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Question 5

A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against the wall with a speed v. Which of the following curve represents the correct relation between the normal reaction on the block by the wall (N) and speed of the block (v)?

Solution

Here we know that Normal reaction is equal to the centrifugal force

Centrifugal Force , $$F_c=\frac{mv^2}{r}$$

so $$ N=F_c=\frac{mv^2}{r}$$

Therefore N is a function of $$v^2$$

so the curve is parabolic, the same as $$kx^2$$

So Option A is correct

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