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. enter your answer directly into the field or use our built - in number pad new acceleration (in m/s/s) check answer

Explanation:

Step1: Recall 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, \(F_1=m\times a_1\), and \(a_1 = 18.0\space m/s^2\).

Step2: Analyze the situation when force is tripled

When the force is tripled (\(F_2 = 3F_1\)), since mass \(m\) remains constant (assuming the object's mass doesn't change), from \(F=ma\) we have \(F_2=m\times a_2\). Substituting \(F_2 = 3F_1\) into \(F_2=m\times a_2\) gives \(3F_1=m\times a_2\). But \(F_1=m\times a_1\), so \(3(m\times a_1)=m\times a_2\). Canceling out the mass \(m\) (because \(m
eq0\)) on both sides of the equation, we get \(a_2 = 3a_1\).

Step3: Calculate the new acceleration

Substitute \(a_1=18.0\space m/s^2\) into \(a_2 = 3a_1\). Then \(a_2=3\times18.0\space m/s^2=54.0\space m/s^2\).

Answer:

\(54.0\)