Calculating Velocity: Child on Ice with Thrown Ball - Physics Help

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The discussion focuses on calculating the velocity of a child sliding on ice after she throws a ball. The child has a mass of 28.0 kg and is moving at 2.25 m/s while holding a 2.4 kg ball that she throws at 2.70 m/s. The key principle applied is the conservation of momentum, which allows for the determination of the child's new velocity immediately after the ball is released. Rotational inertia is not relevant in this scenario, as the problem centers solely on translational kinetic energy and momentum conservation.

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ArchAngel1985
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The question I'm having trouble with is:
A child of mass 28.0 kg is sliding on ice with a velocity of 2.25 m/s in the positive x direction. She is holding a 2.4 kg ball in her hand. She throws the ball straight ahead of her with a velocity of 2.70 m/s (in the x direction). What is her velocity immediately after releasing the ball?

I think I need to get the rotational inertia for the ball to get its kinetic energy but I'm not given a radius.
 
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ArchAngel1985 said:
I think I need to get the rotational inertia for the ball to get its kinetic energy but I'm not given a radius.
You won't need rotational inertia. (No reason to think rotation is involved here.)

Instead, what physical principles might be relevant? Is anything conserved as she throws the ball?
 
I think that if the mass is not given you are expected to consider only the translational K.E.

Think about momentum!
 

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