A 1500 wrecking ball hangs from a 16 -long cable. The ball is pulled back until the cable makes an angle of 23.0 with the vertical.

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To analyze this situation, we can use the principles of trigonometry. Let's find out what information we can determine from the given details.

We know that the wrecking ball is hanging from a cable that is 16 feet long. The ball is pulled back, making an angle of 23.0 degrees with the vertical. We can assume that the cable forms a right triangle with the vertical, where the cable acts as the hypotenuse.

Now, let's find the vertical and horizontal components of the tension force acting on the cable.

1. Vertical Component: The force of gravity acting on the wrecking ball provides the vertical component. Since we know the weight of the ball is 1500 lbs, we can calculate the vertical component as follows:

Vertical Component = Weight of the Ball = 1500 lbs

2. Horizontal Component: The horizontal component of the tension force balances out the horizontal forces acting on the ball. In this case, there is no horizontal force acting on the ball (assuming no wind resistance or horizontal movement). Therefore, the horizontal component of the tension force is zero.

To summarize:
- The vertical component of the tension force is 1500 lbs.
- The horizontal component of the tension force is 0 lbs.

If there are any other specific calculations or information you'd like to know, please let me know!