Two identical spheres \( A \) and \( B \) are free to move and to rotate about their centres. Th...

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Two identical spheres \( A \) and \( B \) are free to move and to rotate about their centres. They are given the same impulse \( J \). The
\( \mathrm{P} \) lines of action of the impulses pass through the centre of \( A \)

W and away from the centre of \( B \), then
(1) \( A \) and \( B \) will have the same speed
(2) \( B \) will have greater kinetic energy than \( A \)
(3) they will have the same kinetic energy, but the linear kinetic energy of \( B \) will be less than that of \( A \)
(4) the kinetic energy of \( B \) will depend on the point of impact of the impulse on \( B \)
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