The maximum speed the car can move without skidding is determined as 28 m/s.
Maximum speed of the car
The maximum speed of the car moving in a circular path is provided by static frictional force.
Fs = μFₙ = mv²/r
μFₙ = mv²/r
mv² = μFₙr
v² = μFₙr/m
[tex]v_{max} = \sqrt{\frac{\mu_s F_n r}{m} } \\\\v_{max} = \sqrt{\frac{\mu_s (mg) r}{m} } \\\\v_{max} = \sqrt{\mu_sgr} \\\\v_{max} = \sqrt{(0.8)(9.8)(100)}\\\\v_{max} = 28 \ m/s[/tex]
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