Given:
The mass of the object is m = 9.5 kg
The force acting on it is F = 14.2 N
The time duration is t = 3.6 s
The initial speed is
[tex]v_i=\text{ 4 m/s}[/tex]To calculate the final speed.
Explanation:
An impulse of an object is calculated as
[tex]Impulse\text{ = F}\times t[/tex]It can also be written as
[tex]\begin{gathered} Impulse\text{ = change in momentum} \\ =mv_f-mv_i \end{gathered}[/tex]So, the final velocity can be calculated by equating both the formula
[tex]\begin{gathered} F\times t=mv_f-mv_i \\ mv_f=F\times t+mv_i \\ v_f=\frac{(F\times t)+mv_i}{m} \end{gathered}[/tex]On substituting the values, the final speed will be
[tex]\begin{gathered} v_f=\frac{(14.2\times3.6)+(9.5\times4)}{9.5} \\ =9.381\text{ m/s} \end{gathered}[/tex]Thus, the correct choice is E
