Respuesta :
7.19 meters per second
Explanation
Step 1
find the acceleration of the skater
Newton's second law says that when a constant force acts on a massive body, it causes it to accelerate,it is defined by the expression
[tex]\begin{gathered} F=ma \\ where\text{ F is the applied force} \\ m\text{ is the mass} \\ a\text{ is the accelearaion} \end{gathered}[/tex]so
a) Let
[tex]\begin{gathered} F=72.5\text{ N} \\ m=45.3\text{ Kg} \end{gathered}[/tex]b) now, replace and solve for a
[tex]\begin{gathered} F=ma \\ replace \\ 72.5\text{ N=45.3 kg*a} \\ divide\text{ both sides by 45.3 Kg} \\ \frac{72.5N}{45.3}\text{=a} \\ a=1.6\text{ }\frac{m}{s^2} \end{gathered}[/tex]Step 2
Now, to find teh final speed we need to use the expression
[tex]v_f^2=v_1^2+2ax[/tex]so
a)Let
[tex]\begin{gathered} v_i=1.31\frac{m}{s} \\ x=15.6m \\ a=1.6\frac{m}{s^2} \end{gathered}[/tex]replace
[tex]\begin{gathered} v_f^2=v_1^2+2ax \\ v_f^2=(1.31)^2+2(1.6)(15.6) \\ v_f^2=51.63 \\ v_f=\sqrt{51.63} \\ v_f=7.19\frac{m}{s^} \end{gathered}[/tex]so, the answer is
7.19 meters per second
I hope this helps you
