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When a ball is being struck by a bat it certainly exerts a reaction force on the bat. But the bat does not move backward because the reaction is not enough to move the bat as it is much heavier than the ball. The reaction force is felt by the person who strikes the ball with the bat through his arm. If the ball is heavier than the ball the bat will surely get the reaction force and move back.

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Q: If a ball being struck by a bat exerts a reaction force on the bat why doesn't the bat move backward?
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