The normal reaction N for a vehicle of 800 kg mass, negotiating a turn on a 30 ° banked road at maximum possible speed without skidding is ____ × 10 3 kg m s - 2 .

Step-by-step solution

At v max ,   f will be limiting in nature. ∴ Balancing force in vertical direction, N cos 30 ° - m g - μ N cos 60 ° = 0 ⇒ N cos 30 ° - μ cos 60 ° = m g ∴   N = 800 × 10 ( 0 . 87 - 0 . 1 ) ≈ 10 . 2 × 10 3   kg   m   s - 2 Hence, option 1 .