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A car with a mass of 1000 kg is moving on an un-banked ramp with a radius of 100 m. what is the maximum speed the car can move without skidding if the coefficients of static and kinetic friction are 0.80 and 0.60 respectively

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onyebuchinnaji

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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