Question

A car moves at a speed of 36 km hr^-1 on a level road. The coefficient of friction between the tyres and the road is 0.8. The car negotiates a curve of radius R. If g = 10 ms^-2 , then the car will skid (or slip) while negotiating the curve, if the value of R is ____________.

पर्याय

• 6 m

• 12 m

• 14 m

• 16 m

Answer 1

A car moves at a speed of 36 km hr^-1 on a level road. The coefficient of friction between the tyres and the road is 0.8. The car negotiates a curve of radius R. If g = 10 ms^-2 , then the car will skid (or slip) while negotiating the curve, if the value of R is 12 m.

Explanation:

The speed with which the car turns is

`"v"^2 ge mu"Rg"`

`therefore "R" le ((36 xx 10^3)/3600)^2 xx 1/(0.8 xx 10)`

` = 12.5 "m"`

`therefore "R" le 12.5  "m"`

`therefore "R" = 12  "m"`