A 1500 kg car enters a section of curved road in the horizontal plane and slows down at a uniform rate from a speed of 100 km/hr at A to a speed of 50 km/hr as it passes C. The radius of curvature of the road at A is 400 m and at C is 80 m. The total horizontal force exerted by the road on tyres at position C is ...... N.
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Ans. 4220
Sol. 
Tangential acceleration:
= 1.447 m/s 2 Normal acceleration at C is
a n = 
= 2.41 m/s
2 Tangential force at C
F t = ma t
= 1500 × 1.447
= 2170 N
Normal force at C
F n = ma n
= 1500 (2.41)
= 3620 N
Total force at C
F = 
F = 
F = 4220 N
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