+1 vote
in Class 12 by kratos

A car moves at a constant speed on a road as shown in figure (7-Q2). The normal force by the rn oad othe car is NA and NB when it is at the points A and B respectively.

(a) NA = NB(b) NA > NB (c) NA <NB (d) insufficient information to decide the relation of NA and NB

1 Answer

+1 vote
by kratos
 
Best answer

The right answer is(c) NA <NB

Explanation:

Both points A and B are on the crest of the curves where the weight of the car 'mg' is perpendicular to the surface. But due to the movement of the car on the curve it will feel reduction in the weight by an amount mv²/r, where 'v' is the constant speed of the car and 'r' is the radius of the curve. Clearly this reduction in weight is inversely proportional to 'r' as the numerator is constant. Smaller the 'r', greater is the term mv²/r. Since 'r' at point A is smaller than at the point B, so reduction in weight will be more at A than at B. It means the apparent weight is less at A than B.

Normal forces at these points will be equal to the apparent weight at these points. So NA < NB .

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