Practice Questions

(V_y=sqrt{25^2-7^2}=sqrt{576}=24) m.

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(R_y=6-10+4=0) N.

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(R_x=8-3+5=10) N.

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(V=sqrt{8^2+(-6)^2}=10) m.

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(F_x=50cos37^circ=50(0.8)=40) N.

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(R=sqrt{9^2+12^2}=15) m.

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14. A resultant vector has (R_x=0) and (R_y=-12) N. Its direction is

A. Positive x-axis
B. Positive y-axis
C. Negative x-axis
D. Negative y-axis

The zero x-component makes the vector vertical. The negative y-component means downward.

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13. A vector has rectangular components -6 m and +8 m. The vector lies in the

A. First quadrant
B. Second quadrant
C. Third quadrant
D. Fourth quadrant

Negative x and positive y components place the vector in quadrant II.

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12. Direct addition of the magnitudes of two vectors gives the correct resultant magnitude when the vectors

A. Are perpendicular
B. Are opposite
C. Point in the same direction
D. Have different magnitudes

Parallel vectors pointing in the same direction can be added directly.

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(V_y=Vsin30^circ=10(0.5)=5) N.

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