An object with a mass of m1 is free falling due to gravity. After falling for a

Question

An object with a mass of m1 is free falling due to gravity. After falling for a while, it attaches to a set of ballons that have a mass of mb and provide a constant force upward of Fb. Shortly after attaching to the balloons the velocity is measured as v. How much farther with the object fall before it begins to rise from the balloons. (i. e. when does the velocity go to zero in terms of the available varibles?) Varibles: mass of object m1 mass of balloons mb force of balloons upward Fb gravitational constant g velocity right after attaching to balloons v

Explanation / Answer

retardation = -Fb/(m1+mb) m/s2 using V^2 = U^2 + 2aS we have V =0 U=v, a= -Fb/(m1+mb), solving for s we get s= (m1+mb)v^2/2Fb meters

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