It is mainly due to the ball's mass.
It should be noted that this question is not provided completely and it is based on the string-pull illustration.
In physics , it is should be noted that string pull involves the use of one's influence with other people to get things done and this is interconnected to the mass of the object.
In this experiment, when one person put up the lower string downward, it would results to lower string breaks however the the upper string will survives, and the weight remains suspended from the ceiling.
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CHECK THE COMPLETE QUESTION BELOW:
In a string pull illustration, a sharp jark on the bottom string results in the bottom string breaking.
is this mainly due to the ball's weight or its mass? both mass and weight neither mass nor weight weight mass