A lift starts from rest and begins to descend such that its downward acceleration…

PHYSICS · Multi-part · CBSE · Physics · Exploring Forces · Exploring Forces

Problem

A lift starts from rest and begins to descend such that its downward acceleration varies with time as a=2t m s−2a = 2t\,\text{m}\,\text{s}^{-2}, where tt is in seconds (t≥0)(t \ge 0). A block of mass 5 kg5\,\text{kg} is kept on a spring balance inside the lift. (i) Write an expression for the reading R(t)R(t) of the balance at an arbitrary time tt. Assume g=9.8 m s−2g = 9.8\,\text{m}\,\text{s}^{-2}. (ii) At what time will the balance first read zero?

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