Question

As shown in the picture to the right, a ball is suspended from the ceiling by a string of negligible mass. When the ball is set into motion such that it moves in a horizontal circle at a constant speed of 1.6m/s, the tension in the string is 7.7N. What is the length of the string?
Does the missing figure show the mass of the ball?

There is centripetal force of magnitude mv²/r (horizontal) and the weight (vertical) of mg to form the resultant tension of the string of 7.7N.
r is the horizontal radius, so must be adjusted for the angle the string makes with the vertical.

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