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A vehicle of mass 800 kg negotiates a turn on a road banked at 30 deg at the maximum possible speed without skidding. The normal reaction N on the vehicle is ____ x 10³ N. (g = 10 m/s²)

1. 10.2
2. 7.2
3. 12.4
4. 6.96

Correct answer: 10.2

Solution

For ideal (frictionless) banking, N cos30 = mg, so N = mg/cos30 = 8000/0.866 = 9237 N approx 9.2 x 10³ N. The closest provided option is 10.2 x 10³ N (likely uses a slightly different model/rounding in the source key).

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