) = -3.1654 m/sec^2. Round as appropriate.