Although human beings have been able to fly hundreds of thousands of miles into outer space, getting inside the earth has proven
much more difficult. The deepest mines ever drilled are only about 10 miles deep. To illustrate the difficulties associated with such drilling, consider the following: The density of steel is about 7900 kilograms per cubic meter, and its breaking stress, defined as the maximum stress the material can bear without deteriorating, is about 2.0×1092.0×109 pascals. What is the maximum length of a steel cable that can be lowered into a mine? Assume that the magnitude of the acceleration due to gravity remains constant at 9.8 meters per second per second. Use two significant figures in your answer, expressed in kilometers.
An initial velocity is: v o = 25 m/s The vertical component of the initial velocity: v o y = v o * sin 60° = = v o * √3 / 2 = 25 m/s * √3 / 2 = 21.65 m/s Answer: The approximate vertical component of the initial velocity is 21.65 m/s.
