A2 000-kg sailboat experiences an eastward force of 3 000 n by the ocean tide and a wind force against its sails with magnitude of 6 000 n directed toward the northwest (45° n of w). what is the magnitude of the resultant acceleration?

Magnitude of resultant acceleration = 2.21 m/s²

Explanation:

We have equation for force , F = Mass x Acceleration

A 2 000-kg sailboat experiences an eastward force of 3 000 N by the ocean tide

3000 N = 2000 x a₁

a₁ = 1.5 m/s² eastward = 1.5 i m/s²

A wind force against its sails with magnitude of 6 000 N directed toward the northwest (45° N of W)

6000 N = 2000 x a₂

a₂ = 3 m/s² northwest (45° N of W) = -3 cos 45 i + 3 sin 45 j = -2.12 i + 2.12 j m/s²

Resultant acceleration, a = a₁+a₂ = 1.5 i -2.12 i + 2.12 j  = -0.62 i + 2.12 j

Magnitude of resultant acceleration = 2.21 m/s²

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