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Q.

A ball of mass is thrown in air with speed v1  from height h1  to a height h2>h1  . Find the work done by the balls by the air resistance

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a

mg(h2−h1)

b

12m(v22−v12)

c

mg(h2−h1)+12m(v2 2−v1 2)

d

mg(h2+h1)−12m(v2 2-v1 2)

answer is C.

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Detailed Solution

Given mass of ball = m Let speed = vWork done by gravity Wg=-mg(h2−h1) According to work-energy theoremwg+wair=ΔKE                       wg+wair=12m(v22−v12) wair=mg(h2−h1)+12m(v22−v12)
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A ball of mass is thrown in air with speed v1  from height h1  to a height h2>h1  . Find the work done by the balls by the air resistance