An object of mass m is dropped at t = 0 from the roof of a building of height h.

Question

An object of mass m is dropped at 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 force F on the object.
(a) At what time t does the object strike the ground? Express t in terms of g and h.
t =

(b) Find an expression in terms of m and F for the acceleration ax of the object in the horizontal direction (taken as the positive x direction).
ax =

(c) How far is the object displaced horizontally before hitting the ground? Answer in terms of m, g, F, and h.
?x =

(d) Find the magnitude of the object's acceleration while it is falling, using the variables F, m, and g.
a =

Explanation / Answer

a= Fnet /m = mg = g a. t= sqrt( 2h/g) b.ax= + F/m c.d= 1/2 at^2 = 1/2 X F/m X 2h/g = Fh/mg. d. Anet = sqrt( g^2 + F/m^2 )

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