Question

an object has an acceleration of 12.0 m/s/s. if the net force acting upon this object were tripled, then its new acceleration would be ______ m/s/s.

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, \(F_1=m\times a_1\), and \(a_1 = 12.0\space m/s^2\).

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), from \(F_2=m\times a_2\), and \(F_2 = 3F_1\), \(F_1=m\times a_1\), we substitute \(F_1\) into the second equation: \(3\times(m\times a_1)=m\times a_2\).

Step3: Solve for the new acceleration

Cancel out the mass \(m\) (because \(m
eq0\)) from both sides of the equation \(3\times(m\times a_1)=m\times a_2\). We get \(a_2 = 3a_1\).
Substitute \(a_1=12.0\space m/s^2\) into \(a_2 = 3a_1\), then \(a_2=3\times12.0\space m/s^2\).

Answer:

\(36.0\)