Question

an object has an acceleration of 18.0 m/s/s. if the net force acting upon this object were tripled, then its new acceleration would be ______ m/s/s.
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new acceleration (in m/s/s)
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Explanation:

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. Initially, \(F_1=m\times a_1\), given \(a_1 = 18.0\space m/s^2\).

Step2: Analyze the new - force situation

When the net force is tripled, \(F_2 = 3F_1\). Since the mass \(m\) remains constant (assuming the object's mass doesn't change), and \(F_2=m\times a_2\). Substitute \(F_2 = 3F_1\) into \(F_2=m\times a_2\), we get \(3F_1=m\times a_2\). But \(F_1=m\times a_1\), so \(3(m\times a_1)=m\times a_2\).

Step3: Solve for the new acceleration

Cancel out the mass \(m\) (since \(m
eq0\)) from both sides of the equation \(3(m\times a_1)=m\times a_2\). We obtain \(a_2 = 3a_1\).

Answer:

\(54.0\)