The drawing shows a collision between two pucks on an air-hockey table. Puck A h

Question

The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.036 kg and is moving along the x axis with a velocity of +5.5 m/s. It makes a collision with puck B, which has a mass of 0.056 kg and is initially at rest. The collision is not head-on. After the collision, the two pucks fly apart with the angles shown in the drawing.

The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.036 kg and is moving along the x axis with a velocity of +5.5 m/s. It makes a collision with puck B, which has a mass of 0.056 kg and is initially at rest. The collision is not head-on. After the collision, the two pucks fly apart with the angles shown in the drawing. Find the final speed of puck A. m/s Find the final speed of puck B. m/s

Explanation / Answer

we have to solve in by conserving moment in vertical and horizontal directions

Horizontal direction

0.036*5.5 + 0 = 0.036*Va * cos65 + 0.056*Vb*cos37

vertical direction

0 + 0 = 0.036*Va*sin65 - 0.056*Vb*sin37

from two equation we get

Vb=3.27 m/s

Va = 3.38 m/s

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