Graphing either n versus v 2 or v 2 versus n gives a straight line. In the graph

Question

Graphing either n versus v2 or v2 versus n gives a straight line. In the graph shown above, we chose to plot n on the vertical axis and v2 on the horizontal axis because Newton

Graphing either n versus v2 or v2 versus n gives a straight line. In the graph shown above, we chose to plot n on the vertical axis and v2 on the horizontal axis because Newton's second law at the bottom of a circular arc gives the scale reading (the normal force) as a function of velocity squared. From the equation for the line of best fit given, determine the dip's radius of curvature r.

Explanation / Answer

when v=0, n=mg =588 N , so mass of particle ,m =588/g =60 kg.

since at any point , n = ma+mg , for v^2=300 , n = 0.4*300+588 = 708 N.

and ma =120.

so ,a =1 20/60 = 2 m/s^2.

now here a=V^2/r and V^2=300 . r=V^2/a =300/2 =150 m. ans

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