Two smooth balls \( \mathrm{A} \) and \( \mathrm{B} \), each of mas...
0Two smooth balls \( \mathrm{A} \) and \( \mathrm{B} \), each of mass \( m \) and radius \( \mathrm{R} \), have their centers at \( (0,0, R) \) and at \( (5 R,-R, R) \) respectively, in a coordinate system as shown. Ball \( A \),
\( \mathrm{P} \) moving along positive \( x \)-axis, collides with ball \( B \). Just
W before the collision, speed of ball \( A \) is \( 4 \mathrm{~m} / \mathrm{s} \) and ball \( B \) is stationary. The collision between the balls is elastic.
Impulse of the force exerted by \( \mathrm{A} \) on \( \mathrm{B} \) during the collision is equal to
(1) \( (\sqrt{3} m i+3 m j) \frac{k g m}{s} \)
(2) \( \left(\frac{\sqrt{3}}{2} m i-\sqrt{3} m j\right) \frac{k g m}{s} \)
(3) \( (3 m i-\sqrt{3} m j) \frac{\mathrm{kgm}}{\mathrm{s}} \)
(4) \( (2 \sqrt{3} m i+3 j) \frac{k g m}{s} \)
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