Answer :
Answer:
The acceleration of the boat is:
[tex]a=0.26\: m/s^{2}[/tex]
Explanation:
We need to find the total force acting on the boat, first of all.
We have one force (F1) towards the east and a second force (F2) towards the south, forming a right triangle.
So, we can use the Pythagorean theorem to find the magnitude of the total force (F(tot))
[tex]F_{tot}=\sqrt{F_{1}^{2}+F_{2}^{2}}[/tex]
[tex]F_{tot}=\sqrt{5^{2}+(-12)^{2}}[/tex]
[tex]F_{tot}=13\: N[/tex]
Applying Newton's second law, we can find the acceleration of the boat.
[tex]F_{tot}=ma[/tex]
[tex]a=\frac{F_{tot}}{m}[/tex]
[tex]a=\frac{13}{50}[/tex]
[tex]a=0.26\: m/s^{2}[/tex]
I hope it helps you!