The skid marks are about 295m long
The formula for calculating the frictional force is expressed as;
[tex]F=\mu R[/tex]
Since the car is travelling at a speed, the expression becomes
[tex]\frac{mv^2}{r}=\mu R[/tex]
m is the mass = 2000kg
v is the velocity = 34m/s
r is the distance taken to skid
μ is coefficient of friction = 0.4
R is the normal reaction = mg = 2000 (9.8)
R = 19600N
Substitute the given values to get "r"
[tex]\frac{2000(34)^2}{r}=0.4 \times 19600\\\frac{2312000}{r} = 7840\\r=\frac{2312000}{7840}\\r= 294.89m[/tex]
Hence the skid marks are about 295m long.
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