A 3.0g marble (A) initially at rest is struck by a 2.0g marble (B) moving along the x-axis with a speed of 3.0 meters per second. After the collision the 2.0g marble (B) has a speed of 1.0 m/s and makes an angle of 32 degrees below the positive x-axis.

a.
What is the velocity of marble A? (magnitude and direction)
b.
What percent of kinetic energy is lost in the collision?


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