6) An object of mass m is dropped at time t = 0 from the roof of a building of h

Question

6) An object of mass m is dropped at time t = 0 from the roof of a building of height h. While the object is falling, a wind blowing parallel to the face of the building exerts a constant horizontal force F on the object. a) At what time t does the object strike the ground? Express t in terms of g and h. b) How far is the object displaced horizontally before hitting the ground? Express your answer in terms of m, g, F, and h. c) What is the magnitude of the objects acceleration while it is falling, in terms of F, m, and g?

Explanation / Answer

a) y direction

y = y0 + v0y t + 1/2 a t^2

0 = h - 1/2 g t^2

t^2 = 2 h/g

t = sqrt(2 h/g)

b)

a = F/m

x = 1/2 a t^2 = 1/2 (F/m) 2 h/g = F H/(mg)

c)

a = sqrt( ax^2 + ay^2) = sqrt( (F/m)^2 + g^2)

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