Predict/Explain When a ball of mass m is dropped from rest from a height h, its speed just before landing is v. Now, suppose a second ball of mass 4m is dropped from rest from a height h/4. (a) Just before ball 2 lands, is its speed 4v, 2v, v, v/2, or v/4? (b) Choose the best explanation from among the following:
I. The factors of 4 cancel; therefore, the landing speed is the same.
II. The two balls land with the same kinetic energy; therefore, the ball of mass 4m has the speed v/2.
III. Reducing the height by a factor of 4 reduces the speed by a factor of 4.
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