If you hit different balls with the same amount of force using a baseball bat, the distance each ball travels will depend on several factors, including the mass, surface area, and elasticity of the balls. Here’s a general analysis of the three balls mentioned:
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Tennis Ball: It is lightweight and has a high coefficient of restitution due to its elastic nature, meaning it can compress and then rebound effectively. It will likely travel a decent distance but may not be as far as a heavier ball when hit with the same force.
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Soccer Ball: This is heavier than a tennis ball and is designed to be kicked long distances. When struck with a bat, it should travel reasonably well, but its larger size and weight compared to the tennis ball may not allow it to maximize the bat's force as efficiently as a lighter ball would.
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Basketball: While it is also quite large, it is relatively heavy and not as elastic as a tennis ball. Its shape and air-filled construction can cause it to not travel as far as the other two when hit directly with a bat.
In summary, if you strike all three balls with the same amount of force, the tennis ball would likely travel the furthest due to its lighter weight and higher elasticity, allowing it to make more effective use of the energy from the bat. The soccer ball would probably be next, while the basketball may not go as far due to its size and weight compared to the others.
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