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Answer:
Newton's Second Law states that an object's acceleration depends on the net force upon the object, as well as the object's mass.
So, a real world example of this would be pushing a vehicle out of a ditch. If your vehicle is a motorcycle, with a relatively small mass, then you don't need to apply much force on it, as compared to if the vehicle were a pickup truck, with a large mass, which would require much more force applied to move it out of the ditch.
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Answer:
One reason why it could be important is hitting a ball. if the ball is heavy it will be harder to hit it far than if its light.