A 2000 kg car has to go over a turn whose radius is `750 m` and the abgle of slopw is `5^(@)`. The coefficient of friction between the wheels and the road is 0.5. What should be the maximum speed of the car so that it may go over the turn without slipping ?

Answer

`67.2m//s` .

Explanation

Here, `m = 2000kg, r = 750cm`
`theta = 5^(@), mu_(s) = 0.5, upsilon_(max) = ?`
`upsilon _(max) = [[rg(mu_(s) + tan 0))/((1 - mu _(s) tan theta))]^(1//2)`
`[(750 xx 9.8 (0.5 + tan5^(@)))/(1 - 0.5 tan5^(5))]^(1//2)`
`=[(750 xx 9.8 (0.5 + 0.087))/(1 - 0.5 xx 0.087)]^(1//2)`
`upsilon_(max) =67.2 m//s` .