An object of mass m is dropped from the roof of a building of height h. While th

Question

An object of mass m is dropped 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) How long does it take the object to strike the ground? Express the time 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, F, g, 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) t = v[2h/g] b) a(x) = F/m c) Xh = ½*a(x)*t² = ½*(F/m)*2gh = Fgh/m d) a(x) = F/m; a(y) = g; ....a = v(a(x)²+a(y)²) a = v[(F/m)² + g²]

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