Consider two bowling balls, same size and mass. Ball 1 is sliding forward while

Question

Consider two bowling balls, same size and mass. Ball 1 is sliding forward while ball 2 is rolling forward without slipping. Consider the work required to bring each to a stop. Would the work required to bring ball 1 to a stop be less than, greater, or equal to the work required to bring ball 2 to a stop? Justify your answer Consider two bowling balls, same size and mass. Ball 1 is sliding forward while ball 2 is rolling forward without slipping. Consider the work required to bring each to a stop. Would the work required to bring ball 1 to a stop be less than, greater, or equal to the work required to bring ball 2 to a stop? Justify your answer

Explanation / Answer

KE of the sliding ball KEt = 0.5*m*v^2

KE of the rolling ball = 0.5*( (2/5)*m*R^2 + m*R^2) *w^2

w = v/R

KEr = 0.7*m*v^2

KEr > KEt

from work energy theorem work done = change in KE

work done to stop ball 1 <   work done to stop ball 2

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