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April 18, 2014

April 18, 2014

Posted by **Katie** on Saturday, March 3, 2012 at 12:14pm.

Find the angle between the direction of motion of the second ball and the original direction of motion of the cue ball. Assume the masses are equal.

Find the original speed of the cue ball.

Is kinetic energy conserved?

- physics -
**Elena**, Saturday, March 3, 2012 at 5:17pmAccording to the law of conservation of linear momentum

vector(p)= vector(p1)+ vector(p2),

Let vector( p) is directed along +x-axis. Then vector (p1) is

below x-axis and vector(p2) is above it.

Projections on axes are

x: v = v1•cosα +v2•cosβ

y: 0 = - v1•sin α +v2•sinβ

sinβ = v1•sin α/v2 = 0.616.

β = arcsin 0.616 = 38 degr.

cos β = 0.788.

v = 4.15•0.906+2.846•0.788=6 m/s.

At elastic collision the kinetic energy is conserved.

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