Question

when a constant force acts upon an object, the acceleration of the object varies inversely with its mass. when a certain constant force acts upon an object with mass 18 kg, the acceleration of the object is 2 m/s². if the same force acts upon another object whose mass is 4 kg, what is this objects acceleration? m/s²

Explanation:

Step1: Find the constant force

According to Newton's second law \(F = ma\). When \(m = 18\space kg\) and \(a=2\space m/s^{2}\), then \(F=(18)(2)\)
\(F = 36\space N\)

Step2: Calculate the acceleration for the new mass

Since \(F = ma\), and now \(m = 4\space kg\) and \(F = 36\space N\), we solve for \(a\). Rearranging the formula gives \(a=\frac{F}{m}\). Substitute \(F = 36\) and \(m = 4\) into the formula: \(a=\frac{36}{4}\)
\(a = 9\space m/s^{2}\)

Answer:

\(9\)