A celebrating student throws a water balloon horizontally from a window that is

Question

A celebrating student throws a water balloon horizontally from a window that is 31 m above ground. It hits the ground at a point 42 m from the building without appreciable air resistance. What will be the horizontal component of the velocity of the balloon just before it hits the ground? What will be the magnitude of the vertical velocity of the balloon just before it hits the ground? A disk-shaped space station 125 m in diameter spins at a uniform rate about an axis through its center and perpendicular to the plane of the disk. If the acceleration of a point on the rim of the disk is to be equal to g, how long does it take for the station to make one revolution? Use g = 9.8 m/s^2. (length of the circumference 2 pi r)

Explanation / Answer

problem 2:

Use the kinematics formula that relates centripetal acceleration to rotation period:

a = (2/T)²R

You want the acceleration to be "g"; so do the substitution:

g = (2/T)²R

Now just solve for "T", plugging in "9.8 m/s²" for g; and "125 m" for R

T=2*3.14/[sqrt(9.8/125)]=22.42

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