A 10-pound solid iron ball is dropped from 5 feet above the surface of a lake that is 50 feet deep. The time for the ball to disappear is measured with a stopwatch. This measurement is made under two different conditions as follows:
Condition 1: It is noon on a bright sunny day with the wind from the north at 4 mph.
The temperature of the lake at the surface is 40 degrees Fahrenheit. The lake is crystal clear with visibility downward 25 feet.
Condition 2: It is 2:00 PM on a cloudy day with the wind from the south at 10 mph. The temperature of the lake at the surface is 20 degrees Fahrenheit. Visibility downward is less than a few inches below the surface.
Under which condition will the ball take the longest time to disappear? Explain.
The ball takes the longest time to disappear under condition 2.
Of all the information given, the temperature makes the biggest difference in this problem. Since the freezing point of fresh water is 32 degrees Fahrenheit, the lake surface will be frozen solid at a temperature of 20 degrees Fahrenheit. Thus, the ball will fall 5 feet to the surface and after a few bounces will to come to rest and stay put.
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