Answer:
The magnitude of the resultant acceleration is [tex]2.44\ m/s^2[/tex].
Explanation:
Given that,
Mass of the sailboat, m = 3000 kg
It experiences an eastward force of 4500 N by the ocean tide and a wind force against its sails with magnitude of 5800 N directed toward the northwest. We need to find the magnitude of the resultant acceleration.
Firstly, we will find net force acting on it. First force is acting in east direction and other is in north direction. So, the resultant force is given by :
[tex]F=\sqrt{4500^2+5800^2} =7340.98\ N[/tex]
Net force acting on the sailboat is given by :
[tex]F=ma[/tex]
a is acceleration
[tex]a=\dfrac{F}{m}\\\\a=\dfrac{7340.98}{3000}\\\\a=2.44\ m/s^2[/tex]
So, the magnitude of the resultant acceleration is [tex]2.44\ m/s^2[/tex].
