Consider three solid spheres, sphere (i) has radius r and mass m, sphere (ii) has radius r and mass 3 m, sphere (iii) has radius 3r and mass m, All can be placed at the same point on the same inclined plane, where they will roll without slipping to the bottom, If allowed to roll down the incline, then at the bottom of the incline

Consider three solid spheres, sphere (i) has radius r and mass m, sphe

1.	Consider three solid spheres, sphere (i) has radius r and mass m, sphere (ii) has radius r and mass 3 m, sphere (iii) has radius 3r and mass m, All can be placed at the same point on the same inclined plane, where they will roll without slipping to the bottom, If allowed to roll down the incline, then at the bottom of the incline
Answer» <html><body><p>sphere (i) will have the largest speed<br/>sphere (<a href="https://interviewquestions.tuteehub.com/tag/ii-1036832" style="font-weight:bold;" target="_blank" title="Click to know more about II">II</a>) will havethe largest speed<br/>sphere (iii) will have the largest kinetic energy<br/>all the sphere will have equal speeds.</p>Solution :Acceleration, `a=(g sin theta)/(1+(I)/(mv^(2)))` <br/> For a sphere, `(I)/(mv^(2))=(2)/(<a href="https://interviewquestions.tuteehub.com/tag/5-319454" style="font-weight:bold;" target="_blank" title="Click to know more about 5">5</a>)` <br/> Hence, `a=(5)/(7)g sin theta=` constant, <br/> Hence, speed of all sphere is same at the <a href="https://interviewquestions.tuteehub.com/tag/bottom-401202" style="font-weight:bold;" target="_blank" title="Click to know more about BOTTOM">BOTTOM</a>. Sphere (ii) has the largest <a href="https://interviewquestions.tuteehub.com/tag/mass-1088425" style="font-weight:bold;" target="_blank" title="Click to know more about MASS">MASS</a>. Hence, it will have the maximum kinetic energy.</body></html>