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newtons 2nd law of motion is also called the law of acceleration. this law states that force equals mass times acceleration. it is a mathematical equation and is written like this: f = mass × acceleration. the mass of an object is the amount of matter in the object and acceleration is when an object speeds up, slows down, or changes direction. when mass is increased, the amount of force used to accelerate the object must be increased and when mass is decreased, the amount of force required to accelerate the object is decreased. if you increase the mass of an object and want to move the object a specific distance, what do you need to do? keep the amount of force constant. decrease the amount of force. increase the amount of force.
Step1: Analyze Newton's 2nd Law
Newton's 2nd Law is \(F = m\times a\). When moving an object a specific distance, assume acceleration \(a\) (related to motion over that distance) remains the same (for simplicity, as we focus on the relationship with mass).
Step2: Consider mass increase
If \(m\) (mass) increases and \(a\) is kept constant (to move the object the specific distance in the same - motion - related way), from \(F = m\times a\), since \(a\) is constant and \(m\) increases, \(F\) (force) must increase.
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Increase the amount of force.