# Why is acceleration affected by mass?

I can apply force to an object to make it accelerate. The amount of force I apply and the object's weight determine how much of an acceleration I get; if I want to accelerate something twice as much, I will apply twice as much force.

Example 1: If two friends are pushing identical ice chunks across a frozen lake, then each chunk's acceleration will only be the same if the force acting on it is also the same.

Example 2: When two friends are pushing two different sized chunks of ice across a frozen lake, and one of the chunks weighs twice as much as the other, the person pushing the heavier chunk must push twice as hard to stay ahead of her friend.

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Acceleration is affected by mass due to Newton's second law of motion, which states that force equals mass multiplied by acceleration (F = ma). Consequently, if mass increases while force remains constant, acceleration decreases, and vice versa. This relationship highlights the direct proportionality between force, mass, and acceleration.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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