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JEE Main 2016 Physics question

PhysicsLaws of MotionJEE Main 2016

A particle of mass is acted upon by a force given by the empirical law . If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot

Answer: (1)

Solution

Newton's second law gives

m = v ⇒ = ·.

Integrating both sides,

v = -·Missing argument for \frac\frac1t + constant.

So is a *linear* function of , with slope . Plotting

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Question ID VK-115586