A duck has a mass of 2.10 kg. As the duck paddles, a force of 0.140 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.180 N in a direction of 57.0° south of east. When these forces begin to act, the velocity of the duck is 0.100 m/s in a direction due east. Find (a) the magnitude and (b) the direction (relative to due east) of the displacement that the duck undergoes in 3.80 s while the forces are acting. (Note that the angle will be negative in the south of east direction.)

A duck has a mass of 2.10 kg. As the duck paddles, a force of 0.140 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.180 N in a direction of 57.0° south of east. When these forces begin to act, the velocity of the duck is 0.100 m/s in a direction due east. Find (a) the magnitude and (b) the direction (relative to due east) of the displacement that the duck undergoes in 3.80 s while the forces are acting. (Note that the angle will be negative in the south of east direction.)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A duck has a mass of 2.10 kg. As the duck paddles, a force of 0.140 N acts on it in a direction due east. In addition, the current of the
water exerts a force of 0.180 N in a direction of 57.0° south of east. When these forces begin to act, the velocity of the duck
is 0.100 m/s in a direction due east. Find (a) the magnitude and (b) the direction (relative to due east) of the displacement that the duck
undergoes in 3.80 s while the forces are acting. (Note that the angle will be negative in the south of east direction.)

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Step 1: Given data

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Step 2: Representation of given force vectors.

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Step 3: Calculation for components of net force on duck.

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Step 4: Calculation for horizontal and vertical accelerations on the duck.

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Step 5: Calculation for horizontal and vertical displacements of the duck.

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Step 6: Calculation for magnitude of net displacement of the duck.

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Step 7: Calculation for direction of net displacement of the duck.

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