QUESTION IMAGE
Question
newtons laws quiz
part a
if the mass of an object doubles while the net force remains the same, what happens to acceleration?
part b
which law of motion best explains your answer to part a?
Step1: Use Newton's second law
Newton's second law is \(F = ma\), where \(F\) is the net force, \(m\) is the mass, and \(a\) is the acceleration. We can rewrite it as \(a=\frac{F}{m}\).
Step2: Analyze the change in acceleration
Let the initial mass be \(m_1 = m\), initial acceleration be \(a_1=\frac{F}{m}\). When the mass doubles, \(m_2 = 2m\), and the net force \(F\) remains the same. Then the new acceleration \(a_2=\frac{F}{m_2}=\frac{F}{2m}\).
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Part A: The acceleration is halved.
Part B: Newton's second law of motion.