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  A geriatrician wanted to study the problem of diabetes in a nursing home. The nursing home had 300 residents. Among these, 30 residents were already diagnosed as diabetic, and 20 more residents were diagnosed as diabetics after blood glucose and HbA1c tests on Jan 1, 2016. Blood work up was done at 6-month intervals and 50 residents were diagnosed with diabetes over the course of 12 months. What is the incidence rate of diabetes in the nursing home population in the year 2016?
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  A metal ball of mass 100 gm moves with a uniform velocity 10 m/sec in a dusty medium such that the dust sticks to its surface at a constant rate equal to 0.6 gm per second. Find the mass of the ball and the force acting on it at any moment in dyne.
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