Consider a drop of rain water having mass $$1$$ g falling from a height of $$1$$ km. It hits the ground with a speed of $$50$$ $$ms-1$$. Take 'g' constant with a value $$10ms-2$$. The work done by the (i) gravitational force and the (ii) resistive force of air is

Question

Consider a drop of rain water having mass $$1$$ g falling from a height of $$1$$ km. It hits the ground with a speed of $$50$$ $$ms-1$$. Take 'g' constant with a value $$10ms-2$$. The work done by the (i) gravitational force and the (ii) resistive force of air is

Infinity Learn · Accepted Answer

Here, $$m=1$$ $$g=10-3$$ kg,$$h=1$$ $$km=1000$$ m,$$v=50$$ m $$s-1$$,$$g=10$$ m $$s-2(i)$$ The work done by the gravitational force $$=$$$$mgh$$$$=10-3$$×$$10$$×$$1000=10$$ $$J(ii)$$ The total work done by gravitational force and the resistive force of air is equal to change in kinetic energy of rain drop.∴$$Wg+Wr=12mv2-010+Wr=12$$×$$10-3$$×$$50$$×$$50$$ or $$Wr=-8.75$$ J

Consider a drop of rain water having mass 1 g falling from a height of 1 km. It hits the ground with a speed of 50 $m s^{- 1}$ . Take 'g' constant with a value 10 $m s^{- 2}$ . The work done by the (i) gravitational force and the (ii) resistive force of air is

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Consider a drop of rain water having mass 1 g falling from a height of 1 km. It hits the ground with a speed of 50 ms-1. Take 'g' constant with a value 10ms-2. The work done by the (i) gravitational force and the (ii) resistive force of air is

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Consider a drop of rain water having mass 1 g falling from a height of 1 km. It hits the ground with a speed of 50 $m s^{- 1}$ . Take 'g' constant with a value 10 $m s^{- 2}$ . The work done by the (i) gravitational force and the (ii) resistive force of air is