A car turns a corner on a slippery road at a constant speed 10 m/s If the coefficient of friction is 0.5,the minimum radius of arc in meter in which the car turns..
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Condition is, A car turns a corner on a slippery road ,
where v is the speed of car , is coefficient of friction , r is the radius of arc in which the car turns and g is acceleration due to gravity.
now, v ≤
squaring both sides,
v² ≤
v²/g ≤ r
hence, minimum value of r = v²/g
now, r = (10)²/(0.5 × 10) = 100/5 = 20m
hence, radius of arc in which the car turns is 20m
where v is the speed of car , is coefficient of friction , r is the radius of arc in which the car turns and g is acceleration due to gravity.
now, v ≤
squaring both sides,
v² ≤
v²/g ≤ r
hence, minimum value of r = v²/g
now, r = (10)²/(0.5 × 10) = 100/5 = 20m
hence, radius of arc in which the car turns is 20m
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hope this will help you very much.
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