What is the speed of the ball just after the collision?

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A 1.9-kg ball is attached to the end of a 0.6-m string to form a pendulum. This pendulum is released from rest with the string horizontal. At the lowest point of its swing, when it is moving horizontally, the ball collides with a 0.5-kg block initially at rest on a horizontal frictionless surface. The speed of the block just after the collision is 2.5 m/s. What is the speed of the ball just after the collision?

 

 

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The speed of ball just before collision can found by energy conservation

energy of ball at horizontal position = energy of ball just before collision

mgH= 1/2 mv2

H = length of string

v= 2gH

v = 2x9.8x0.6

v = 3.45 m/s

 

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