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 2kg the acceleration of the object is 38 m/s^2 . if the same force acts upon another object whose mass is 19 kg what is this object acceleration.
Solution.
[tex]\begin{gathered} a\text{ }\propto\text{ }\frac{\text{ 1}}{m} \\ a\text{ = }\frac{k}{m}\text{ , where k is a constant} \\ \text{when a = 28, m =2} \\ 28\text{ = k/2} \\ k\text{ = 28 x 2 = 56} \\ a\text{ =}\frac{56}{m}\text{ ( relationship between a and m)} \\ \\ \text{when m= 19} \\ \text{ a= }\frac{56}{19} \\ \text{ a = 2.95 ms-}^2 \end{gathered}[/tex]
